The third exactly solvable hypergeometric quantum-mechanical potential; EPL (Europhysics Letters); Vol. 115, № 2
| Parent link: | EPL (Europhysics Letters): Scientific Journal.— , 1986- Vol. 115, № 2.— 2016.— [20002, 5 р.] |
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| Autor Principal: | |
| Autor Corporativo: | |
| 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. |
| Idioma: | inglés |
| Publicado: |
2016
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| Subjects: | |
| Acceso en liña: | http://dx.doi.org/10.1209/0295-5075/115/20002 |
| Formato: | Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=653894 |
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| 200 | 1 | |a The third exactly solvable hypergeometric quantum-mechanical potential |f A. Ishkhanyan | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 37 tit.] | ||
| 330 | |a 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. | ||
| 461 | |t EPL (Europhysics Letters) |o Scientific Journal |d 1986- | ||
| 463 | |t Vol. 115, № 2 |v [20002, 5 р.] |d 2016 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a гипергеометрические системы | |
| 610 | 1 | |a уравнение Шредингера | |
| 610 | 1 | |a фундаментальные решения | |
| 610 | 1 | |a функции Гаусса | |
| 610 | 1 | |a коэффициент | |
| 700 | 1 | |a Ishkhanyan |b A. |c physicist |c Associate Scientist of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1960- |g Artur |3 (RuTPU)RU\TPU\pers\36243 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Физико-технический институт (ФТИ) |b Кафедра общей физики (ОФ) |3 (RuTPU)RU\TPU\col\18734 |
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