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電子ブック

EB
Rashmi C. Desai, Raymond Kapral
出版情報: Cambridge University Press Online Books , 2009
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Preface
Self-organized and self-assembled structures / 1:
Order parameter, free energy and phase transitions / 2:
Free energy functional / 3:
Phase separation kinetics / 4:
Langevin model for nonconserved order parameter systems / 5:
Langevin model for conserved order parameter systems / 6:
Interface dynamics at late times / 7:
Domain growth and structure factor for model B / 8:
Order parameter correlation function / 9:
Vector order parameter and topological defects / 10:
Liquid crystals / 11:
Lifshitz-Slyozov-Wagner theory / 12:
Systems with long-range repulsive interactions / 13:
Kinetics of systems with competing interactions / 14:
Competing interactions and defect dynamics / 15:
Diffusively-rough interfaces / 16:
Morphological instability in solid films / 17:
Propagating chemical fronts / 18:
Transverse front instabilities / 19:
Cubic autocatalytic fronts / 20:
Competing interactions and front repulsion / 21:
Labyrinthine patterns in chemical systems / 22:
Turing patterns / 23:
Excitable media / 24:
Oscillatory media and complex Ginzburg-Landau equation / 25:
Spiral waves and defect turbulence / 26:
Complex-oscillatory media / 27:
Resonantly-forced oscillatory media / 28:
Nonequilibrium patterns in laser-induced melting / 29:
Reaction dynamics and phase segregation / 30:
Active materials / 31:
References
Index
Preface
Self-organized and self-assembled structures / 1:
Order parameter, free energy and phase transitions / 2:
2.

