Mathematical Foundations of Quantum Mechanics - Brossura

Mackey, George Whitelaw

Brossura

ISBN 10: 0486435172 ISBN 13: 9780486435176

Casa editrice: Dover Pubns, 2004

Riassunto

Designed for students familiar with abstract mathematical concepts but possessing little knowledge of physics, this text focuses on generality and careful formulation rather than problem-solving. Its author, a member of the distinguished National Academy of Science, based this graduate-level text on the course he taught at Harvard University.
Opening chapters on classical mechanics examine the laws of particle mechanics; generalized coordinates and differentiable manifolds; oscillations, waves, and Hilbert space; and statistical mechanics. A survey of quantum mechanics covers the old quantum theory; the quantum-mechanical substitute for phase space; quantum dynamics and the Schrödinger equation; the canonical "quantization" of a classical system; some elementary examples and original discoveries by Schrödinger and Heisenberg; generalized coordinates; linear systems and the quantization of the electromagnetic field; and quantum-statistical mechanics.
The final section on group theory and quantum mechanics of the atom explores basic notions in the theory of group representations; perturbations and the group theoretical classification of eigenvalues; spherical symmetry and spin; and the n-electron atom and the Pauli exclusion principle.

Su questo libro

Product Description:

Designed for students familiar with abstract mathematics but not physics, this graduate-level text was written by a member of the National Academy of Science. It introduces fundamentals of classical mechanics; surveys basics of quantum mechanics; and concludes with a look at group theory and quantum mechanics of the atom. 1963 edition.

Contenuti:

1. Classical Mechanics. 2. Quantum Mechanics. 3. Group Theory and the Quantum Mechanics of the Atom. Appendix.

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2004
• ISBN 10: 0486435172
• ISBN 13: 9780486435176
• Rilegatura: Copertina flessibile
• Numero di pagine: 137