
Nguồn ngoài
Essential Graduate Physics - Quantum Mechanics
- Tác giả
- onstantin K. Likharev
- Nhà xuất bản
- Stony Brook University
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-NC-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 87 mục
- 01: Introduction
- 1.01: Experimental motivations
- 1.02: Wave Mechanics Postulates
- 1.03: Postulates Discussion
- 1.04: Continuity Equation
- 1.05: Eigenstates and Eigenvalues
- 1.06: Time Evolution
- 1.07: Space Dependence
- 1.08: Dimensionality Reduction
- 1.09: Exercise Problems
- 02: 1D Wave Mechanics
- 2.01: Basic Relations
- 2.02: Free Particle- Wave Packets
- 2.03: Particle Reflection and Tunneling
- 2.04: Exercise Problems
- 2.05: Motion in Soft Potentials
- 2.06: Resonant Tunneling and Metastable States
- 2.07: 2.6. Localized State Coupling and Quantum Oscillations
- 2.08: Periodic Systems- Energy Bands and Gaps
- 2.09: Periodic Systems- Particle Dynamics
- 2.10: Harmonic Oscillator- Brute Force Approach
- 03: Higher Dimensionality Effects
- 3.01: Quantum Interference and the AB Effect
- 3.02: Landau Levels and the Quantum Hall Effect
- 3.03: Scattering and Diffraction
- 3.04: Energy Bands in Higher Dimensions
- 3.05: Axially-symmetric Systems
- 3.06: Spherically-symmetric Systems- Brute Force Approach
- 3.07: Atoms
- 3.08: Spherically-symmetric Scatterers
- 3.09: Exercise Problems
- 04: Bra-ket Formalism
- 4.01: Motivation
- 4.02: States State Vectors and Linear Operators
- 4.03: State Basis and Matrix Representation
- 4.04: Change of Basis and Matrix Diagonalization
- 4.05: Observables- Expectation Values and Uncertainties
- 4.06: Quantum Dynamics- Three Pictures
- 4.07: Coordinate and Momentum Representations
- 4.08: Exercise Problems
- 05: Some Exactly Solvable Problems
- 5.01: Two-level Systems
- 5.02: The Ehrenfest Theorem
- 5.03: The Feynman Path Integral
- 5.04: Revisiting Harmonic Oscillator
- 5.05: Glauber States and Squeezed States
- 5.06: Revisiting Spherically-symmetric Problems
- 5.07: Spin and Its Addition to Orbital Angular Momentum
- 5.08: Exercise Problems
- 06: Perturbative Approaches
- 6.01: Time-independent Perturbations
- 6.02: The linear Stark Effect
- 6.03: Fine Structure of atomic Levels
- 6.04: The Zeeman Effect
- 6.05: Time-dependent Perturbations
- 6.06: Quantum-mechanical Golden Rule
- 6.07: Golden Rule for Step-like Perturbations
- 6.08: Exercise Problems
- 07: Open Quantum Systems
- 7.01: Open Systems and the Density Matrix
- 7.02: Coordinate Representation and the Wigner Function
- 7.03: Open System Dynamics- Dephasing
- 7.04: Fluctuation-dissipation Theorem
- 7.05: The Heisenberg-Langevin Approach
- 7.06: Density Matrix Approach
- 7.07: Exercise Problems
- 08: Multiparticle Systems
- 8.01: Distinguishable and Indistinguishable Particles
- 8.02: Singlets Triplets and the Exchange Interaction
- 8.03: Multiparticle Systems
- 8.04: Perturbative Approaches
- 8.05: Quantum Computation and Cryptography
- 8.06: Exercise Problems
- 09: Elements of Relativistic Quantum Mechanics
- 9.01: Electromagnetic Field Quantization
- 9.02: Photon Absorption and Counting
- 9.03: Photon Emission- Spontaneous and Stimulated
- 9.04: Cavity QED
- 9.05: The Klien-Gordon and Relativistic Schrodinger Equations
- 9.06: Diracs Theory
- 9.07: Low Energy Limit
- 9.08: Exercise Problems
- 10: Making Sense of Quantum Mechanics
- 10.01: Quantum measurements
- 10.02: QND Measurements
- 10.03: Hidden Variables the Bell Theorem and Local Reality
- 10.04: Interpretations of Quantum Mechanics