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2011008577 contributor B12109603.
2011008577 contributor B12109604.
2011008577 created "c2011.".
2011008577 date "2011".
2011008577 date "c2011.".
2011008577 dateCopyrighted "c2011.".
2011008577 description "Includes bibliographical references and index.".
2011008577 description "Machine generated contents note: pt. I BASIS REQUIRED FOR QUANTUM OSCILLATOR STUDIES -- ch. 1 Basic Concepts Required For Quantum Mechanics -- 1.1.Basic Concepts of Complex Vectorial Spaces -- 1.2.Hermitian Conjugation -- 1.3.Hermiticity and Unitarity -- 1.4.Algebra Operators -- ch. 2 Basis For Quantum Approaches Of Oscillators -- 2.1.Oscillator Quantization at the Historical Origin of Quantum Mechanics -- 2.2.Quantum Mechanics Postulates and Noncommutativity -- 2.3.Heisenberg Uncertainty Relations -- 2.4.Schrodinger Picture Dynamics -- 2.5.Position or Momentum Translation Operators -- 2.6.Conclusion -- Bibliography -- ch. 3 Quantum Mechanics Representations -- 3.1.Matrix Representation -- 3.2.Wave Mechanics -- 3.3.Evolution Operators -- 3.4.Density operators -- 3.5.Conclusion -- Bibliography -- ch. 4 Simple Models Useful For Quantum Oscillator Physics -- 4.1.Particle-in-a-Box Model -- 4.2.Two-Energy-Level Systems -- 4.3.Conclusion -- Bibliography -- pt. II SINGLE QUANTUM HARMONIC OSCILLATORS -- ch. 5 Energy Representation For Quantum Harmonic Oscillator -- 5.1.Hamiltonian Eigenkets and Eigenvalues -- 5.2.Wavefunctions Corresponding to Hamiltonian Eigenkets -- 5.3.Dynamics -- 5.4.Boson and fermion operators -- 5.5.Conclusion -- Bibliography -- ch. 6 Coherent States And Translation Operators -- 6.1.Coherent-State Properties -- 6.2.Poisson Density Operator -- 6.3.Average and Fluctuation of Energy -- 6.4.Coherent States as Minimizing Heisenberg Uncertainty Relations -- 6.5.Dynamics -- 6.6.Translation Operators -- 6.7.Coherent-State Wavefunctions -- 6.8.Franck-Condon Factors -- 6.9.Driven Harmonic Oscillators -- 6.10.Conclusion -- Bibliography -- ch. 7 Boson Operator Theorems -- 7.1.Canonical Transformations -- 7.2.Normal and Antinormal Ordering Formalism -- 7.3.Time Evolution Operator of Driven Harmonic Oscillators -- 7.4.Conclusion -- Bibliography -- ch. 8 Phase Operators And Squeezed States -- 8.1.Phase Operators -- 8.2.Squeezed States -- 8.3.Bogoliubov-Valatin transformation -- 8.4.Conclusion -- Bibliography -- pt. III ANHARMONICITY -- ch. 9 Anharmonic Oscillators -- 9.1.Model for Diatomic Molecule Potentials -- 9.2.Harmonic oscillator perturbed by a Q3 potential -- 9.3.Morse Oscillator -- 9.4.Quadratic Potentials Perturbed by Cosine Functions -- 9.5.Double-well potential and tunneling effect -- 9.6.Conclusion -- Bibliography -- ch. 10 Oscillators Involving Anharmonic Couplings -- 10.1.Fermi resonances -- 10.2.Strong Anharmonic Coupling Theory -- 10.3.Strong Anharmonic Coupling within the Adiabatic Approximation -- 10.4.Fermi Resonances and Strong Anharmonic Coupling within Adiabatic Approximation -- 10.5.Davydov and Strong Anharmonic Couplings -- 10.6.Conclusion -- Bibliography -- pt. IV OSCILLATOR