dor_id: 4115332

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100.1.#.a: Martínez, Sergio

524.#.#.a: Martínez, Sergio (1988). Mediciones ideales en la mecánica cuántica. Crítica. Revista Hispanoamericana de Filosofía; Vol. 20 Núm. 60, 1988; 13-30. Recuperado de https://repositorio.unam.mx/contenidos/4115332

245.1.0.a: Mediciones ideales en la mecánica cuántica

502.#.#.c: Universidad Nacional Autónoma de México

561.1.#.a: Instituto de Investigaciones Filosóficas, UNAM

264.#.0.c: 1988

264.#.1.c: 2018-12-10

506.1.#.a: La titularidad de los derechos patrimoniales de esta obra pertenece a las instituciones editoras. Su uso se rige por una licencia Creative Commons BY-NC-ND 4.0 Internacional, https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.es, para un uso diferente consultar al responsable jurídico del repositorio por medio del correo electrónico alberto@filosoficas.unam.mx

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001.#.#.#: 034.oai:ojs2.132.248.184.97:article/680

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520.3.#.a: As a series of investigations have shown, the interpretation of the change upon measurement in quantum mechanics described by the "projection pastulate", as a purely statistical formula, is clear. This formula, here denoted by VNL, is a version of the conditional expectation in Hilbert spaces, and this mathematical result can be given a salid physical interpretation in terlDl of quantum statistics. The problem of interpretation arises when the formula comes in for interpretation, as a description of what happens to (states of) individual systems in measurement. Usual interpretations see the formula VNL as a description of a class of measurement transformations which are "minimally disturbing". However, a series of arguments show that such an interpretation is seriouslf flawed. (See Teller (1983), Martínez (1988) and references therein.] In Martínez (1987) I have derived the formula VNL from simple physical assumptions in a lattice theoretical framework. The formula so derived describes individual state transformations of a certain type. The states involved are states that describe the properties a system has relative to magnitudes (measuring situations). In this paper I propase that the change of state on measurement deseribed by the formula VNL, as derived in (1987), can be understood as a change on individual states along the lines of Von Neumann"s initial proposal for interpreting non-maximal measurements. I discuss the objections raised by Lüders and others to Von Neumann"s idea and show that they do not apply to the interpretation proposed here. This proposal has the advantage, among others, that it does not need to reify a controversial class of "minimally disturbing measurement transformations".

773.1.#.t: Crítica. Revista Hispanoamericana de Filosofía; Vol. 20 Núm. 60 (1988); 13-30

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022.#.#.a: ISSN electrónico: 1870-4905; ISSN impreso: 0011-1503

310.#.#.a: Cuatrimestral

300.#.#.a: Páginas: 13-30

264.#.1.b: Instituto de Investigaciones Filosóficas, UNAM

doi: https://doi.org/10.22201/iifs.18704905e.1988.680

handle: 0e56bb0a9cf2aa39

harvesting_date: 2023-08-23 17:00:00.0

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245.1.0.b: Mediciones ideales en la mecánica cuántica

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Artículo

Mediciones ideales en la mecánica cuántica

Martínez, Sergio

Instituto de Investigaciones Filosóficas, UNAM, publicado en Crítica. Revista Hispanoamericana de Filosofía, y cosechado de Revistas UNAM

Licencia de uso

Procedencia del contenido

Cita

Martínez, Sergio (1988). Mediciones ideales en la mecánica cuántica. Crítica. Revista Hispanoamericana de Filosofía; Vol. 20 Núm. 60, 1988; 13-30. Recuperado de https://repositorio.unam.mx/contenidos/4115332

Descripción del recurso

Autor(es)
Martínez, Sergio
Tipo
Artículo de Investigación
Área del conocimiento
Artes y Humanidades
Título
Mediciones ideales en la mecánica cuántica
Fecha
2018-12-10
Resumen
As a series of investigations have shown, the interpretation of the change upon measurement in quantum mechanics described by the "projection pastulate", as a purely statistical formula, is clear. This formula, here denoted by VNL, is a version of the conditional expectation in Hilbert spaces, and this mathematical result can be given a salid physical interpretation in terlDl of quantum statistics. The problem of interpretation arises when the formula comes in for interpretation, as a description of what happens to (states of) individual systems in measurement. Usual interpretations see the formula VNL as a description of a class of measurement transformations which are "minimally disturbing". However, a series of arguments show that such an interpretation is seriouslf flawed. (See Teller (1983), Martínez (1988) and references therein.] In Martínez (1987) I have derived the formula VNL from simple physical assumptions in a lattice theoretical framework. The formula so derived describes individual state transformations of a certain type. The states involved are states that describe the properties a system has relative to magnitudes (measuring situations). In this paper I propase that the change of state on measurement deseribed by the formula VNL, as derived in (1987), can be understood as a change on individual states along the lines of Von Neumann"s initial proposal for interpreting non-maximal measurements. I discuss the objections raised by Lüders and others to Von Neumann"s idea and show that they do not apply to the interpretation proposed here. This proposal has the advantage, among others, that it does not need to reify a controversial class of "minimally disturbing measurement transformations".
Idioma
spa
ISSN
ISSN electrónico: 1870-4905; ISSN impreso: 0011-1503

Enlaces