Quantum mechanics : lecture notes /

Essential Advanced Physics is a series comprising four parts: Classical Mechanics, Classical Electrodynamics, Quantum Mechanics and Statistical Mechanics. Each part consists of two volumes, Lecture Notes and Problems with Solutions, further supplemented by an additional collection of test problems a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Likharev, K. K. (Konstantin Konstantinovich) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2019]
Colección:IOP (Series). Release 6.
IOP expanding physics.
Essential advanced physics ; v. 5.
Essential advanced physics. Part QM.
Temas:
Quantum theory > Textbooks.
Quantum physics (quantum mechanics & quantum field theory).
SCIENCE / Physics / Quantum Theory.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introduction
  • 1.1. Experimental motivations
  • 1.2. Wave mechanics postulates
  • 1.3. Postulates' discussion
  • 1.4. Continuity equation
  • 1.5. Eigenstates and eigenvalues
  • 1.6. Time evolution
  • 1.7. Spatial dependence
  • 1.8. Dimensionality reduction
  • 1.9. Problems
  • 2. 1D wave mechanics
  • 2.1. Basic relations
  • 2.2. Free particle : wave packets
  • 2.3. Particle reflection and tunneling
  • 2.4. Motion in soft potentials
  • 2.5. Resonant tunneling, and metastable states
  • 2.6. Localized state coupling, and quantum oscillations
  • 2.7. Periodic systems : energy bands and gaps
  • 2.8. Periodic systems : particle dynamics
  • 2.9. Harmonic oscillator : brute force approach
  • 2.10. Problems
  • 3. Higher dimensionality effects
  • 3.1. Quantum interference and the AB effect
  • 3.2. Landau levels and quantum Hall effect
  • 3.3. Scattering and diffraction
  • 3.4. Energy bands in higher dimensions
  • 3.5. Axially-symmetric systems
  • 3.6. Spherically-symmetric systems : brute force approach
  • 3.7. Atoms
  • 3.8. Spherically-symmetric scatterers
  • 3.9. Problems
  • 4. Bra-ket formalism
  • 4.1. Motivation
  • 4.2. States, state vectors, and linear operators
  • 4.3. State basis and matrix representation
  • 4.4. Change of basis, and matrix diagonalization
  • 4.5. Observables : expectation values and uncertainties
  • 4.6. Quantum dynamics : three pictures
  • 4.7. Coordinate and momentum representations
  • 4.8. Problems
  • 5. Some exactly solvable problems
  • 5.1. Two-level systems
  • 5.2. The Ehrenfest theorem
  • 5.3. The Feynman path integral
  • 5.4. Revisiting harmonic oscillator
  • 5.5. Glauber states and squeezed states
  • 5.6. Revisiting spherically-symmetric systems
  • 5.7. Spin and its addition to orbital angular momentum
  • 5.8. Problems
  • 6. Perturbative approaches
  • 6.1. Eigenproblems
  • 6.2. The Stark effect
  • 6.3. Fine structure of atomic levels
  • 6.4. The Zeeman effect
  • 6.5. Time-dependent perturbations
  • 6.6. Quantum-mechanical golden rule
  • 6.7. Golden rule for step-like perturbations
  • 6.8. Problems
  • 7. Open quantum systems
  • 7.1. Open systems, and the density matrix
  • 7.2. Coordinate representation, and the Wigner function
  • 7.3. Open system dynamics : dephasing
  • 7.4. Fluctuation-dissipation theorem
  • 7.5. The Heisenberg-Langevin approach
  • 7.6. Density matrix approach
  • 7.7. Problems
  • 8. Multiparticle systems
  • 8.1. Distinguishable and indistinguishable particles
  • 8.2. Singlets, triplets, and the exchange interaction
  • 8.3. Multiparticle systems
  • 8.4. Perturbative approaches
  • 8.5. Quantum computation and cryptography
  • 8.6. Problems
  • 9. Introduction to relativistic quantum mechanics
  • 9.1. Electromagnetic field quantization
  • 9.2. Photon absorption and counting
  • 9.3. Photon emission : spontaneous and stimulated
  • 9.4. Cavity QED
  • 9.5. The Klein-Gordon and relativistic Schrödinger equations
  • 9.6. Dirac's theory
  • 9.7. Low-energy limit
  • 9.8. Problems
  • 10. Making sense of quantum mechanics
  • 10.1. Quantum measurements
  • 10.2. QND measurements
  • 10.3. Hidden variables and local reality
  • 10.4. Interpretations of quantum mechanics
  • Appendices. A. Selected mathematical formulas
  • B. Selected physical constants.

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