電子ブック

EB
Allan Griffin, Tetsuro Nikuni, Eugene Zaremba
出版情報: Cambridge University Press Online Books , 2009
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Preface
Overview and introduction / 1:
Historical overview of Bose superfluids / 1.1:
Summary of chapters / 1.2:
Condensate dynamics at T = 0 / 2:
Gross-Pitaevskii (GP) equation / 2.1:
Bogoliubov equations for condensate fluctuations / 2.2:
Coupled equations for the condensate and thermal cloud / 3:
Generalized GP equation for the condensate / 3.1:
Boltzmann equation for the noncondensate atoms / 3.2:
Solutions in thermal equilibrium / 3.3:
Region of validity of the ZNG equations / 3.4:
Green's functions and self-energy approximations / 4:
Overview of Green's function approach / 4.1:
Nonequilibrium Green's functions in normal systems / 4.2:
Green's functions in a Bose-condensed gas / 4.3:
Classification of self-energy approximations / 4.4:
Dielectric formalism / 4.5:
The Beliaev and the time-dependent HFB approximations / 5:
Hartree-Fock-Bogoliubov self-energies / 5.1:
Beliaev self-energy approximation / 5.2:
Beliave as time-dependent HFB / 5.3:
Density response in the Beliaev-Popov approximation / 5.4:
Kadanoff-Baym derivation of the ZNG equations / 6:
Kadanoff-Baym formalism for Bose superfluids / 6.1:
Hartree-Fock-Bogoliubov equations / 6.2:
Derivation of a kinetic equation with collisions / 6.3:
Collision integrals in the Hartree-Fock approximation / 6.4:
Generalized GP equation / 6.5:
Linearized collision integrals in collisionless theories / 6.6:
Kinetic equation for Bogoliubov thermal excitations / 7:
Generalized kinetic equation / 7.1:
Kinetic equation in the Bogoliubov-Popov approximation / 7.2:
Comments on improved theory / 7.3:
Static thermal cloud approximation / 8:
Condensate collective modes at finite temperatures / 8.1:
Phenomenological GP equations with dissipation / 8.2:
Relation to Pitaevskii's theory of superfluid relaxation / 8.3:
Vortices and vortex lattices at finite temperatures / 9:
Rotating frames of reference: classical treatment / 9.1:
Rotating frames of reference: quantum treatment / 9.2:
Transformation of the kinetic equation / 9.3:
Zaremba-Nikuni-Griffin equations in a rotating frame / 9.4:
Stationary states / 9.5:
Stationary vortex states at zero temperature / 9.6:
Equilibrium vortex state at finite temperatures / 9.7:
Nonequilibrium vortex states / 9.8:
Dynamics at finite temperatures using the moment method / 10:
Bose gas above TBEC / 10.1:
Scissors oscillations in a two-component superfluid / 10.2:
The moment of inertia and superfluid response / 10.3:
Numerical simulation of the ZNG equations / 11:
The generalized Gross-Pitaevskii equation / 11.1:
Collisionless particle evolution / 11.2:
Collisions / 11.3:
Self-consistent equilibrium properties / 11.4:
Equilibrium collision rates / 11.5:
Simulation of collective modes at finite temperature / 12:
Equilibration / 12.1:
Dipole oscillations / 12.2:
Radial breathing mode / 12.3:
Scissors mode oscillations / 12.4:
Quadrupole collective modes / 12.5:
Transverse breathing mode / 12.6:
Landau damping in trapped Bose-condensed gases / 13:
Landau damping in a uniform Bose gas / 13.1:
Landau damping in a trapped Bose gas / 13.2:
Numerical results for Landau damping / 13.3:
Landau's theory of superfluidity / 14:
History of two-fluid equations / 14.1:
First and second sound / 14.2:
Dynamic structure factor in the two-fluid region / 14.3:
Two-fluid hydrodynamics in a dilute Bose gas / 15:
Equations of motion for local equilibrium / 15.1:
Equivalence to the Landau two-fluid equations / 15.2:
First and second sound in a Bose-condensed gas / 15.3:
Hydrodynamic modes in a trapped normal Bose gas / 15.4:
Variational formulation of the Landau two-fluid equations / 16:
Zilsel's variational formulation / 16.1:
The action integral for two-fluid hydrodynamics / 16.2:
Hydrodynamic modes in a trapped gas / 16.3:
Two-fluid modes in the BCS-BEC crossover at unitarity / 16.4:
The Landau-Khalatnikov two-fluid equations / 17:
The Chapman-Enskog solution of the kinetic equation / 17.1:
Deviation from local equilibrium / 17.2:
Equivalence to Landau-Khalatnikov two-fluid equations / 17.3:
The C12 collisions and the second viscosity coefficients / 17.4:
Transport coefficients and relaxation times / 18:
Transport coefficients in trapped Bose gases / 18.1:
Relaxation times for the approach to local equilibrium / 18.2:
Kinetic equations versus Kubo formulas / 18.3:
General theory of damping of hydrodynamic modes / 19:
Review of coupled equations for hydrodynamic modes / 19.1:
Normal mode frequencies / 19.2:
General expression for damping of hydrodynamic modes / 19.3:
Hydrodynamic damping in a normal Bose gas / 19.4:
Hydrodynamic damping in a superfluid Bose gas / 19.5:
Monte Carlo calculation of collision rates / Appendix A:
Evaluation of transport coefficients: technical details / Appendix B:
Frequency-dependent transport coefficients / Appendix C:
Derivation of hydrodynamic damping formula / Appendix D:
References
Index
Preface
Overview and introduction / 1:
Historical overview of Bose superfluids / 1.1:
3.

電子ブック

EB
Daniele Oriti
出版情報: Cambridge University Press Online Books , 2009
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List of contributors page
Preface
Fundamental ideas and general formalisms / Part I:
Unfinished revolution / C. Rovelli1:
The fundamental nature of space and time / G. 't Hooft2:
Does locality fail at intermediate length scales? / R. D. Sorkin3:
Prolegomena to any future Quantum Gravity / J. Stachel4:
Spacetime symmetries in histories canonical gravity / N. Savvidou5:
Categorical geometry and the mathematical foundations of Quantum Gravity / L. Crane6:
Emergent relativity / O. Dreyer7:
Asymptotic Safety / R. Percacci8:
New directions in background independent Quantum Gravity / F. Markopoulou9:
Questions and answers
String/M-theory / Part II:
Gauge/gravity duality / G. Horowitz ; J. Polchinski10:
String theory, holography and Quantum Gravity / T. Banks11:
String field theory / W. Taylor12:
Loop quantum gravity and spin foam models / Part III:
Loop quantum gravity / T. Thiemann13:
Covariant loop quantum gravity? / E. Livine14:
The spin foam representation of loop quantum gravity / A. Perez15:
Three-dimensional spin foam Quantum Gravity / L. Freidel16:
The group field theory approach to Quantum Gravity / D. Oriti17:
Discrete Quantum Gravity / Part IV:
Quantum Gravity: the art of building spacetime / J. Ambjørn ; J. Jurkiewicz ; R. Loll18:
Quantum Regge Calculus / R. Williams19:
Consistent discretizations as a road to Quantum Gravity / R. Gambini ; J. Pullin20:
The causal set approach to Quantum Gravity / J. Henson21:
Effective models and Quantum Gravity phenomenology / Part V:
Quantum Gravity phenomenology / G. Amelino-Camelia22:
Quantum Gravity and precision tests / C. Burgess23:
Algebraic approach to Quantum Gravity II: noncommutative spacetime / S. Majid24:
Doubly special relativity / J. Kowalski-Glikman25:
From quantum reference frames to deformed special relativity / F. Girelli26:
Lorentz invariance violation and its role in Quantum Gravity phenomenology / J. Collins ; D. Sudarsky27:
Generic predictions of quantum theories of gravity / L. Smolin28:
Index
List of contributors page
Preface
Fundamental ideas and general formalisms / Part I:
4.

