Duality between coordinates and wave functions on noncommutative space
The relation between coordinates and the solutions of the stationary Schrödinger equation in the noncommutative algebra of functions on R 2 N is discussed. We derive this relation for a certain class of wave functions for which the quantum prepotentials depend linearly on the coordinates similarly t...
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| Vydané v: | Physics letters. A Ročník 321; číslo 3; s. 155 - 159 |
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| Hlavný autor: | |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier B.V
02.02.2004
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| ISSN: | 0375-9601, 1873-2429 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | The relation between coordinates and the solutions of the stationary Schrödinger equation in the noncommutative algebra of functions on
R
2
N
is discussed. We derive this relation for a certain class of wave functions for which the quantum prepotentials depend linearly on the coordinates similarly to the commutative case. Also, the differential equation satisfied by the prepotentials is given. |
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| ISSN: | 0375-9601 1873-2429 |
| DOI: | 10.1016/j.physleta.2003.11.049 |