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Mathematical Foundations of Quantum MechanicsNew Edition$
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John von Neumann

Print publication date: 2018

Print ISBN-13: 9780691178561

Published to Princeton Scholarship Online: September 2018

DOI: 10.23943/princeton/9780691178561.001.0001

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The Quantum Statistics

The Quantum Statistics

Chapter:
(p.127) Chapter III The Quantum Statistics
Source:
Mathematical Foundations of Quantum Mechanics
Author(s):

John von Neumann

, Robert T. Beyer, Nicholas A. Wheeler
Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691178561.003.0004

This chapter returns to the analysis of quantum mechanical theories. In the previous chapter, how quantum mechanics makes possible the determination of all possible values of one particular physical quantity—energy—was only discussed. These values are the eigenvalues of the energy operator (i.e., the numbers of its spectrum). On the other hand, no mention was made about the values of other quantities, as well as regarding the causal or statistical relations among the values of several quantities. The statements of the theory relative to this problem are thus considered in this chapter. It takes as a basis the wave mechanical method of description since the equivalence of the two theories has already been established.

Keywords:   quantum statistics, energy, causal relations, statistical relations, wave mechanical method, uncertainty relations, radiation theory, simultaneous measurability

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