期刊
PHYSICS LETTERS A
卷 372, 期 19, 页码 3350-3355出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2008.01.086
关键词
generalized heisenberg algebra (GHA); square-well potential; heisenberg algebra
We discuss the role of generalized Heisenberg algebras (GHA) in obtaining an algebraic method to describe physical systems. The method consists in finding, the GHA associated to a physical system and the relations between its generators and the physical observables. We choose as an example the infinite square-well potential for which we discuss the representations of the corresponding GHA. We suggest a way of constructing a physical realization of the generators of some GHA and apply it to the square-well potential. An expression for the position operator x in terms of the generators of the algebra is given and we compute its matrix elements. (c) 2008 Elsevier B.V All rights reserved.
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