ISSN:
0020-7608
Keywords:
Computational Chemistry and Molecular Modeling
;
Atomic, Molecular and Optical Physics
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
Notes:
The Hamiltonian of an arbitrary two-body nonrelativistic system is written in closed form in terms of generators of the noncompact O(2, 1) Lie algebra. The bound-states problem in such systems is investigated with the help of the self-adjoint irreducible representations of this algebra (positive discrete series). It is shown that the initial Schrödinger equation can be reduced to a simple eigenvalue problem, in which all matrices can be determined easily from the basic properties of the O(2, 1) algebra and by applying the explicit form of the potential interaction. Based on such algebraic considerations, we obtain a number of useful relations between the expectation values of the potential and kinetic energies for the so-called prethreshold states, i.e., those bound (E 〈 0) states for which E ≈ 0. © 1995 John Wiley & Sons, Inc.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/qua.560530104
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