Optical‐model and coupled‐channels calculations in quantum‐mechanical scattering
作者:
Samuel D. Doyle,
John S. Eck,
W. J. Thompson,
O. L. Weaver,
期刊:
American Journal of Physics
(AIP Available online 1975)
卷期:
Volume 43,
issue 8
页码: 677-682
ISSN:0002-9505
年代: 1975
DOI:10.1119/1.9749
出版商: American Association of Physics Teachers
关键词: QUANTUM MECHANICS;SCATTERING;SCHROEDINGER EQUATION;HAMILTONIAN FUNCTION;WAVE FUNCTIONS;SQUARE=(HYPHEN)=WELL POTENTIAL;OPTICAL MODELS;COUPLED=(HYPHEN)=CHANNEL THEORY;RESONANCE SCATTERING
数据来源: AIP
摘要:
Non‐Hermitian Hamiltonians are used in many research areas as approximate models of physical systems, for example, the optical‐model potential in nuclear physics. Such Hamiltonians are rarely treated in introductory quantum mechanics. Here the quantum scattering problem of a two‐state system is treated exactly for the case of one‐dimensional square‐well potentials. By introducing an appropriate optical‐model potential, an approximate solution for one of the two states is obtained. The exact and approximate solutions are compared for a realistic example.
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