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1.

電子ブック
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1. Combinatorial physics : combinatorics, quantum field theory, and quantum gravity models (: electronic bk)
Adrian Tanasa
出版情報: [Oxford] : Oxford University Press, [20--]  1 online resource
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目次情報: 続きを見る
Introduction / 1：
Graphs, ribbon graphs, and polynomials / 2：
Graph theory: The Tutte polynomial / 2.1：
Ribbon graphs; the Bollobás-Riordan polynomial / 2.2：
Selected further reading / 2.3：
Quantum field theory (QFT)-built-in combinatorics / 3：
Definition of the scalar ¿4 model / 3.1：
Perturbative expansion-Feynman graphs and their combinatorial weights / 3.2：
Fourier transform-the momentum space / 3.3：
Parametric representation of Feynman integrands / 3.4：
The propagator and the heat kernel / 3.5：
A glimpse of perturbative renormalization / 3.6：
The power counting theorem / 3.6.1：
Locality / 3.6.2：
Multi-scale analysis / 3.6.3：
The subtraction operator for a general Feynman graph / 3.6.4：
Dimensional renormalization / 3.6.5：
Dyson-Schwinger equation / 3.7：
Combinatorial (or 0-dimensional) QFT and the intermediate field method / 3.8：
Combinatorial (or 0-dimensionai) QFT / 3.8.1：
The intermediate field method / 3.8.2：
Tree weights and renormalization in QFT / 3.9：
Preliminary results / 4.1：
Partition tree weights / 4.2：
Combinatorial QFT and the Jacobian Conjecture / 4.3：
The Jacobian Conjecture as combinatorial QFT model (the Abdesselam-Rivasseau model) / 5.1：
The intermediate field method for the Abdesselam-Rivasseau model / 5.2：
Fermionic QFT, Grassmann calculus, and combinatorics / 5.3：
Grassmann algebras and Grassmann calculus / 6.1：
The Grassmann algebra / 6.1.1：
Grassmann calculus; Pfaffians as Grassmann integrals / 6.1.2：
On Grassmann Gaussian measures / 6.2：
Lingström-Gessel-Viennot (LGV) formula for graphs with cycles / 6.3：
Stembridge's formulas for graphs with cycles / 6.4：
A generalization / 6.5：
Tutte polynomial and the parametric representation in QFT / 6.6：
Analytic combinatorics and QFT / 6.7：
The Mellin transform technique / 7.1：
The saddle point method / 7.2：
Algebraic combinatorics and QFT / 7.3：
Algebraic reminder; Combinatorial Hopf Algebras (CHAs) / 8.1：
The Connes-Kreimer Hopf algebra of Feynman graphs / 8.2：
The B+ operator, Hochschild cohomology of the Connes-Kreimer algebra / 8.3：
Multi-scale renormaiizarion, CHA description / 8.4：
QFT on the non-commutative Moyal space and combinatorics / 8.5：
Mathematical setting: Renormalizability / 9.1：
The Mehler kernel and the Grosse-Wulkenhaar model / 9.2：
Parametric representation of Grosse-Wulkenhaar-like models / 9.3：
The Mellin transform and the Grosse-Wulkenhaar model / 9.4：
Dimensional renormalization for the Grosse-Wulkenhaar model / 9.5：
A heat kernel-based renormalizable model / 9.6：
Parametric representation and the Bollobás-Riordan polynomial / 9.7：
Parametric representation / 9.7.1：
Relation between the multi-variate Bollobás-Riordan and the polynomials of the parametric representation / 9.7.2：
Combinatorial Connes-Kreimer Hopf algebra and its Hochschild cohomology / 9.8：
Combinatorial Connes-Kreimer Hopf algebra / 9.8.1：
Hochschild cohomology and the combinatorial DSE / 9.8.2：
Quantum gravity, group field theory (GFT), and combinatorics / 9.9：
Quantum gravity / 10.1：
Main candidates for a theory of quantum gravity: The holographic principle / 10.2：
GFT models: the Boulatov and the colourable models / 10.3：
The multi-orientable GFT model / 10.4：
Tadpoles and generalized tadpoles / 10.4.1：
Tadfaces / 10.4.2：
Saddle point method for GFT Feynman integrals / 10.5：
Algebraic combinatorics and tensorial GFT / 10.6：
The Ben Geloun-Rivasseau (BGR) model / 10.6.1：
Cones-Kreimer Hopf algebraic description of the combinatorics of the renormalizability of the BGR model / 10.6.2：
Hochschild cohomology and the combinatorial DSE for tensorial GFT / 10.6.3：
From random matrices to random tensors / 10.7：
The large N limit / 11.1：
The double-scaling limit / 11.2：
From matrices to tensors / 11.3：
