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Exact Heisenberg operator solutions for multiparticle quantum mechanics
en
Odake Satoru
Sasaki Ryu
AMER INST PHYSICS
JOURNAL OF MATHEMATICAL PHYSICS. 48(8):082106 (2007)
JOURNAL OF MATHEMATICAL PHYSICS
48
8
2007-08
Exact Heisenberg operator solutions for independent “sinusoidal coordinates” as many as the degree of freedom are derived for typical exactly solvable multiparticle quantum mechanical systems, the Calogero systems [J. Math. Phys.12, 419 (1971)] based on any root system. These Heisenberg operator solutions also present the explicit forms of the annihilation-creation operators for various quanta in the interacting multiparticle systems. At the same time they can be interpreted as multivariable generalization of the three term recurrence relations for multivariable orthogonal polynomials constituting the eigenfunctions.
Article
0022-2488
AA00701758
http://dx.doi.org/10.1063/1.2771544|10.1063/1.2771544
© 2007 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. 48(8):082106 (2007) and may be found at http://dx.doi.org/10.1063/1.2771544