dorsal/arxiv
View SchemaOn representations of the inhomogeneous de Sitter group and on equations of the Schrodinger-Foldy type
| Authors | Wilhelm I. Fushchych, Ivan Yu. Krivsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206048 |
| URL | https://arxiv.org/abs/quant-ph/0206048 |
| Journal | Preprint of Institute of Theor. Phys., N 69-1, Kiev, 1969, 13 pages |
Abstract
This paper is a continuation and elaboration of our work quant-ph/0206057 (Nucl. Phys. B, 1968, 7, 79) where some approach to the variable-mass problem were proposed. Here we have found a concret realization of irreducible representations of the inhomogeneous group P(1,n) - the group of translations and rotations in (1+n)-dimensional Minkowski space in two classes (when P_0^2-P_k^2>0 and P_0^2-P_k^2<0). All the P(1,n)-invariant equations of the Schrodinger-Foldy type are written down. Some questions of a physical interpretation of the quantum, mechanical scheme based on the inhomogeneous de Sitter group P(1,n) are discussed.
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"abstract": "This paper is a continuation and elaboration of our work quant-ph/0206057\n(Nucl. Phys. B, 1968, 7, 79) where some approach to the variable-mass problem\nwere proposed. Here we have found a concret realization of irreducible\nrepresentations of the inhomogeneous group P(1,n) - the group of translations\nand rotations in (1+n)-dimensional Minkowski space in two classes (when\nP_0^2-P_k^2\u003e0 and P_0^2-P_k^2\u003c0). All the P(1,n)-invariant equations of the\nSchrodinger-Foldy type are written down. Some questions of a physical\ninterpretation of the quantum, mechanical scheme based on the inhomogeneous de\nSitter group P(1,n) are discussed.",
"arxiv_id": "quant-ph/0206048",
"authors": [
"Wilhelm I. Fushchych",
"Ivan Yu. Krivsky"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"nlin.SI"
],
"journal_ref": "Preprint of Institute of Theor. Phys., N 69-1, Kiev, 1969, 13\n pages",
"title": "On representations of the inhomogeneous de Sitter group and on equations of the Schrodinger-Foldy type",
"url": "https://arxiv.org/abs/quant-ph/0206048"
},
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