Tensor graph polynomials-a generalization of the Bollobás-Riordan polynomial / 11.4：
Random tensor models-the U(N)D-invariant model / 11.5：
Definition of the model and its DSE / 12.1：
U(N)D-invariant bubble interactions / 12.1.1：
Bubble observables / 12.1.2：
The DSE for the model / 12.1.3：
Navigating the following sections of the chapter / 12.1.4：
The DSE beyond the large N limit / 12.2：
The LO / 12.2.1：
Moments and Cumulants / 12.2.2：
Gaussian and non-Gaussian contributions / 12.2.3：
The DSE at NLO / 12.2.4：
The order 1/ND in the quartic model / 12.2.5：
Double-scaling limit in the DSE / 12.3：
From the quartic model to a generic model / 12.3.2：
Random tensor models-the multi-orientable (MO) model / 12.4：
Definition of the model / 13.1：
The 1/N expansion and the large N limit / 13.2：
Feynman amplitudes; the 1/N expansion / 13.2.1：
The large N limit-the LO (melonic graphs) / 13.2.2：
The large TV limit-the NLO / 13.2.3：
Leading and NLO series / 13.2.4：
Combinatorial analysis of the general term of the large N expansion / 13.3：
Dipoles, chains, schemes, and all that / 13.3.1：
Generating functions, asymptotic enumeration, and dominant schemes / 13.3.2：
The two-point function / 13.4：
The four-point function / 13.4.2：
The 2r-point function / 13.4.3：
Random tensor models-the O(N)3-invariant model / 13.5：
General model and large N expansion / 14.1：
Quartic model, large N expansion / 14.2：
Large N expansion: LO / 14.2.1：
NLO / 14.2.2：
General quartic model: Critical behaviour / 14.3：
Explicit counting of melonic graphs / 14.3.1：
Diagrammatic equations, LO and NLO / 14.3.2：
Singularity analysis / 14.3.3：
Critical exponents / 14.3.4：
The Sachdev-Ye-Kitaev (SYK) holographic model / 14.4：
Definition of the SYK model: Its Feynman graphs / 15.1：
Diagrammatic proof of the large N melonic dominance / 15.2：
The coloured SYK model / 15.3：
Definition of the model, real, and complex versions / 15.3.1：
Diagrammatics of the real and complex model / 15.3.2：
More on the coloured SYK Feynman graphs / 15.3.3：
Non-Gaussian disorder average in the complex model / 15.3.4：
SYK-like tensor models / 15.4：
The Gurau-Witten model and its diagrammatics / 16.1：
Two-point functions: LO, NLO, and so on / 16.1.1：
Four-point function: LO, NLO, and so on / 16.1.2：
The O(N)3-invariant SYK-Uke tensor model / 16.2：
The MO SYK-like tensor model / 16.3：
Relating MO graphs to O(N)3-invariant graphs / 16.4：
Diagrammatic techniques for O(N)3-invariant graphs / 16.5：
Two-edge-cuts / 16.5.1：
Dipole removals / 16.5.2：
Dipole insertions / 16.5.3：
Chains of dipoles / 16.5.4：
Face length / 16.5.5：
The strategy / 16.5.6：
Degree 1 graphs of the O(N)3-invariant SYK-like tensor model / 16.6：
2PI, dipole-free graph of degree one / 16.6.1：
The graphs of degree 1 / 16.6.2：
Degree 3/2 graphs of the O(N)3-invariant SYK-like tensor model / 16.7：
Examples of tree weights / A：
Symmetric weights-complete partition / A.1：
One singleton partition-rooted graph / A.2：
Two singleton partition-multi-rooted graph / A.3：
Renormalization of the Grosse-Wulkenhaar model, one-loop examples / B：
The B+ operator in Moyal QFT, two-loop examples / C：
One-loop analysis / C.1：
Two-loop analysis / C.2：
Explicit examples of GFT tensor Feynman integral computations / D：
A non-colourable, MO tensor graph integral / D.1：
A colourable, multi-orientable tensor graph integral / D.2：
A non-colourable, non-multi-orientable tensor graph integral / D.3：
Coherent states of SU(2) / E：
Proof of the double-scaling limit of the U(N)D-invariant tensor model / F：
Proof of Theorem 15.3.2 / G：
Bijection with constellations / G.1：
Bijection in the bipartite case / G.1.1：
The non-bipartite case / G.1.2：
Enumeration of coloured graphs of fixed order / G.2：
Exact enumeration / G.2.1：
The connectivity condition and SYK graphs / G.2.2：
Preliminary conditions / G.3.1：
The case q > 3 / G.3.2：
The case q = 3 / G.3.3：
Proof of Theorem 16.1.1 / G.3.4：
Summary of results on the diagrammatics of the coloured SYK model and of the Gurau-Witten model / I：
Bibliography
Index
Introduction / 1：
Graphs, ribbon graphs, and polynomials / 2：
Graph theory: The Tutte polynomial / 2.1：
2.

