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| 001 | 650553 | ||
| 005 | 20231030040954.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\15771 | ||
| 090 | _a650553 | ||
| 100 | _a20161010a2016 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 102 | _aUS | ||
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aSchrödinger potentials solvable in terms of the confluent Heun functions _fA. Ishkhanyan |
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| 203 |
_aText _celectronic |
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| 300 | _aTitle screen | ||
| 320 | _a[References: 35 tit.] | ||
| 330 | _aWe show that if the potential is proportional to an energy-independent continuous parameter, then there exist 15 choices for the coordinate transformation that provide energy-independent potentials whose shape is independent of that parameter and for which the one-dimensional stationary Schrцdinger equation is solvable in terms of the confluent Heun functions. All these potentials are also energy-independent and are determined by seven parameters. Because the confluent Heun equation is symmetric under transposition of its regular singularities, only nine of these potentials are independent. Five of the independent potentials are different generalizations of either a hypergeometric or a confluent hypergeometric classical potential, one potential as special cases includes potentials of two hypergeometric types (the Morse confluent hypergeometric and the Eckart hypergeometric potentials), and the remaining three potentials include five-parameter conditionally integrable confluent hypergeometric potentials. Not one of the confluent Heun potentials, generally speaking, can be transformed into any other by a parameter choice. | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 | _tTheoretical and Mathematical Physics | ||
| 463 |
_tVol. 188, iss. 1 _v[P. 980-993] _d2016 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 700 | 1 |
_aIshkhanyan _bA. _cphysicist _cAssociate Scientist of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1960- _gArtur _2stltpush _3(RuTPU)RU\TPU\pers\36243 |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет (ТПУ) _bФизико-технический институт (ФТИ) _bКафедра общей физики (ОФ) _h136 _2stltpush _3(RuTPU)RU\TPU\col\18734 |
| 801 | 2 |
_aRU _b63413507 _c20161010 _gRCR |
|
| 856 | 4 | _uhttp://dx.doi.org/10.1134/S0040577916070023 | |
| 942 | _cCF | ||