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Unified theory of annihilation-creation operators for solvable ("discrete") quantum mechanics
en
Odake Satoru
Sasaki Ryu
AMER INST PHYSICS
JOURNAL OF MATHEMATICAL PHYSICS. 47(10):102102 (2006)
JOURNAL OF MATHEMATICAL PHYSICS
47
10
2006-10
The annihilation-creation operators a((+/-)) are defined as the positive/negative frequency parts of the exact Heisenberg operator solution for the "sinusoidal coordinate". Thus a((+/-)) are hermitian conjugate to each other and the relative weights of various terms in them are solely determined by the energy spectrum. This unified method applies to most of the solvable quantum mechanics of single degree of freedom including those belonging to the "discrete" quantum mechanics.
Article
0022-2488
AA00701758
http://dx.doi.org/10.1063/1.2349485|10.1063/1.2349485
© 2006 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 47(10):102102 (2006) and may be found at http://dx.doi.org/10.1063/1.2349485