# Exploring quantum mechanics [electronic resource] : a collection of 700+ solved problems for students, lecturers and researchers / Victor Galitski, Boris Karnakov, Vladimir Kogan ; translated by Victor Galitski, Jr.

- Author:
- Galit︠s︡kiĭ, V. M. (Viktor Mikhaĭlovich)
- Published:
- Oxford : Oxford University Press, 2013.
- Physical Description:
- 1 online resource (xiii, 881 pages) : illustrations
- Additional Creators:
- Karnakov, B. M. (Boris Mikhaĭlovich) and Kogan, V. I. (Vladimir Ilʹich)

##### Access Online

- Oxford scholarship online: ezaccess.libraries.psu.edu

- Contents:
- Machine generated contents note: 1.Operators in quantum mechanics -- 1.1.Basic concepts of the theory of linear operators -- 1.2.Eigenfunctions, eigenvalues, mean values -- 1.3.The projection operators -- 1.4.Quantum-mechanical representations of operators and wave-functions; Unitary operators -- 2.One-dimensional motion -- 2.1.Stationary states in discrete spectrum -- 2.2.The Schrodinger equation in momentum space; The Green function and integral form of the Schrodinger equation -- 2.3.The continuous spectrum; Reflection from and transmission through potential barriers -- 2.4.Systems with several degrees of freedom; Particle in a periodic potential -- 3.Orbital angular momentum -- 3.1.General properties of angular momentum -- 3.2.Angular momentum, l = 1 -- 3.3.Addition of angular momenta -- 3.4.Tensor formalism in angular momentum theory -- 4.Motion in a spherically-symmetric potential -- 4.1.Discrete spectrum states in central fields -- 4.2.Low-energy states -- 4.3.Symmetries of the Coulomb problem -- 4.4.Systems with axial symmetry -- 5.Spin -- 5.1.Spin s = 1/2 -- 5.2.Spin-orbital states with spin s = 1/2; Higher spins -- 5.3.Spin density matrix; Angular distributions in decays -- 5.4.Bound states of spin-orbit-coupled particles -- 5.5.Coherent-state spin path-integral -- 6.Time-dependent quantum mechanics -- 6.1.The Schrodinger representation; The motion of wave packets -- 6.2.Time-dependent observables; Constants of motion -- 6.3.Time-dependent unitary transformations; The Heisenberg picture of motion -- 6.4.The time-dependent Green function -- 6.5.Quasistationary and quasi-energy states; Berry phase -- 7.Motion in a magnetic field -- 7.1.Stationary states in a magnetic field -- 7.2.Time-dependent quantum mechanics in a magnetic field -- 7.3.Magnetic field of the orbital currents and spin magnetic moment -- 8.Perturbation theory; Variational method; Sudden and adiabatic theory -- 8.1.Stationary perturbation theory (discrete spectrum) -- 8.2.Variational method -- 8.3.Stationary perturbation theory (continuous spectrum) -- 8.4.Non-stationary perturbation theory; Transitions in continuous spectrum -- 8.5.Sudden perturbations -- 8.6.Adiabatic approximation -- 9.Quasi-classical approximation; 1/N-expansion in quantum mechanics -- 9.1.Quasi-classical energy quantization -- 9.2.Quasi-classical wavefunctions, probabilities, and mean values -- 9.3.Penetration through potential barriers -- 9.4.1/N-expansion in quantum mechanics -- 10.Identical particles; Second quantization -- 10.1.Quantum statistics; Symmetry of wavefunctions -- 10.2.Elements of the second quantization formalism (the occupation-number representation) -- 10.3.The simplest systems with a large number of particles (N >> 1) -- 11.Atoms and molecules -- 11.1.Stationary states of one-electron and two-electron atoms -- 11.2.Many-electron atoms; Statistical atomic model -- 11.3.Principles of two-atom-molecule theory -- 11.4.Atoms and molecules in external fields; Interaction of atomic systems -- 11.5.Non-stationary phenomena in atomic systems -- 12.Atomic nucleus -- 12.1.Nuclear forces---the fundamentals; The deuteron -- 12.2.The shell model -- 12.3.Isotopic invariance -- 13.Particle collisions -- 13.1.Born approximation -- 13.2.Scattering theory: partial-wave analysis -- 13.3.Low-energy scattering; Resonant scattering -- 13.4.Scattering of fast particles; Eikonal approximation -- 13.5.Scattering of particles with spin -- 13.6.Analytic properties of the scattering amplitude -- 13.7.Scattering of composite quantum particles; Inelastic collisions -- 14.Quantum radiation theory -- 14.1.Photon emission -- 14.2.Photon scattering; Photon emission in collisions -- 15.Relativistic wave equations -- 15.1.The Klein-Gordon equation -- 15.2.The Dirac equation -- 16.Appendix -- 16.1.App.1. Integrals and integral relations -- 16.2.App.2. Cylinder functions.
- Summary:
- A resource on quantum physics that contains original problems with solutions that can be used by teachers and students of quantum mechanics at graduate and undergraduate level. Numerous tricks-of-the-trade in solving quantum physics problems are included, which can also be used by professional researchers in all fields of modern physics.
- Subject(s):
- ISBN:
- 9780191774973 (ebook)
- Note:
- Includes index.

Translated from the Russian.

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