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...
Saved in:
| Published in: | Physics letters. A Vol. 321; no. 3; pp. 155 - 159 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
02.02.2004
|
| ISSN: | 0375-9601, 1873-2429 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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 |