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Indian Journal of Pure & Applied Physics (IJPAP) >
IJPAP Vol.46 [2008] >
IJPAP Vol.46(05) [May 2008] >
| Title: | Rigorous treatment of scattering by quantum zero-range interactions |
| Authors: | Dubey, Ritesh Kumar
Menon, V J
Tripathi, D N |
| Keywords: | Contact potential
Scattering
Distributions
Schrödinger
Reflection
Transmission
Quantum zero |
| Issue Date: | May-2008 |
| Publisher: | CSIR |
| Abstract: | A new rigorous treatment of solving the Schrödinger scattering equation for a general contact potential U(x) has been developed. It is proved that if U(x) is regarded as a distribution characterized by a tiny length scale b then the wave function and its derivative become continuous across the apparent singular point x = 0. Hence, the reflection and transmission coefficients can be constructed for many cases namely usual δ(x), controversial δ'(x) and entirely new quasi δ'(x) interactions. |
| Page(s): | 295-305 |
| ISSN: | 0019-5596 |
| Source: | IJPAP Vol.46(05) [May 2008]
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