POPULATIONS IN THERMAL EQUILIBRIUM -- ch. 11 Dynamics Of A Large Set Of Coupled Oscillators -- 11.1.Dynamical Equations in the Normal Ordering Formalism -- 11.2.Solving the linear set of differential equations (11.27) -- 11.3.Obtainment of the Dynamics -- 11.4.Application to a Linear Chain -- 11.5.Conclusion -- Bibliography -- ch. 12 Density Operators For Equilibrium Populations Of Oscillators -- 12.1.Boltzmann's H-Theorem -- 12.2.Evolution Toward Equilibrium of a Large Population of Weakly Coupled Harmonic Oscillators -- 12.3.Microcanonical Systems -- 12.4.Equilibrium Density Operators from Entropy Maximization -- 12.5.Conclusion -- Bibliography -- ch. 13 Thermal Properties Of Harmonic Oscillators -- 13.1.Boltzmann Distribution Law inside a Large Population of Equivalent Oscillators -- 13.2.Thermal properties of harmonic oscillators -- 13.3.Helmholtz Potential for Anharmonic Oscillators -- 13.4.Thermal Average of Boson Operator Functions -- 13.5.Conclusion -- Bibliography -- pt. V QUANTUM NORMAL MODES OF VIBRATION -- ch. 14 Quantum Electromagnetic Modes -- 14.1.Maxwell Equations -- 14.2.Electromagnetic Field Hamiltonian -- 14.3.Polarized Normal Modes -- 14.4.Normal Modes of a Cavity -- 14.5.Quantization of the Electromagnetic Fields -- 14.6.Some Thermal Properties of the Quantum Fields -- 14.7.Conclusion -- Bibliography -- ch. 15 Quantum Modes In Molecules And Solids -- 15.1.Molecular Normal Modes -- 15.2.Phonons and Normal Modes in Solids -- 15.3.Einstein and Debye Models of Heat Capacity -- 15.4.Conclusion -- Bibliography -- pt. VI DAMPED HARMONIC OSCILLATORS -- ch. 16 Damped Oscillators -- 16.1.Quantum Model for Damped Harmonic Oscillators -- 16.2.Second-Order Solution of Eq. (16.41) -- 16.3.Fokker-Planck Equation Corresponding to (16.114) -- 16.4.Nonperturbative Results for Density Operator -- 16.5.Langevin Equations for Ladder Operators -- 16.6.Evolution Operators of Driven Damped Oscillators -- 16.7.Conclusion -- Bibliography -- pt. VII VIBRATIONAL SPECTROSCOPY -- ch. 17 Applications To Oscillator Spectroscopy -- 17.1.IR Selection Rules for Molecular Oscillators -- 17.2.IR Spectra within the Linear Response Theory -- 17.3.IR Spectra of Weak H-Bonded Species -- 17.4.SD of Damped Weak H-Bonded Species -- 17.5.Approximation for Quantum Damping -- 17.6.Damped Fermi Resonances -- 17.7.H-Bonded IR Line Shapes Involving Fermi Resonance -- 17.8.Line Shapes of H-Bonded Cyclic Dimers -- Bibliography -- ch. 18 Appendix -- 18.1.An Important Commutator -- 18.2.An Important Basic Canonical Transformation -- 18.3.Canonical Transformation on a Function of Operators -- 18.4.Glauber-Weyl Theorem -- 18.5.Commutators of Functions of the P and Q operators -- 18.6.Distribution Functions and Fourier Transforms -- 18.7.Lagrange Multipliers Method -- 18.8.Triple Vector Product -- 18.9.Point Groups -- 18.10.Scientific Authors Appearing in the Book.".
2011008577 extent "xxiii, 647 p. :".
2011008577 identifier "047046609X (cloth)".
2011008577 identifier "9780470466094 (cloth)".
2011008577 issued "2011".
2011008577 issued "c2011.".
2011008577 language "eng".
