- 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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1103/physreva.39.1558
-
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- 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
- Copyright date:
- 1989
Journal article
Higher moments of phase operators and random walks with absorbing boundaries.
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