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...
Gespeichert in:
| Veröffentlicht in: | Physics letters. A Jg. 321; H. 3; S. 155 - 159 |
|---|---|
| 1. Verfasser: | |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Elsevier B.V
02.02.2004
|
| ISSN: | 0375-9601, 1873-2429 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | 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. |
|---|---|
| ISSN: | 0375-9601 1873-2429 |
| DOI: | 10.1016/j.physleta.2003.11.049 |