Nguồn ngoài
Advanced Quantum Mechanics
- Tác giả
- Pieter Kok
- Nhà xuất bản
- University of Sheffield
- Nguồn
- LibreTexts
- Giấy phép
- CC BY-NC-SA
- Ngôn ngữ
- EN
- Danh mục
- Khoa học cơ bản
Mục lục· 87 mục
- 01: Linear Vector Spaces and Hilbert Space
- 1.01: Linear Vector Spaces
- 1.02: Operators in Hilbert Space
- 1.03: Hermitian and Unitary Operators
- 1.04: Projection Operators and Tensor Products
- 1.05: The Trace and Determinant of an Operator
- 02: The Postulates of Quantum Mechanics
- 03: Schrodinger and Heisenberg Pictures
- 04: Mixed States and the Density Operator
- 4.01: Mixed States
- 4.02: Decoherence
- 4.03: Imperfect Measurements
- 05: Composite Systems and Entanglement
- 5.01: Composite Systems
- 5.02: Entanglement
- 5.03: Quantum teleportation
- 06: Evolution of Open Quantum Systems
- 6.01: The Lindblad Equation
- 6.02: Positive and Completely Positive Maps
- 6.3: Bra Vectors and the Inner Product
- 6.4: Normalization and Orthogonality
- 6.5: Interpreting the Inner Product
- 6.5.1: Propagating Amplitudes
- 07: Orbital Angular Momentum and Spin
- 7.01: Orbital Angular Momentum
- 7.02: Spin
- 7.03: Total Angular Momentum
- 7.04: Composite Systems with Angular Momentum
- 08: Identical Particles
- 8.01: Symmetric and Anti-symmetric States
- 8.02: Creation and Annihilation Operators
- 8.3: Observables Based on Creation and Annihilation Operators
- 8.4: Bose-Einstein and Fermi-Dirac Statistics
- 09: New Page
- 9.1: Interacting Electrons in Atomic Shells
- 9.2 Spin Waves in Solids
- 9.3: An Atom in a Cavity
- 9.4: Outlook: Quantum Field Theory
- 10: Pauli Spin Matrices
- 10.1: Spin Operators
- 10.2: Expectation Values
- 10.3: Total Angular Momentum
- 11: Noncommuting Operators and Uncertainty
- 11.1: Eigenstates and Commuting Operators
- 11.2: Non-Commuting Operators
- 11.3: Quantifying Uncertainty
- 11.3.1: Mean and Variance
- 11.3.2: Uncertainty in Quantum Mechanics
- 11.4: The Heisenberg Uncertainty Principle
- 11.4.1: An Alternate Formulation
- 11.4.2: Vacuum Energy
- 12: Multiple Particle States
- 12.1: Indistinguishable Particles
- 12.2: Notating Multiple Particle States
- 12.3: The Exchange Operator
- 12.4: Fermions and Bosons
- 12.5: The Pauli Exclusion Principle
- 12.6: Entangled Particles
- 13: The Schrodinger Equation
- 13.1: Where we are so far
- 13.2: Stating the Equation
- 13.3: Free Particles and the de Broglie Wavelength
- 13.4: Quantized Energy Levels in Bound Systems
- 13.5: The Simple Harmonic Oscillator
- 13.6: The Hydrogen Atom
- 13.7: Interpretation of the Wave Function (x)
- 14: Atomic Orbitals
- 14.1: The Schrodinger Equation
- 14.2: The Orbitals
- 14.3: Visualizing Orbitals
- 14.3.1: s Orbitals
- 14.3.2: p Orbitals
- 14.3.3: d Orbitals
- 15: The Periodic Table of the Elements
- 15.1: Interacting Electrons, Energy Levels, and Filled Shells
- 15.2: Filling Up Orbitals
- 15.3: Reading a Periodic Table
- 15.3.1: Electronic Configuration
- 16: Matter
- 16.1: The Standard Model of Particle Physics
- 16.2: Nuclei and Atoms
- 16.3: Molecules
- 16.4: Solids
- 16.5: Liquids, Gasses, and Plasmas
- 16.5.1: Quantum Gasses
- 16.6: Planets, Stars, Galaxies, and Clusters
- 16.7: Dark Matter and Dark Energy