Phase-modulus relations in cyclic wave functions

被引：18

作者：

Englman, R ^{[1
]}

Yahalom, A

Baer, M

机构：

[1] Soreq NRC, Dept Appl Math & Phys, IL-81800 Yavne, Israel

[2] Tel Aviv Univ, Fac Engn, Ramat Aviv, Israel

来源：

PHYSICS LETTERS A | 1999年 / 251卷 / 04期

关键词：

D O I：

10.1016/S0375-9601(98)00897-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive reciprocal integral relations between phases and amplitude moduli for a class of wave functions that are cyclically varying in time. The relations imply that changes of a certain kind (e.g. not arising from the dynamic phase) obligate changes in the other. Numerical results indicate the approximate validity of the relationships for arbitrarily (non-cyclically) varying states in the adiabatic (slowly changing) limit. (C) 1999 Elsevier Science B.V.

引用

页码：223 / 228

页数：6

共 20 条

[1] Quantum measurement backreaction and induced topological phases [J].

Aharonov, Y ;

Kaufherr, T ;

Popescu, S ;

Reznik, B .

PHYSICAL REVIEW LETTERS, 1998, 80 (10) :2023-2026

[2] PHASE-CHANGE DURING A CYCLIC QUANTUM EVOLUTION [J].

AHARONOV, Y ;

ANANDAN, J .

PHYSICAL REVIEW LETTERS, 1987, 58 (16) :1593-1596

[3]

BAER M, IN PRESS J CHEM PHYS

[4] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[5] GEOMETRIC AMPLITUDE FACTORS IN ADIABATIC QUANTUM TRANSITIONS [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1990, 430 (1879) :405-411

[6] MANIFESTATION OF BERRY TOPOLOGICAL PHASE IN NEUTRON SPIN ROTATION [J].

BITTER, T ;

DUBBERS, D .

PHYSICAL REVIEW LETTERS, 1987, 59 (03) :251-254

[7]

CARSLAW HS, 1930, THEORY FOURIER SERIE

[8] ANALYSIS OF BERRY PHASE BY THE EVOLUTION OPERATOR METHOD [J].

CHENG, CM ;

FUNG, PCW .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (17) :3493-3501

[9]

de Polavieja GG, 1998, PHYS REV LETT, V81, P1, DOI 10.1103/PhysRevLett.81.1

[10]

Englman R., UNPUB

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