電子ブック
ＥＢ
2. Quantum theory : an information processing approach (: electronic bk)
Jochen Rau
出版情報: [Oxford] : Oxford University Press, [20--]  1 online resource
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3.

電子ブック
ＥＢ
3. Quantum physics in one dimension ((ebook) :)
Thierry Giamarchi
出版情報: Oxford : Clarendon, 2004  1 online resource (xvi, 424 p.)
シリーズ名: The international series of monographs on physics ; 121
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4.

電子ブック
ＥＢ
4. Quantum theory of solids ((ebook) :)
R.E. Peierls
出版情報: Oxford : Clarendon, 1955  1 online resource (viii, 229 p.).
シリーズ名: Oxford classic texts in the physical sciences
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Crystal lattices, general theory / 1：
Crystal lattices, applications / 2：
Interaction of light with non-conducting crystals / 3：
Electrons in a perfect lattice / 4：
Cohesive forces in metals / 5：
Transport phenomena / 6：
Magnetic properties of metals / 7：
Ferromagnetism / 8：
Interaction of light with electrons in solids / 9：
Semi-conductors and luminescence / 10：
Superconductivity / 11：
Bibliography
References
List of symbols
Index
Crystal lattices, general theory / 1：
Crystal lattices, applications / 2：
Interaction of light with non-conducting crystals / 3：
5.

電子ブック
ＥＢ
5. Quantum engineering : theory and design of quantum coherent structures (: electronic bk)
A.M. Zagoskin
出版情報: Cambridge Core  1 online resource (xii, 332 p.)
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Quantum mechanics for quantum engineers / 1：
Superconducting quantum circuits / 2：
Quantum devices based on two-dimensional electron gas / 3：
Superconducting multiqubit devices / 4：
Noise and decoherence / 5：
Applications and speculations / 6：
Appendix
Index
Preface
Basic notions of quantum mechanics / 1.1：
Density matrix formalism / 1.2：
Evolution of density matrix in open systems / 1.3：
Quantum dynamics of a two-level system / 1.4：
Slow evolution of a quantum system / 1.5：
Josephson effect / 2.1：
Quantum effects in Josephson junctions. Phase and flux qubits / 2.2：
Circuit analysis for quantum coherent structures. More flux qubits / 2.3：
Charge qubits / 2.4：
Quantum inductance and quantum capacitance / 2.5：
Superconductivity effects in normal conductors / 2.6：
Quantum transport in two dimensions / 3.1：
2DEG quantum dots / 3.2：
Loops, interferometers and hybrid structures / 3.3：
Physical implementations of qubit coupling / 4.1：
Quantum optics: a crash course / 4.2：
Circuit quantum electrodynamics / 4.3：
Phase space formalism of quantum optics / 4.4：
Quantum noise / 5.1：
Noise sources in solid-state systems / 5.2：
Decoherence suppression / 5.3：
Measurements and decoherence / 5.5：
Quantum metamaterials / 6.1：
Quantum slide rules / 6.2：
Quantum engines, fridges and demons / 6.3：
Appendix: Quantum gates
References
Quantum mechanics for quantum engineers / 1：
Superconducting quantum circuits / 2：
Quantum devices based on two-dimensional electron gas / 3：
6.

