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This article is cited in 1 scientific paper (total in 1 paper)
The Newton–Wigner Problem in the Relativistic Quantum Mechanics of Free Particles
O. I. Zavialov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We discuss the old Newton–Wigner problem, which is understood as the problem of a correct coordinate interpretation of the relativistic quantum mechanics of free particles. This problem is still relevant for quantum field theory because the $S$-matrix approach assumes that asymptotic fields describe relativistic free quantum-mechanical particles. From the modern standpoint, the original solution of this problem by Newton and Wigner already cannot be considered sufficient because it admits the smearing of wave packets with a superlight velocity. We discuss a possibility of overcoming this difficulty. This possibility is connected with relativistic deformations of the standard Heisenberg algebra. We describe situations in which a sort of desingularization of the effective free Hamiltonian occurs for some special deformations, which possibly allows preserving sublight velocity in the theory.
Keywords:
Newton–Wigner operator, microscopic causality.
Received: 02.12.2003 Revised: 17.06.2004
Citation:
O. I. Zavialov, “The Newton–Wigner Problem in the Relativistic Quantum Mechanics of Free Particles”, TMF, 141:3 (2004), 348–357; Theoret. and Math. Phys., 141:3 (2004), 1631–1639
Linking options:
https://www.mathnet.ru/eng/tmf134https://doi.org/10.4213/tmf134 https://www.mathnet.ru/eng/tmf/v141/i3/p348
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Abstract page: | 421 | Full-text PDF : | 246 | References: | 55 | First page: | 1 |
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