Physics – Quantum Physics
Scientific paper
2008-11-06
Physics
Quantum Physics
6 Pages, Latex, No figures
Scientific paper
In the present paper, we work out the eigenfunctions of spinless particles bound in a one-dimensional linear finite range, attractive potential well, treating it as a time-like component of a four-vector. We show that the one-dimensional stationary Klein-Gordon equation is reduced to a standard differential equation, whose solutions, consistent with the boundary conditions, are the parabolic cylinder functions, which further reduce to the well-known confluent hypergeometric functions.
Kagali B. A.
Rao Nagalakshmi A.
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