Phase-modulus relations in cyclic wave functions

R. Englman; A. Yahalom; M. Baer

doi:10.1016/S0375-9601(98)00897-4

Phase-modulus relations in cyclic wave functions

R. Englman
, A. Yahalom
, M. Baer

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	223-228
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	251
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9601(98)00897-4
State	Published - 25 Jan 1999
Externally published	Yes

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10.1016/S0375-9601(98)00897-4

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title = "Phase-modulus relations in cyclic wave functions",

abstract = "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.",

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AU - Englman, R.

AU - Yahalom, A.

AU - Baer, M.

PY - 1999/1/25

Y1 - 1999/1/25

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0043283364

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SN - 0375-9601

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EP - 228

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4

ER -

Phase-modulus relations in cyclic wave functions

Abstract

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