Nguồn ngoài

Time Dependent Quantum Mechanics and Spectroscopy

These notes are meant as a resource for chemists that study the time-dependent quantum mechanics, dynamics, and spectroscopy of molecular systems.

Physical and Theoretical Chemistry Textbook Maps Chemistry

Tác giả: Andrei Tokmakoff
Nhà xuất bản: University of Chicago
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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01: Overview of Time-Independent Quantum Mechanics
1.01: Describing a System Quantum Mechanically
1.02: Matrix Mechanics
1.03: Basic Quantum Mechanical Models
1.04: Exponential Operators
1.05: Numerically Solving the Schrodinger Equation
02: Introduction to Time-Dependent Quantum Mechanics
2.01: Time-Evolution with a Time-Independent Hamiltonian
2.02: Exponential Operators
2.03: Two-Level Systems
03: Time-Evolution Operator
3.01: Time-Evolution Operator
3.02: Integrating the Schrodinger Equation Directly
3.03: Transitions Induced by Time-Dependent Potential
3.04: Resonant Driving of a Two-Level System
3.05: Schrodinger and Heisenberg Representations
3.06: Interaction Picture
3.07: Time-Dependent Perturbation Theory
3.08: Fermis Golden Rule
04: Irreversible Relaxation
4.01: Introduction to Dissipative Dynamics
05: The Density Matrix
5.01: Introduction to the Density Matrix
5.02: Time-Evolution of the Density Matrix
5.03: The Density Matrix in the Interaction Picture
06: Adiabatic Approximation
6.01: BornOppenheimer Approximation
6.02: Nonadiabatic Effects
6.03: Diabatic and Adiabatic States
6.04: Adiabatic and Nonadiabatic Dynamics
6.05: LandauZener Transition Probability
07: Interaction of Light and Matter
7.01: Introduction to Light-Matter Interactions
7.02: Classical LightMatter Interactions
7.03: Quantum Mechanical Electric Dipole Hamiltonian
7.04: Relaxation and Line-Broadening
7.05: Absorption Cross-Sections
7.06: Appendix - Review of Free Electromagnetic Field
7.07: Appendix - Magnetic Dipole and Electric Quadrupole Transitions
08: Mixed States and the Density Matrix
8.01: Mixed States
8.02: Density Matrix for a Mixed State
09: Irreversible and Random Processes
9.01: Concepts and Definitions
9.02: Thermal Equilibrium
9.03: Fluctuations
10: Time-Correlation Functions
10.01: Definitions Properties and Examples of Correlation Functions
10.02: Correlation Function from a Discrete Trajectory
10.03: Quantum Time-Correlation Functions
10.04: Transition Rates from Correlation Functions
11: Linear Response Theory
11.01: Classical Linear Response Theory
11.02: Quantum Linear Response Functions
11.03: The Response Function and Energy Absorption
11.04: Relaxation of a Prepared State
12: Time-domain Description of Spectroscopy
12.01: A Classical Description of Spectroscopy
12.02: Time-Correlation Function Description of Absorption Lineshape
12.03: Different Types of Spectroscopy Emerge from the Dipole Operator
12.04: Ensemble Averaging and Line-Broadening
13: Coupling of Electronic and Nuclear Motion
13.01: The Displaced Harmonic Oscillator Model
13.02: Coupling to a Harmonic Bath
13.03: Semiclassical Approximation to the Dipole Correlation Function
14: Fluctuations in Spectroscopy
14.01: Fluctuations and Randomness - Some Definitions
14.02: Line-Broadening and Spectral Diffusion
14.03: Gaussian-Stochastic Model for Spectral Diffusion
14.04: The Energy Gap Hamiltonian
14.05: Correspondence of Harmonic Bath and Stochastic Equations of Motion
15: Energy and Charge Transfer
15.01: Electronic Interactions
15.02: Forster Resonance Energy Transfer (FRET)
15.03: Excitons in Molecular Aggregates
15.04: Multiple Particles and Second Quantization
15.05: Marcus Theory for Electron Transfer
16: Quantum Relaxation Processes
16.01: Vibrational Relaxation
16.02: A Density Matrix Description of Quantum Relaxation