電子ブック

EB
Yoshio Kuramoto, YÅ«suke Kato
出版情報: Cambridge University Press Online Books , 2009
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5.

電子ブック

EB
Robert N. Cahn, Gerson Goldhaber
出版情報: Cambridge University Press Online Books , 2009
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Preface to the Second Edition
Preface to the First Edition
The Atom Completed and a New Particle / 1:
The Muon and the Pion / 2:
Strangeness / 3:
Antibaryons / 4:
The Resonances / 5:
Weak Interactions / 6:
The Neutral Kaon System / 7:
The Structure of the Nucleon / 8:
The J / ?, the ?, and Charm / 9:
Quarks, Gluons, and Jets / 10:
The Fifth Quark / 11:
From Neutral Currents to Weak Vector Bosons / 12:
Testing the Standard Model / 13:
The Top Quark / 14:
Mixing and CP Violation in Heavy Quark Mesons / 15:
Neutrino Masses and Oscillations / 16:
Epilogue / 17:
Index
Preface to the Second Edition
Preface to the First Edition
The Atom Completed and a New Particle / 1:
6.

電子ブック

EB
B. K. Ridley
出版情報: Cambridge University Press Online Books , 2009
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7.

電子ブック

EB
Mikhail Shifman, M. Shifman, A. Yung, Alexei Yung
出版情報: Cambridge University Press Online Books , 2009
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8.

電子ブック

EB
Dominik Marx, Jèurg Hutter, Jèurg Hutter, Jèurg Hutter, Jürg Hutter, Jürg Hutter
出版情報: Cambridge University Press Online Books , 2009
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Preface
Setting the stage: why ab initio molecular dynamics? / 1:
Basic techniques / Part I:
Getting started: unifying MD and electronic structure / 2:
Deriving classical molecular dynamics / 2.1:
Ehrenfest molecular dynamics / 2.2:
Born-Oppenheimer molecular dynamics / 2.3:
Car-Parrlnello molecular dynamics / 2.4:
What about Hellmann-Feynman forces? / 2.5:
Which method to choose? / 2.6:
Electronic structure methods / 2.7:
Basis sew / 2.8:
Implementation: using the plane wove basis set / 3:
Introduction and basic definitions / 3.1:
Electrostatic energy / 3.2:
Exchange and correlation energy / 3.3:
Total energy, gradients, and stress tensor / 3.4:
Energy and force calculations in practice / 3.5:
Optimizing the Kohn-Sham orbitals / 3.6:
Molecular dynamics / 3.7:
Program organization and layout / 3.8:
Atoms with plane waves: accurate pseudopotontials / 4:
Why pBcudopotentials? / 4.1:
Norm-conserving pseudopotentials / 4.2:
Pseudopotentials in the plane wave basis / 4.3:
Dual-space Gaussian pseudopotentials / 4.4:
Nonlinear core correction / 4.5:
Pseudopotential transferability / 4.6:
Example: pseudopotentials for carbon / 4.7:
Advanced techniques / Part II:
Beyond standard ab initio molecular dynamics / 5:
Introduction / 5.1:
Beyond microcanonics: thermostats, barostats, mctadynamics / 5.2:
Beyond ground states: ROKS, surface hopping, FEMD, TDDFT / 5.3:
Beyond classical nuclei: path integrals and quantum corrections / 5.4:
Hybrid QM/MM molecular dynamics / 5.5:
Beyond norm-conserving pseudopotentials / 6:
The PAW transformation / 6.1:
Expectation values / 6.3:
Ultrasoft pseudopotentials / 6.4:
PAW energy expression / 6.5:
Integrating the Car-Parrinello equations / 6.6:
Computing properties / 7:
Perturbation theory: Hessian, polarizability, NMR / 7.1:
Wannier functions: dipole moments, IR spectra, atomic charges / 7.2:
Parallel computing / 8:
Data structures / 8.1:
Computational kernels / 8.3:
Massively parallel processing / 8.4:
Applications / Part III:
From materials to biomoleeules / 9:
Solids, minerals, materials, and polymers / 9.1:
Interfaces / 9.3:
Mechanocliemistry and molecular electronics / 9.4:
Water and aqueous solutions / 9.5:
Non-aqueous Liquids and solutions / 9.6:
Glasses and amorphous systems / 9.7:
Matter at extreme conditions / 9.8:
Clusters, fullerenes, and nanotubes / 9.9:
Complex and fluxional molecules / 9.10:
Chemical reactions and transformations / 9.11:
Homogeneous catalysis and zeolites / 9.12:
Pbotophysics and photochemistry / 9.13:
Biophysics and biochemistry / 9.14:
Properties from ab initio simulations / 10:
Electronic structure analyses / 10.1:
Infrared spectroscopy / 10.3:
Magnetism, NMR and EPR spectroscopy / 10.4:
Electronic spectroscopy and redox properties / 10.5:
X-ray diffraction and Compton scattering / 10.6:
External electric fields / 10.7:
Outlook / 11:
Bibliography
Index
Preface
Setting the stage: why ab initio molecular dynamics? / 1:
Basic techniques / Part I:
9.

