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Higher moments of phase operators and random walks with absorbing boundaries.

Abstract:

It is shown that a mapping between the matrix elements of moments of the phase-related cos and sin operators C and S of the simple harmonic oscillator and the probabilities arising from random walks with absorbing boundaries may be established. Such a mapping may be used to calculate the expectation values of positive integer powers of the operators C and S. Using the power-series expansions for sin-1 and (sin-1)2 the variance of the operator (sin-1S), when the oscillator is in a number state...

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Publication status:
Published

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Publisher copy:
10.1103/physreva.39.1558

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Journal:
Physical review. A
Volume:
39
Issue:
3
Pages:
1558-1560
Publication date:
1989-02-05
DOI:
ISSN:
1050-2947
URN:
uuid:3df1c2c1-4361-45f7-a7e4-ca3eee86fa92
Source identifiers:
12740
Local pid:
pubs:12740
Language:
English

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