Published February 2021 | Version v1
Journal article

A derivation of Born's rule from symmetry

  • 1. Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, Frankfurt am Main, D-60438 (Germany)

Description

Highlights: • A very simple proof for the rule by which we calculate probabilities in quantum mechanics. We here put forward a simple argument for Born's rule based on the requirement that transition probabilities in quantum mechanics should not be a function of the number of degrees of freedom in the system, or the dimension of the Hilbert-space, respectively. The argument presented here can be interpreted as deriving Born's rule from a symmetry requirement.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.aop.2020.168394

Additional details

Identifiers

DOI
10.1016/j.aop.2020.168394;
PII
S0003491620303286;

Publishing Information

Journal Title
Annals of Physics (New York)
Journal Volume
425
Journal Page Range
vp.
ISSN
0003-4916
CODEN
APNYA6

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53101518
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DEGREES OF FREEDOM; HILBERT SPACE; QUANTUM MECHANICS; SYMMETRY
Descriptors DEC
BANACH SPACE; MATHEMATICAL SPACE; MECHANICS; SPACE

Optional Information

Copyright
Copyright (c) 2021 Elsevier Inc. All rights reserved.