Exploring quantum mechanics : a collection of 700+ solved problems for students, lecturers, and researchers / Victor Galitski ... [et al.].

Format:

Book

Contributor:

Galit︠s︡kiĭ, V. M. (Viktor Mikhaĭlovich)

Language:

English

Subjects (All):

Molecular electronics.

Nanoelectronics.

Quantum electronics.

Nanotechnology.

Physical Description:

1 online resource (898 p.)

Edition:

1st ed.

Place of Publication:

Oxford [England] : Oxford University Press, 2013.

Summary:

A series of seminal technological revolutions has led to a new generation of electronic devices miniaturized to such tiny scales where the strange laws of quantum physics come into play. There is no doubt that, unlike scientists and engineers of the past, technology leaders of the future will have to rely on quantum mechanics in their everyday work. This makes teaching and learning the subject of paramount importance for further progress. Mastering quantum physics is a verynon-trivial task and its deep understanding can only be achieved through working out real-life problems and examples. It i

Contents:

Cover; Contents; Symbols used in the book; Notations often used in the book; Universal constants; 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 Schrödinger equation in momentum space; The Green function and integral form of the Schrödinger equation; 2.3 The continuous spectrum

Reflection from and transmission through potential barriers2.4 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 Schrödinger 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 field7.3 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 values9.3 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

Notes:

Includes index.

ISBN:

0-19-163404-2

1-299-16052-2

0-19-163403-4

OCLC:

829460099