dorsal/arxiv
View SchemaRelativistic quantum mechanics: A Dirac's point-form inspired approach
| Authors | B. Desplanques |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0405059 |
| URL | https://arxiv.org/abs/nucl-th/0405059 |
| DOI | 10.1016/j.nuclphysa.2004.10.015 |
| Journal | Nucl.Phys. A748 (2005) 139-167 |
Abstract
This paper describes a tentative relativistic quantum mechanics approach inspired by Dirac's point-form, which is based on the physics description on a hyperboloid surface. It is mainly characterized by a non-standard relation of the constituent momenta of some system to its total momentum. Contrary to instant- and front-form approaches, where it takes the form of a 3-dimensional delta function, the relation is given here by a Lorentz-scalar constraint. Thus, in the c.m. frame, the sum of the constituent momenta, which differs from zero off-energy shell, has no fixed direction, in accordance with the absence of preferred direction on a hyperboloid surface. To some extent, this gives rise to an extra degree of freedom entering the description of the system of interest. The development of a consistent formalism within this picture is described. Comparison with other approaches is made.
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"abstract": "This paper describes a tentative relativistic quantum mechanics approach\ninspired by Dirac\u0027s point-form, which is based on the physics description on a\nhyperboloid surface. It is mainly characterized by a non-standard relation of\nthe constituent momenta of some system to its total momentum. Contrary to\ninstant- and front-form approaches, where it takes the form of a 3-dimensional\ndelta function, the relation is given here by a Lorentz-scalar constraint.\nThus, in the c.m. frame, the sum of the constituent momenta, which differs from\nzero off-energy shell, has no fixed direction, in accordance with the absence\nof preferred direction on a hyperboloid surface. To some extent, this gives\nrise to an extra degree of freedom entering the description of the system of\ninterest. The development of a consistent formalism within this picture is\ndescribed. Comparison with other approaches is made.",
"arxiv_id": "nucl-th/0405059",
"authors": [
"B. Desplanques"
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],
"doi": "10.1016/j.nuclphysa.2004.10.015",
"journal_ref": "Nucl.Phys. A748 (2005) 139-167",
"title": "Relativistic quantum mechanics: A Dirac\u0027s point-form inspired approach",
"url": "https://arxiv.org/abs/nucl-th/0405059"
},
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