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Relativistic quantum mechanics : A Dirac's point-form inspired approach

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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Submitted on : Monday, June 7, 2004 - 3:30:57 PM
Last modification on : Thursday, November 19, 2020 - 12:58:39 PM

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B. Desplanques. Relativistic quantum mechanics : A Dirac's point-form inspired approach. Nuclear Physics A, Elsevier, 2005, 748, pp.139-167. ⟨10.1016/j.nuclphysa.2004.10.015⟩. ⟨in2p3-00021902⟩



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