電子ブック
ＥＢ
6. Topological aspects of condensed matter physics : : lecture notes of the Les Houches Summer School. First edition ((ebook) :)
Claudio Chamon, Mark O. Goerbig, Roderich Moessner, and Leticia F. Cugliandolo
出版情報:   1 online resource
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7.

電子ブック
ＥＢ
7. Quantum theory : a very short introduction ((ebook) :)
John Polkinghorne
出版情報: Oxford : Oxford University Press, 2002  1 online resource (113 p.)
シリーズ名: Very short introductions ;
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Preface
List of illustrations
Classical cracks / 1：
The light dawns / 2：
Darkening perplexities / 3：
Further developments / 4：
Togetherness / 5：
Lessons and meanings / 6：
Further reading
Glossary
Mathematical appendix
Index
Preface
List of illustrations
Classical cracks / 1：
8.

電子ブック
ＥＢ
8. The quantum theory of atoms in molecules : : from solid state to DNA and drug design (: electronic bk)
edited by Chérif F. Matta and Russell J. Boyd
出版情報: Weinheim : [Chichester] : Wiley-VCH ; [John Wiley [distributor], 〓2007  1 online resource (xxxviii, 527 pages)
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Foreword
Preface
List of Abbreviations
Appearing in this Volume
List of Contributors
An Introduction to the Quantum Theory of Atoms in Molecules / ChA?rif F. Matta ; Russell J. Boyd1：
Introduction / 1.1：
The Topology of the Electron Density / 1.2：
The Topology of the Electron Density Dictates the Form of Atoms in Molecules / 1.3：
The Bond and Virial Paths, and the Molecular and Virial Graphs / 1.4：
The Atomic Partitioning of Molecular Properties / 1.5：
The Nodal Surface in the Laplacian as the Reactive Surface of a Molecule / 1.6：
Bond Properties / 1.7：
Atomic Properties / 1.8：
"Practical" Uses and Utility of QTAIM Bond and Atomic Properties / 1.9：
Steps of a Typical QTAIM Calculation / 1.10：
References
Advances in Theory / Part 1：
The Lagrangian Approach to Chemistry / Richard F. W. Bader2：
The Lagrangian Approach / 2.1：
The Action Principle in Quantum Mechanics / 2.3：
From Schr??dinger to Schwinger / 2.4：
Molecular Structure and Structural Stability / 2.5：
Reections and the Future / 2.6：
Atomic Response Properties / Todd A. Keith3：
Apparent Origin-dependence of Some Atomic Response Properties / 3.1：
Bond Contributions to "Null" Molecular Properties / 3.3：
Bond Contributions to Atomic Charges in Neutral Molecules / 3.4：
Atomic Contributions to Electric Dipole Moments of Neutral Molecules / 3.5：
Atomic Contributions to Electric Polarizabilities / 3.6：
Atomic Contributions to Vibrational Infrared Absorption Intensities / 3.7：
Atomic Nuclear Virial Energies / 3.8：
Atomic Contributions to Induced Electronic Magnetic Dipole Moments / 3.9：
Atomic Contributions to Magnetizabilities of Closed-Shell Molecules / 3.10：
QTAIM Analysis of Raman Scattering Intensities: Insights into the Relationship Between Molecular Structure and Electronic Charge Flow / Kathleen M. Gough ; Richard Dawes ; Jason R. Dwyer ; Tammy L. Welshman4：
Background to the Problem / 4.1：
Methodology / 4.3：
Speci.c Examples of the Use of AIM2000 Software to Analyze Raman Intensities / 4.4：
Patterns in I? That Are Discovered Through QTAIM / 4.5：
Patterns in qa/qr CH That Apply Across Di.erent Structures, Conformations, Molecular Types: What is Transferable? / 4.6：
What Can We Deduce From Simple Inspection of delta;alpha;/delta;r CH and delta;alpha;/delta;r CC From Gaussian? / 4.7：
Conclusion / 4.8：
Topological Atom-Atom Partitioning of Molecular Exchange Energy and its Multipolar Convergence / Michel Rafat ; Paul L. A. Popelier5：
Theoretical Background / 5.1：
Details of Calculations / 5.3：
Results and Discussion / 5.4：
The ELF Topological Analysis Contribution to Conceptual Chemistry and Phenomenological Models / Bernard Silvi ; Ronald J. Gillespie5.5：
Why ELF and What is ELF? / 6.1：
Concepts from the ELF Topology / 6.3：
VSEPR Electron Domains and the Volume of E / 6.4：
Foreword
Preface
List of Abbreviations
9.

