Mackey G The Mathematical Foundations of Quantum Mechanics 1963

Mackey G The Mathematical Foundations of Quantum Mechanics 1963

General:

Name: Mackey G The Mathematical Foundations of Quantum Mechanics 1963
Format: pdf
Size: 6.58 MB

Book:

Title: Mathematical Foundations of Quantum Mechanics
Author: George W. Mackey
Language: polski
Year: 2012
Subjects: Science & Technology, Mathematics, Physics, Theories of Science, Mathematics – Applied, Quantum Physics
Publisher: Dover Publications
ISBN: 9780486154473
Total pages: 149

Description:

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.

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