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Quantum Mechanics$
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P.J.E. Peebles

Print publication date: 2019

Print ISBN-13: 9780691209821

Published to Princeton Scholarship Online: May 2021

DOI: 10.23943/princeton/9780691209821.001.0001

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Wave Mechanics

Wave Mechanics

Chapter:
(p.91) Chapter 2 Wave Mechanics
Source:
Quantum Mechanics
Author(s):

P.J.E. Peebles

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691209821.003.0002

This chapter develops the wave mechanics formalism. The emphasis here is on symmetries and conservation laws: parity, linear and angular momentum, and the electromagnetic interaction. The only specific physical application is the completion of the study of an isolated hydrogen atom, with some discussion of the motion of a particle in a magnetic field. The chapter also outlines the general assumptions of quantum wave mechanics, which may be summarized as follows: the state of a physical system is represented by a wave function and each measurable attribute of the system is represented by a linear self-adjoint operator in the space of functions. To apply these general assumptions to a given physical system, one must give a specific prescription for the observables and their algebra, and one must adopt a definite form for the Hamiltonians as a function of the observables.

Keywords:   wave mechanics formalism, parity, linear momentum, angular momentum, electromagnetic interaction, quantum wave mechanics, wave function, physical system

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