電子ブック
ＥＢ
9. The theory of open quantum systems ((ebook) :)
Heinz-Peter Breuer, Francesco Petruccione
出版情報: Oxford : Clarendon, 2007  1 online resource (xxi, 613 p.)
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Probability in Classical and Quantum Physics / I：
Classical probability theory and stochastic processes / 1：
The probability space / 1.1：
The [sigma]-algebra of events / 1.1.1：
Probability measures and Kolmogorov axioms / 1.1.2：
Conditional probabilities and independence / 1.1.3：
Random variables / 1.2：
Definition of random variables / 1.2.1：
Transformation of random variables / 1.2.2：
Expectation values and characteristic function / 1.2.3：
Stochastic processes / 1.3：
Formal definition of a stochastic process / 1.3.1：
The hierarchy of joint probability distributions / 1.3.2：
Markov processes / 1.4：
The Chapman-Kolmogorov equation / 1.4.1：
Differential Chapman-Kolmogorov equation / 1.4.2：
Deterministic processes and Liouville equation / 1.4.3：
Jump processes and the master equation / 1.4.4：
Diffusion processes and Fokker-Planck equation / 1.4.5：
Piecewise deterministic processes / 1.5：
The Liouville master equation / 1.5.1：
Waiting time distribution and sample paths / 1.5.2：
Path integral representation of PDPs / 1.5.3：
Stochastic calculus for PDPs / 1.5.4：
Levy processes / 1.6：
Translation invariant processes / 1.6.1：
The Levy-Khintchine formula / 1.6.2：
Stable Levy processes / 1.6.3：
References
Quantum probability / 2：
The statistical interpretation of quantum mechanics / 2.1：
Self-adjoint operators and the spectral theorem / 2.1.1：
Observables and random variables / 2.1.2：
Pure states and statistical mixtures / 2.1.3：
Joint probabilities in quantum mechanics / 2.1.4：
Composite quantum systems / 2.2：
Tensor product / 2.2.1：
Schmidt decomposition and entanglement / 2.2.2：
Quantum entropies / 2.3：
Von Neumann entropy / 2.3.1：
Relative entropy / 2.3.2：
Linear entropy / 2.3.3：
The theory of quantum measurement / 2.4：
Ideal quantum measurements / 2.4.1：
Operations and effects / 2.4.2：
Representation theorem for quantum operations / 2.4.3：
Quantum measurement and entropy / 2.4.4：
Approximate measurements / 2.4.5：
Indirect quantum measurements / 2.4.6：
Quantum non-demolition measurements / 2.4.7：
Density Matrix Theory / II：
Quantum master equations / 3：
Closed and open quantum systems / 3.1：
The Liouville-von Neumann equation / 3.1.1：
Heisenberg and interaction picture / 3.1.2：
Dynamics of open systems / 3.1.3：
Quantum Markov processes / 3.2：
Quantum dynamical semigroups / 3.2.1：
The Markovian quantum master equation / 3.2.2：
The adjoint quantum master equation / 3.2.3：
Multi-time correlation functions / 3.2.4：
Irreversibility and entropy production / 3.2.5：
Microscopic derivations / 3.3：
Weak-coupling limit / 3.3.1：
Relaxation to equilibrium / 3.3.2：
Singular-coupling limit / 3.3.3：
Low-density limit / 3.3.4：
The quantum optical master equation / 3.4：
Matter in quantized radiation fields / 3.4.1：
Decay of a two-level system / 3.4.2：
Decay into a squeezed field vacuum / 3.4.3：
More general reservoirs / 3.4.4：
Resonance fluorescence / 3.4.5：
The damped harmonic oscillator / 3.4.6：
Non-selective, continuous measurements / 3.5：
The quantum Zeno effect / 3.5.1：
Density matrix equation / 3.5.2：
Quantum Brownian motion / 3.6：
The Caldeira-Leggett model / 3.6.1：
High-temperature master equation / 3.6.2：
The exact Heisenberg equations of motion / 3.6.3：
The influence functional / 3.6.4：
Non-linear quantum master equations / 3.7：
Quantum Boltzmann equation / 3.7.1：
Mean field master equations / 3.7.2：
Mean field laser equations / 3.7.3：
Non-linear Schrodinger equation / 3.7.4：
Super-radiance / 3.7.5：
Decoherence / 4：
The decoherence function / 4.1：
An exactly solvable model / 4.2：
Time evolution of the total system / 4.2.1：
Decay of coherences and the decoherence factor / 4.2.2：