電子ブック

EB
Leonard Emanuel Parker, David J. Toms
出版情報: Cambridge University Press Online Books , Leiden : Cambridge University Press, 2009
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Preface
Acknowledgments
Conventions and notation
Quantum fields in Minkowski spacetime / 1:
Canonical formulation / 1.1:
Particles / 1.2:
Vacuum energy / 1.3:
Charged scalar field / 1.4:
Dirac field / 1.5:
Angular momentum and spin / 1.6:
Basics of quantum fields in curved spacetimes / 2:
Canonical quantization and conservation laws / 2.1:
Scalar field / 2.2:
Cosmological model: Arbitrary asymptotically static time dependence / 2.3:
Particle creation in a dynamic universe / 2.4:
Statistics from dynamics: Spin-0 / 2.5:
Conformally invariant non-interacting field / 2.6:
Probability distribution of created particles / 2.7:
Exact solution with particle creation / 2.8:
High-frequency blackbody distribution / 2.9:
de Sitter spacetime / 2.10:
Quantum fluctuations and early inflation / 2.11:
Quantizing the inflaton field perturbations / 2.12:
A word on interacting quantized fields and on algebraic quantum field theory in curved spacetime / 2.13:
Accelerated detector in Minkowski spacetime / 2.14:
Expectation values quadratic in fields / 3:
Adiabatic subtraction and physical quantities / 3.1:
Energy-momentum tensor from trace anomaly / 3.2:
Renormalization in general spacetimes / 3.3:
Gaussian approximation to propagator / 3.4:
Approximate energy-momentum tensor in Schwarzschild, de Sitter, and other static Einstein spacetimes / 3.5:
R-summed form of propagator / 3.6:
R-summed action and cosmic acceleration / 3.7:
Normal coordinate momentum space / 3.8:
Chiral current anomaly caused by spacetime curvature / 3.9:
Particle creation by black holes / 4:
Introduction / 4.1:
Classical considerations / 4.2:
Quantum aspects / 4.3:
Energy-momentum tensor with Hawking flux / 4.4:
Back reaction to black hole evaporation / 4.5:
Trans-Planckian physics in Hawking radiation and cosmology / 4.6:
Further topics: Closed timelike curves; closed-time-path integral / 4.7:
The one-loop effective action / 5:
Preliminary definition of the effective action / 5.1:
Regularizatlon of the effective action / 5.3:
Effective action for scalar fields: Some examples / 5.4:
The conformal anomaly and the functional integral / 5.5:
Spinors in curved spacetime / 5.6:
The effective action for spinor fields / 5.7:
Application of the effective action for spinor fields / 5.8:
The axial, or chiral, anomaly / 5.9:
The effective action: Non-gauge theories / 6:
The Schwinger action principle / 6.1:
The Feynman path integral / 6.3:
The effective action / 6.4:
The geometrical effective action / 6.5:
Perturbative expansion of the effective action / 6.6:
Renormalization of an interacting scalar field theory / 6.7:
The renormalization group and the effective action / 6.8:
The effective potential / 6.9:
The renormalization of the non-linear sigma model / 6.10:
Formal properties of the effective action / 6.11:
Appendix
The effective action: Gauge theories / 7:
Gauge transformations / 7.1:
The orbit space and the gauge condition / 7.3:
Field space reparameterization and the Killing equation / 7.4:
The connection and its consequences / 7.5:
The functional measure for gauge theories / 7.6:
Gauge-invariant effective action / 7.7:
Yang-Mills theory, concluded / 7.8:
Scalar quantum electrodynamics / 7.9:
Appendix: Quantized Inflaton Perturbations
References
Index
Preface
Acknowledgments
Conventions and notation
10.