2011008577 publisher "Hoboken, N.J. : Wiley,".
2011008577 subject "541/.224 23".
2011008577 subject "Harmonic oscillators.".
2011008577 subject "Hydrogen bonding.".
2011008577 subject "QC174.2 .H45 2011".
2011008577 subject "SCIENCE / Chemistry / Physical & Theoretical bisacsh".
2011008577 subject "Spectrum analysis.".
2011008577 subject "Wave mechanics.".
2011008577 tableOfContents "Machine generated contents note: pt. I BASIS REQUIRED FOR QUANTUM OSCILLATOR STUDIES -- ch. 1 Basic Concepts Required For Quantum Mechanics -- 1.1.Basic Concepts of Complex Vectorial Spaces -- 1.2.Hermitian Conjugation -- 1.3.Hermiticity and Unitarity -- 1.4.Algebra Operators -- ch. 2 Basis For Quantum Approaches Of Oscillators -- 2.1.Oscillator Quantization at the Historical Origin of Quantum Mechanics -- 2.2.Quantum Mechanics Postulates and Noncommutativity -- 2.3.Heisenberg Uncertainty Relations -- 2.4.Schrodinger Picture Dynamics -- 2.5.Position or Momentum Translation Operators -- 2.6.Conclusion -- Bibliography -- ch. 3 Quantum Mechanics Representations -- 3.1.Matrix Representation -- 3.2.Wave Mechanics -- 3.3.Evolution Operators -- 3.4.Density operators -- 3.5.Conclusion -- Bibliography -- ch. 4 Simple Models Useful For Quantum Oscillator Physics -- 4.1.Particle-in-a-Box Model -- 4.2.Two-Energy-Level Systems -- 4.3.Conclusion -- Bibliography -- pt. II SINGLE QUANTUM HARMONIC OSCILLATORS -- ch. 5 Energy Representation For Quantum Harmonic Oscillator -- 5.1.Hamiltonian Eigenkets and Eigenvalues -- 5.2.Wavefunctions Corresponding to Hamiltonian Eigenkets -- 5.3.Dynamics -- 5.4.Boson and fermion operators -- 5.5.Conclusion -- Bibliography -- ch. 6 Coherent States And Translation Operators -- 6.1.Coherent-State Properties -- 6.2.Poisson Density Operator -- 6.3.Average and Fluctuation of Energy -- 6.4.Coherent States as Minimizing Heisenberg Uncertainty Relations -- 6.5.Dynamics -- 6.6.Translation Operators -- 6.7.Coherent-State Wavefunctions -- 6.8.Franck-Condon Factors -- 6.9.Driven Harmonic Oscillators -- 6.10.Conclusion -- Bibliography -- ch. 7 Boson Operator Theorems -- 7.1.Canonical Transformations -- 7.2.Normal and Antinormal Ordering Formalism -- 7.3.Time Evolution Operator of Driven Harmonic Oscillators -- 7.4.Conclusion -- Bibliography -- ch. 8 Phase Operators And Squeezed States -- 8.1.Phase Operators -- 8.2.Squeezed States -- 8.3.Bogoliubov-Valatin transformation -- 8.4.Conclusion -- Bibliography -- pt. III ANHARMONICITY -- ch. 9 Anharmonic Oscillators -- 9.1.Model for Diatomic Molecule Potentials -- 9.2.Harmonic oscillator perturbed by a Q3 potential -- 9.3.Morse Oscillator -- 9.4.Quadratic Potentials Perturbed by Cosine Functions -- 9.5.Double-well potential and tunneling effect -- 9.6.Conclusion -- Bibliography -- ch. 10 Oscillators Involving Anharmonic Couplings -- 10.1.Fermi resonances -- 10.2.Strong Anharmonic Coupling Theory -- 10.3.Strong Anharmonic Coupling within the Adiabatic Approximation -- 10.4.Fermi Resonances and Strong Anharmonic Coupling within Adiabatic Approximation -- 10.5.Davydov and Strong