Likharev, K. K.

Quantum mechanics : lecture notes / Konstantin K. Likharev. - 1 online resource (various pagings) : illustrations (some color). - [IOP release 6] IOP expanding physics, 2053-2563 Essential advanced physics ; volume 5 Essential advanced physics. Part QM . - IOP (Series). Release 6. IOP expanding physics. Essential advanced physics ; v. 5. Essential advanced physics. Part QM. .

"Version: 20190501"--Title page verso.

Includes bibliographical references.

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. Dimension 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 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. 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 uncertaint 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-symmetri 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- 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 appr 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 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 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. Select

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 supp




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Konstantin K Likharev received his PhD from the Lomonosov Moscow State University, USSR in 1969, and a habilitation degree of Doctor of Sciences from USSR's High Attestation Committee in 1979. From 1969 to 1990 Dr Likharev was a Staff Scientist

9780750314107 9780750314121

10.1088/2053-2563/aaf3a3 doi


Quantum theory--Textbooks.
Quantum physics (quantum mechanics & quantum field theory).
SCIENCE / Physics / Quantum Theory.

QC174.12 / .L557 2019eb

530.12