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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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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
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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
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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. 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
7.

電子ブック
ＥＢ
7. 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：
8.

電子ブック
ＥＢ
8. Quantum transport : introduction to nanoscience ((ebook))
Yuli V. Nazarov, Yaroslav M. Blanter
出版情報:   1 online resource (viii, 581 p.)
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Preface
Introduction
Scattering / 1：
Classical and semiclassical transport / 2：
Coulomb blockade / 3：
Randomness and interference / 4：
Qubits and quantum dots / 5：
Interaction, relaxation and decoherence / 6：
Appendices
References
Index
Wave properties of electrons / 1.1：
Quantum contacts / 1.2：
Scattering matrix and the Landauer formula / 1.3：
Counting electrons / 1.4：
Multi-terminal circuits / 1.5：
Quantum interference / 1.6：
Time-dependent transport / 1.7：
Andreev scattering / 1.8：
Spin-dependent scattering / 1.9：
Disorder, averaging, and Ohm's law / 2.1：
Electron transport in solids / 2.2：
Semiclassical coherent transport / 2.3：
Current conservation and Kirchhoff rules / 2.4：
Reservoirs, nodes, and connectors / 2.5：
Ohm's law for transmission distribution / 2.6：
Spin transport / 2.7：
Circuit theory of superconductivity / 2.8：
Full counting statistics / 2.9：
Couloumb blockade
Charge quantization and charging energy / 3.1：
Single-electron transfers / 3.2：
Single-electron transport and manipulation / 3.3：
Co-tunneling / 3.4：
Macroscopic quantum mechanics / 3.5：
Josephson arrays / 3.6：
Superconducting islands beyond the Josephson limit / 3.7：
Random matrices / 4.1：
Energy-level statistics / 4.2：
Statistics of transmission eigenvalues / 4.3：
Interference corrections / 4.4：
Strong localization / 4.5：
Quantum computers / 5.1：
Quantum goodies / 5.2：
Quantum manipulation / 5.3：
Quantum dots / 5.4：
Charge qubits / 5.5：
Phase and flux qubits / 5.6：
Spin qubits / 5.7：
Interaction, relaxation, and decoherence
Quantization of electric excitations / 6.1：
Dissipative quantum mechanics / 6.2：
Tunneling in an electromagnetic environment / 6.3：
Electrons moving in an environment / 6.4：
Weak interaction / 6.5：
Fermionic environment / 6.6：
Relaxation and decoherence of qubits / 6.7：
Relaxation and dephasing of electrons / 6.8：
Survival kit for advanced quantum mechanics / Appendix A：
Survival kit for superconductivity / Appendix B：
Unit conversion / Appendix C：
Preface
Introduction
Scattering / 1：
9.

電子ブック
ＥＢ
9. The quantum theory of motion : an account of the de Broglie-Bohm causal interpretation of quantum mechanics (: electronic bk)
Peter R. Holland
出版情報:   1 online resource (xix, 598 p.)
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Quantum mechanics and its interpretation / 1：
Hamilton-Jacobi theory / 2：
Elements of the quantum theory of motion / 3：
Simple applications / 4：
Interference and tunnelling / 5：
The classical limit / 6：
Many-body systems / 7：
Theory of experiments / 8：
Spin 1/2: The Pauli theory / 9：
Spin 1/2: The rigid rotator / 10：
The Einstein-Podolsky-Rosen experiment and nonlocality / 11：
Relativistic quantum theory / 12：
References
Index
Quantum mechanics and its interpretation / 1：
Hamilton-Jacobi theory / 2：
Elements of the quantum theory of motion / 3：
10.

電子ブック
ＥＢ
10. The basic physics of quantum theory (: electronic bk)
Basil S Davis
出版情報: World Scientific eBooks  1 online resource (xi, 194 p.)
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