Coherent subspaces and system-size dependence / 4.2.3：
Markovian mechanisms of decoherence / 4.3：
The decoherence rate / 4.3.1：
Internal degrees of freedom / 4.3.2：
Scattering of particles / 4.3.4：
Vacuum decoherence / 4.4：
Thermal noise / 4.4.2：
Electromagnetic field states / 4.5：
Atoms interacting with a cavity field mode / 4.5.1：
Schrodinger cat states / 4.5.2：
Caldeira-Leggett model / 4.6：
General decoherence formula / 4.6.1：
Ohmic environments / 4.6.2：
Decoherence and quantum measurement / 4.7：
Dynamical selection of a pointer basis / 4.7.1：
Dynamical model for a quantum measurement / 4.7.2：
Stochastic Processes in Hilbert Space / III：
Probability distributions on Hilbert space / 5：
The state vector as a random variable in Hilbert space / 5.1：
A new type of quantum mechanical ensemble / 5.1.1：
Stern-Gerlach experiment / 5.1.2：
Probability density functionals on Hilbert space / 5.2：
Probability measures on Hilbert space / 5.2.1：
Distributions on projective Hilbert space / 5.2.2：
Expectation values / 5.2.3：
Ensembles of mixtures / 5.3：
Probability density functionals on state space / 5.3.1：
Description of selective quantum measurements / 5.3.2：
Stochastic dynamics in Hilbert space / 6：
Dynamical semigroups and PDPs in Hilbert space / 6.1：
Reduced system dynamics as a PDP / 6.1.1：
The Hilbert space path integral / 6.1.2：
Diffusion approximation / 6.1.3：
Stochastic representation of continuous measurements / 6.1.4：
Stochastic time evolution of [epsilon subscript P]-ensembles / 6.2.1：
Short-time behaviour of the propagator / 6.2.2：
Direct photodetection / 6.3：
Derivation of the PDP / 6.3.1：
Path integral solution / 6.3.2：
Homodyne photodetection / 6.4：
Derivation of the PDP for homodyne detection / 6.4.1：
Stochastic Schrodinger equation / 6.4.2：
Heterodyne photodetection / 6.5：
Stochastic collapse models / 6.5.1：
Stochastic density matrix equations / 6.6：
Photodetection on a field mode / 6.7：
The photocounting formula / 6.7.1：
QND measurement of a field mode / 6.7.2：
The stochastic simulation method / 7：
Numerical simulation algorithms for PDPs / 7.1：
Estimation of expectation values / 7.1.1：
Generation of realizations of the process / 7.1.2：
Determination of the waiting time / 7.1.3：
Selection of the jumps / 7.1.4：
Algorithms for stochastic Schrodinger equations / 7.2：
General remarks on convergence / 7.2.1：
The Euler scheme / 7.2.2：
The Heun scheme / 7.2.3：
The fourth-order Runge-Kutta scheme / 7.2.4：
A second-order weak scheme / 7.2.5：
Examples / 7.3：
The driven two-level system / 7.3.1：
A case study on numerical performance / 7.4：
Numerical efficiency and scaling laws / 7.4.1：
The damped driven Morse oscillator / 7.4.2：
Applications to quantum optical systems / 8：
Continuous measurements in QED / 8.1：
Constructing the microscopic Hamiltonian / 8.1.1：
Determination of the QED operation / 8.1.2：
Stochastic dynamics of multipole radiation / 8.1.3：
Representation of incomplete measurements / 8.1.4：
Dark state resonances / 8.2：
Waiting time distribution and trapping state / 8.2.1：
Measurement schemes and stochastic evolution / 8.2.2：
Laser cooling and Levy processes / 8.3：
Dynamics of the atomic wave function / 8.3.1：
Coherent population trapping / 8.3.2：
Waiting times and momentum distributions / 8.3.3：
Strong field interaction and the Floquet picture / 8.4：
Floquet theory / 8.4.1：
Stochastic dynamics in the Floquet picture / 8.4.2：
Spectral detection and the dressed atom / 8.4.3：
Non-Markovian Quantum Processes / IV：
Projection operator techniques / 9：
The Nakajima-Zwanzig projection operator technique / 9.1：
Projection operators / 9.1.1：
The Nakajima-Zwanzig equation / 9.1.2：
The time-convolutionless projection operator method / 9.2：
The time-local master equation / 9.2.1：
Perturbation expansion of the TCL generator / 9.2.2：
