Mathematical Foundations of Quantum Mechanics by George W. Mackey

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  • Title: Mathematical Foundations of Quantum Mechanics
  • Author: George W. Mackey
  • Category: Mathematics
  • Date: December 2013
  • Lenguage: English
  • Pages: unknown
  • ISBN: 9780486154473

 

Ebook description:

Designed for college kids conversant in summary mathematical ideas however possessing little data of physics, this textual content focuses on generality and cautious formulation relatively than problem-solving. Its writer, a member of the distinguished National Academy of Science, based mostly this graduate-level textual content on the course he taught at Harvard University. Opening chapters on classical mechanics look at the legal guidelines of particle mechanics; generalized coordinates and differentiable manifolds; oscillations, waves, and Hilbert house; and statistical mechanics. A survey of quantum mechanics covers the previous quantum idea; the quantum-mechanical substitute for part house; quantum dynamics and the Schrödinger equation; the canonical “quantization” of a classical system; some elementary examples and unique discoveries by Schrödinger and Heisenberg; generalized coordinates; linear programs and the quantization of the electromagnetic subject; and quantum-statistical mechanics. The last part on group idea and quantum mechanics of the atom explores primary notions within the idea of group representations; perturbations and the group theoretical classification of eigenvalues; spherical symmetry and spin; and the n -electron atom and the Pauli exclusion precept

 

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