Manufacturing time operators: Covariance, selection criteria, and examples

被引：22

作者：

Hegerfeldt, G. C. ^{[1
]}

Muga, J. G. ^{[2
]}

Munoz, J. ^{[2
]}

机构：

[1] Univ Gottingen, Inst Theoret Phys, DE-37077 Gottingen, Germany

[2] Univ Basque Country, Dept Quim Fis, E-48080 Bilbao, Spain

来源：

PHYSICAL REVIEW A | 2010年 / 82卷 / 01期

关键词：

QUANTUM; ARRIVAL;

D O I：

10.1103/PhysRevA.82.012113

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We provide the most general forms of covariant and normalized time operators and their probability densities, with applications to quantum clocks, the time of arrival, and Lyapunov quantum operators. Examples are discussed of the profusion of possible operators and their physical meaning. Criteria to define unique, optimal operators for specific cases are given.

引用

页数：9

共 27 条

[11]

HEGERFELDT GC, UNPUB, P40502

[12]

Holevo A. S., 1982, Probabilistic and statistical aspect of quantum theory

[13]

Kijowski J., 1974, Reports on Mathematical Physics, V6, P361, DOI 10.1016/S0034-4877(74)80004-2

[14] Time of arrival in the presence of interactions -: art. no. 062101 [J].

León, J ;

Julve, J ;

Pitanga, P ;

de Urríes, FJ .

PHYSICAL REVIEW A, 2000, 61 (06) :15

[15] Arrival time in quantum mechanics [J].

Muga, JG ;

Leavens, CR .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 338 (04) :353-438

[16]

Muga JG, 2009, LECT NOTES PHYS, V789, P1, DOI 10.1007/978-3-642-03174-8

[17]

Muga JG, 2008, LECT NOTES PHYS, V734, P1

[18] Low-velocity limits of cold-atom clocks [J].

Munoz, J. ;

Lizuain, I. ;

Muga, J. G. .

PHYSICAL REVIEW A, 2009, 80 (02)

[19]

Muñoz J, 2009, LECT NOTES PHYS, V789, P97, DOI 10.1007/978-3-642-03174-8_5

[20]

Ruschhaupt A, 2009, LECT NOTES PHYS, V789, P65, DOI 10.1007/978-3-642-03174-8_4

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