電子ブック

EB
Howard M. Wiseman, Gerard J. Milburn
出版情報: Cambridge University Press Online Books , Cambridge University Press, 2009
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Preface
Quantum measurement theory / 1:
Classical measurement theory / 1.1:
Representing outcomes as operators / 1.2:
Most general formulation of quantum measurements / 1.4:
Measuring a single photon / 1.5:
Further reading / 1.6:
Quantum parameter estimation / 2:
Quantum limits to parameter estimation / 2.1:
Optimality using Fisher information / 2.2:
Examples of BC-optimal parameter estimation / 2.3:
Interferometry-other optimality conditions / 2.4:
Interferometry-adaptive parameter estimation / 2.5:
Experimental results for adaptive phase estimation / 2.6:
Quantum state discrimination / 2.7:
Open quantum systems / 2.8:
Introduction / 3.1:
The Born-Markov master equation / 3.2:
The radiative-damping master equation / 3.3:
Irreversibility without the rotating-wave approximation / 3.4:
Ferrnionic reservoirs / 3.5:
The Lindblad form and positivity / 3.6:
Decohereiice and the pointer basis / 3.7:
Preferred en sembles / 3.8:
Decoherence in a quantum optical system / 3.9:
Other examples of decoherence / 3.10:
Heisenberg-picture dynamics / 3.11:
Quantum trajectories / 3.12:
Quantum jumps / 4.1:
Photodetection / 4.3:
Homodyne detection / 4.4:
Heterodyne detection and beyond / 4.5:
Illustration on the Bloch sphere / 4.6:
Monitoring in the Heisenberg picture / 4.7:
Imperfect detection / 4.8:
Continuous measurement in mesoscopic electronics / 4.9:
Quantum feedback control / 4.10:
Feedback with optical beams using linear optics / 5.1:
Feedback with optical beams using nonlinear optics / 5.3:
Feedback control of a monitored system / 5.4:
Homodyne-mediated feedback control / 5.5:
Markovian feedback in a linear system / 5.6:
Deterministic spin-squeezing / 5.7:
State-based quantum feedback control / 5.8:
Freezing a conditional state / 6.1:
General classical systems / 6.3:
Linear classical systems / 6.4:
General quantum systems / 6.5:
Linear quantum systems / 6.6:
Applications to quantum information processing / 6.7:
Quantum teleportation of a qubit / 7.1:
Quantum teleportation for continuous variables / 7.3:
Errors and error correction / 7.4:
Feedback to correct continuously detected errors / 7.5:
QEC using continuous feedback / 7.6:
Continuous QEC without measurement / 7.7:
Linear optical quantum computation / 7.8:
Adaptive phase measurement and single-rail LOQC / 7.9:
Quantum mechanics and phase-space / 7.10:
Fundamentals of quantum mechanics / A.1:
Multipartite systems and entanglement / A.2:
Position and momentum / A.3:
The harmonic oscillator / A.4:
Quasiprobability distributions / A.5:
Stochastic differential equations / Appendix B:
Gaussian white noise / B.l:
Ito stochastic differential calculus / B.2:
The Itô-Stratonovich relation / B.3:
Solutions to SDEs / B.4:
The connection to the Fokker-Planck equation / B.5:
More general noise / B.6:
References
Index
Preface
Quantum measurement theory / 1:
Classical measurement theory / 1.1:
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