The third exactly solvable hypergeometric quantum-mechanical potential
| Parent link: | EPL (Europhysics Letters): Scientific Journal.— , 1986- Vol. 115, № 2.— 2016.— [20002, 5 р.] |
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| Summary: | Title screen We introduce the third independent exactly solvable hypergeometric potential, after the Eckart and the P¨oschl-Teller potentials, which is proportional to an energy-independent parameter and has a shape that is independent of this parameter. The general solution of the Schr¨odinger equation for this potential is written through fundamental solutions each of which presents an irreducible combination of two Gauss hypergeometric functions. The potential is an asymmetric step-barrier with variable height and steepness. Discussing the transmission above such a barrier, we derive a compact formula for the reflection coefficient. |
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2016
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| Online Access: | http://dx.doi.org/10.1209/0295-5075/115/20002 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653894 |