The cumulant expansion / 9.2.3：
Perturbation expansion of the inhomogeneity / 9.2.4：
Error analysis / 9.2.5：
Stochastic unravelling in the doubled Hilbert space / 9.3：
Non-Markovian dynamics in physical systems / 10：
Spontaneous decay of a two-level system / 10.1：
Exact master equation and TCL generator / 10.1.1：
Jaynes-Cummings model on resonance / 10.1.2：
Jaynes-Cummings model with detuning / 10.1.3：
Spontaneous decay into a photonic band gap / 10.1.4：
The model and frequency renormalization / 10.2：
Factorizing initial conditions / 10.2.2：
The stationary state / 10.2.3：
Non-factorizing initial conditions / 10.2.4：
Disregarding the inhomogeneity / 10.2.5：
The spin-boson system / 10.3：
Microscopic model / 10.3.1：
Relaxation of an initially factorizing state / 10.3.2：
Equilibrium correlation functions / 10.3.3：
Transition from coherent to incoherent motion / 10.3.4：
Relativistic Quantum Processes / V：
Measurements in relativistic quantum mechanics / 11：
The Schwinger-Tomonaga equation / 11.1：
States as functionals of spacelike hypersurfaces / 11.1.1：
Foliations of space-time / 11.1.2：
The measurement of local observables / 11.2：
The operation for a local measurement / 11.2.1：
Relativistic state reduction / 11.2.2：
Multivalued space-time amplitudes / 11.2.3：
The consistent hierarchy of joint probabilities / 11.2.4：
EPR correlations / 11.2.5：
Continuous measurements / 11.2.6：
Non-local measurements and causality / 11.3：
Entangled quantum probes / 11.3.1：
Non-local measurement by EPR probes / 11.3.2：
Quantum state verification / 11.3.3：
Non-local operations and the causality principle / 11.3.4：
Restrictions on the measurability of operators / 11.3.5：
QND verification of non-local states / 11.3.6：
Preparation of non-local states / 11.3.7：
Exchange measurements / 11.3.8：
Quantum teleportation / 11.4：
Coherent transfer of quantum states / 11.4.1：
Teleportation and Bell-state measurement / 11.4.2：
Experimental realization / 11.4.3：
Open quantum electrodynamics / 12：
Density matrix theory for QED / 12.1：
Field equations and correlation functions / 12.1.1：
The reduced density matrix / 12.1.2：
The influence functional of QED / 12.2：
Elimination of the radiation degrees of freedom / 12.2.1：
Vacuum-to-vacuum amplitude / 12.2.2：
Second-order equation of motion / 12.2.3：
Decoherence by emission of bremsstrahlung / 12.3：
Introducing the decoherence functional / 12.3.1：
Physical interpretation / 12.3.2：
Evaluation of the decoherence functional / 12.3.3：
Path integral approach / 12.3.4：
Decoherence of many-particle states / 12.4：
Index
Probability in Classical and Quantum Physics / I：
Classical probability theory and stochastic processes / 1：
The probability space / 1.1：
10.

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10. Basic aspects of the quantum theory of solids : order and elementary excitations ((ebook))
Daniel I. Khomskii
出版情報:   1 online resource (xiv, 301 p.)
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Some basic notions of the classical and quantum statistical physics / 1：
General theory of phase transitions / 2：
Bose- and Fermi-statistics / 3：
Phonons in crystals / 4：
General Bose-systems: Bose-condensation / 5：
Magnetism / 6：
Electrons in metals / 7：
Interacting electrons: Green functions and Feynman diagrams (methods of the field theory in many-particle physics) / 8：
Electrons with Coulomb interaction / 9：
Fermi-liquid theory and its possible generalizations / 10：
Instabilities and phase transitions in electronic systems / 11：
Strongly correlated electrons / 12：
Magnetic impurities in metals, Kondo effect, heavy fermions and mixed valence / 13：
References
Index
Some basic notions of the classical and quantum statistical physics / 1：
General theory of phase transitions / 2：
Bose- and Fermi-statistics / 3：
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