Anharmonic Couplings -- 10.6.Conclusion -- Bibliography -- pt. IV OSCILLATOR POPULATIONS IN THERMAL EQUILIBRIUM -- ch. 11 Dynamics Of A Large Set Of Coupled Oscillators -- 11.1.Dynamical Equations in the Normal Ordering Formalism -- 11.2.Solving the linear set of differential equations (11.27) -- 11.3.Obtainment of the Dynamics -- 11.4.Application to a Linear Chain -- 11.5.Conclusion -- Bibliography -- ch. 12 Density Operators For Equilibrium Populations Of Oscillators -- 12.1.Boltzmann's H-Theorem -- 12.2.Evolution Toward Equilibrium of a Large Population of Weakly Coupled Harmonic Oscillators -- 12.3.Microcanonical Systems -- 12.4.Equilibrium Density Operators from Entropy Maximization -- 12.5.Conclusion -- Bibliography -- ch. 13 Thermal Properties Of Harmonic Oscillators -- 13.1.Boltzmann Distribution Law inside a Large Population of Equivalent Oscillators -- 13.2.Thermal properties of harmonic oscillators -- 13.3.Helmholtz Potential for Anharmonic Oscillators -- 13.4.Thermal Average of Boson Operator Functions -- 13.5.Conclusion -- Bibliography -- pt. V QUANTUM NORMAL MODES OF VIBRATION -- ch. 14 Quantum Electromagnetic Modes -- 14.1.Maxwell Equations -- 14.2.Electromagnetic Field Hamiltonian -- 14.3.Polarized Normal Modes -- 14.4.Normal Modes of a Cavity -- 14.5.Quantization of the Electromagnetic Fields -- 14.6.Some Thermal Properties of the Quantum Fields -- 14.7.Conclusion -- Bibliography -- ch. 15 Quantum Modes In Molecules And Solids -- 15.1.Molecular Normal Modes -- 15.2.Phonons and Normal Modes in Solids -- 15.3.Einstein and Debye Models of Heat Capacity -- 15.4.Conclusion -- Bibliography -- pt. VI DAMPED HARMONIC OSCILLATORS -- ch. 16 Damped Oscillators -- 16.1.Quantum Model for Damped Harmonic Oscillators -- 16.2.Second-Order Solution of Eq. (16.41) -- 16.3.Fokker-Planck Equation Corresponding to (16.114) -- 16.4.Nonperturbative Results for Density Operator -- 16.5.Langevin Equations for Ladder Operators -- 16.6.Evolution Operators of Driven Damped Oscillators -- 16.7.Conclusion -- Bibliography -- pt. VII VIBRATIONAL SPECTROSCOPY -- ch. 17 Applications To Oscillator Spectroscopy -- 17.1.IR Selection Rules for Molecular Oscillators -- 17.2.IR Spectra within the Linear Response Theory -- 17.3.IR Spectra of Weak H-Bonded Species -- 17.4.SD of Damped Weak H-Bonded Species -- 17.5.Approximation for Quantum Damping -- 17.6.Damped Fermi Resonances -- 17.7.H-Bonded IR Line Shapes Involving Fermi Resonance -- 17.8.Line Shapes of H-Bonded Cyclic Dimers -- Bibliography -- ch. 18 Appendix -- 18.1.An Important Commutator -- 18.2.An Important Basic Canonical Transformation -- 18.3.Canonical Transformation on a Function of Operators -- 18.4.Glauber-Weyl Theorem -- 18.5.Commutators of Functions of the P and Q operators -- 18.6.Distribution Functions and Fourier Transforms -- 18.7.Lagrange Multipliers Method -- 18.8.Triple Vector Product -- 18.9.Point Groups -- 18.10.Scientific Authors Appearing in the Book.".
2011008577 title "Quantum oscillators / Olivier Henri-Rousseau and Paul Blaise.".
2011008577 type "text".