Nguồn ngoài
Introductory Quantum Mechanics
This book is intendedas an introductory course on non-relativistic quantum mechanics. Readers need to be reasonably familiar with Newtonian dynamics, elementary classical electromagnetism and special relativity, the physics and mathematics of waves (including the representation of waves via complex functions), basic probability theory, ordinary and partial differential equations, linear algebra, vector algebra, and Fourier series and transforms.
- Tác giả
- Richard Fitzpatrick
- Nhà xuất bản
- University of Texas at Austin
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-NC-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 122 mục
- 01: Probability Theory
- 1.01: What is Probability
- 1.02: Combining Probabilities
- 1.03: Mean Variance and Standard Deviation
- 1.04: Continuous Probability Distributions
- 1.05: Exercises
- 02: Wave-Particle Duality
- 2.01: Wavefunctions
- 2.02: Plane-Waves
- 2.03: Representation of Waves via Complex Functions
- 2.04: Classical Light-Waves
- 2.05: Photoelectric Effect
- 2.06: Quantum Theory of Light
- 2.07: Classical Interferences of Light Waves
- 2.08: Quantum Interference of Light
- 2.09: Particles
- 2.10: Wave-Packets
- 2.11: Evolution of Wave-Packets
- 2.12: Heisenbergs Uncertainty Principle
- 2.13: Schrodinger's Equation and Wavefunction Collapse
- 2.14: Exercises
- 03: Fundamentals of Quantum Mechanics
- 3.01: Schrodinger's Equation
- 3.02: Normalization of the Wavefunction
- 3.03: Expectation Values (Averages) and Variances
- 3.04: Ehrenfest's Theorem
- 3.05: Operators
- 3.06: Momentum Representation
- 3.07: Heisenberg's Uncertainty Principle
- 3.08: Eigenstates and Eigenvalues
- 3.09: Measurement
- 3.10: Continuous Eigenvalues
- 3.11: Stationary States
- 3.12: Exercises
- 04: One-Dimensional Potentials
- 4.01: Infinite Potential Well
- 4.02: Square Potential Barrier
- 4.03: WKB Approximation
- 4.04: Cold Emission
- 4.05: Alpha Decay
- 4.06: Square Potential Well
- 4.07: Simple Harmonic Oscillator
- 4.E: One-Dimensional Potentials (Exercises)
- 05: Multi-Particle Systems
- 5.01: Fundamental Concepts of Multi-Particle Systems
- 5.02: Non-interacting Particles
- 5.03: Two-Particle Systems
- 5.04: Identical Particles
- 5.E: Multi-Particle Systems (Exercises)
- 06: Three-Dimensional Quantum Mechanics
- 6.01: Fundamental Concepts
- 6.02: Particle in Box
- 6.03: Degenerate Electron Gases
- 6.04: White Dwarf Stars
- 6.05: Exercises
- 07: Orbital Angular Momentum
- 7.01: Angular Momenum Operators
- 7.02: Representation of Angular Momentum
- 7.03: Eigenstates of Angular Momentum
- 7.04: Eigenvalues of Lz
- 7.05: Eigenvalues of L
- 7.06: Spherical Harmonics
- 7.E: Orbital Angular Momentum (Exercises)
- 08: Central Potentials
- 8.01: Derivation of Radial Equation
- 8.02: Infinite Spherical Potential Well
- 8.03: Hydrogen Atom
- 8.04: Rydberg Formula
- 8.E: Central Potentials (Exercises)
- 09: Spin Angular Momentum
- 9.01: Spin Operators
- 9.02: Spin Space
- 9.03: Eigenstates of Sz and S
- 9.04: Pauli Representation
- 9.05: Spin Precession
- 9.E: Spin Angular Momentum (Exercises)
- 10: Addition of Angular Momentum
- 10.01: General Principles of Angular Momentum
- 10.02: Angular Momentum in Hydrogen Atom
- 10.03: Two Spin One-Half Particles
- 10.E: Addition of Angular Momentum (Exercises)
- 11: Time-Independent Perturbation Theory
- 11.01: Improved Notation
- 11.02: Two-State System
- 11.03: Non-Degenerate Perturbation Theory
- 11.04: Quadratic Stark Effect
- 11.05: Degenerate Perturbation Theory
- 11.06: Linear Stark Effect
- 11.07: Fine Structure of Hydrogen
- 11.08: Zeeman Effect
- 11.09: Hyperfine Structure
- 11.10: Exercises
- 12: Time-Dependent Perturbation Theory
- 12.01: Preliminary Analysis
- 12.02: Two-State System
- 12.03: Spin Magnetic Resonance
- 12.04: Perturbation Expansion
- 12.05: Harmonic Perturbation
- 12.06: Electromagnetic Radiation
- 12.07: Electric Dipole Approximation
- 12.08: Spontaneous Emission
- 12.09: Radiation from Harmonic Oscillator
- 12.10: Selection Rules (Hydrogen Atoms)
- 12.11: 2P1S Transitions in Hydrogen
- 12.12: Intensity Rules
- 12.13: Forbidden Transitions
- 12.E: Time-Dependent Perturbation Theory (Exercises)
- 13: Variational Methods
- 13.01: Variational Principle
- 13.02: Helium Atom
- 13.03: Hydrogen Molecule Ion
- 13.04: Exercises
- 14: Scattering Theory
- 14.01: Fundamentals of Scattering Theory
- 14.02: Born Approximation
- 14.03: Partial Waves
- 14.04: Optical Theorem
- 14.05: Determination of Phase-Shifts
- 14.06: Hard-Sphere Scattering
- 14.07: Low-Energy Scattering
- 14.08: Resonances
- 14.09: Exercises