dorsal/arxiv
View SchemaNon-relativistic Schroedinger theory on q-deformed quantum spaces I, Mathematical framework and equations of motion
| Authors | Hartmut Wachter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703070 |
| URL | https://arxiv.org/abs/quant-ph/0703070 |
Abstract
The aim of these three papers (I, II, and III) is to develop a q-deformed version of non-relativistic Schroedinger theory. Paper I introduces the fundamental mathematical and physical concepts. The braided line and the three-dimensional q-deformed Euclidean space play the role of position space. For both cases the algebraic framework is extended by a time element. A short review of the elements of q-deformed analysis on the spaces under consideration is given. The time evolution operator is introduced in a consistent way and its basic properties are discussed. These reasonings are continued by proposing q-deformed analogs of the Schroedinger and the Heisenberg picture.
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"abstract": "The aim of these three papers (I, II, and III) is to develop a q-deformed\nversion of non-relativistic Schroedinger theory. Paper I introduces the\nfundamental mathematical and physical concepts. The braided line and the\nthree-dimensional q-deformed Euclidean space play the role of position space.\nFor both cases the algebraic framework is extended by a time element. A short\nreview of the elements of q-deformed analysis on the spaces under consideration\nis given. The time evolution operator is introduced in a consistent way and its\nbasic properties are discussed. These reasonings are continued by proposing\nq-deformed analogs of the Schroedinger and the Heisenberg picture.",
"arxiv_id": "quant-ph/0703070",
"authors": [
"Hartmut Wachter"
],
"categories": [
"quant-ph"
],
"title": "Non-relativistic Schroedinger theory on q-deformed quantum spaces I, Mathematical framework and equations of motion",
"url": "https://arxiv.org/abs/quant-ph/0703070"
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