Exact Green's Function for the Finite Rectangular Potential Well in One Dimension
1985 ◽
Vol 40
(4)
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pp. 379-382
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Keyword(s):
The One
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For the one-dimensional potential well with finite height V0( V0 > 0 or V0 < 0) the exact Green's function G is calculated by solving the differential equation. The poles of G in the complex energy plane are shown to coincide with the solutions to the Schrödinger eigenvalue equation for this potential. The well-known Green's functions for the special cases of the free particle and of the particle in an infinitely high potential box are recovered.