Matrix elements for sum of power-law potentials in quantum mechanic using generalized hypergeometric functions
In this paper we derive close form for the matrix elements for $hat H=-Delta +V$, where $V$ is a pure power-law potential. We use trial functions of the form $$ psi _n(r)= sqrt{{frac{2eta ^{gamma/2}(gamma )_n} {n!Gamma(gamma )}}} r^{gamma - 1/2} e^{-frac{sqrt{eta }}{2}r^q} _pF_1 ( -n,a_2,ld...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/64/abstr.html |