On the nature of continuous physical quantities in classical and quantum mechanics

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Standard

On the nature of continuous physical quantities in classical and quantum mechanics. / Halvorson, Hans.

I: Journal of Philosophical Logic, Bind 30, Nr. 1, 2001, s. 27-50.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Halvorson, H 2001, 'On the nature of continuous physical quantities in classical and quantum mechanics', Journal of Philosophical Logic, bind 30, nr. 1, s. 27-50. https://doi.org/10.1023/A:1017574203443

APA

Halvorson, H. (2001). On the nature of continuous physical quantities in classical and quantum mechanics. Journal of Philosophical Logic, 30(1), 27-50. https://doi.org/10.1023/A:1017574203443

Vancouver

Halvorson H. On the nature of continuous physical quantities in classical and quantum mechanics. Journal of Philosophical Logic. 2001;30(1):27-50. https://doi.org/10.1023/A:1017574203443

Author

Halvorson, Hans. / On the nature of continuous physical quantities in classical and quantum mechanics. I: Journal of Philosophical Logic. 2001 ; Bind 30, Nr. 1. s. 27-50.

Bibtex

@article{3b101ec4407a4259a3dfdbd8c562d55a,
title = "On the nature of continuous physical quantities in classical and quantum mechanics",
abstract = "Within the traditional Hubert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical mechanics. On the contrary, I shall show that the same subtle issues arise with respect to continuous quantities in classical and quantum mechanics; and that it is, after all, possible to describe a particle as possessing a sharp position value without altering the standard formalism of quantum mechanics. KEY WORDS: Boolean algebra, probability measure, unsharp quantum logic",
author = "Hans Halvorson",
year = "2001",
doi = "10.1023/A:1017574203443",
language = "English",
volume = "30",
pages = "27--50",
journal = "Journal of Philosophical Logic",
issn = "0022-3611",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - On the nature of continuous physical quantities in classical and quantum mechanics

AU - Halvorson, Hans

PY - 2001

Y1 - 2001

N2 - Within the traditional Hubert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical mechanics. On the contrary, I shall show that the same subtle issues arise with respect to continuous quantities in classical and quantum mechanics; and that it is, after all, possible to describe a particle as possessing a sharp position value without altering the standard formalism of quantum mechanics. KEY WORDS: Boolean algebra, probability measure, unsharp quantum logic

AB - Within the traditional Hubert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical mechanics. On the contrary, I shall show that the same subtle issues arise with respect to continuous quantities in classical and quantum mechanics; and that it is, after all, possible to describe a particle as possessing a sharp position value without altering the standard formalism of quantum mechanics. KEY WORDS: Boolean algebra, probability measure, unsharp quantum logic

U2 - 10.1023/A:1017574203443

DO - 10.1023/A:1017574203443

M3 - Journal article

AN - SCOPUS:0040484450

VL - 30

SP - 27

EP - 50

JO - Journal of Philosophical Logic

JF - Journal of Philosophical Logic

SN - 0022-3611

IS - 1

ER -

ID: 289118864