Relativistic corrections to the algebra of position variables and spin-orbital interaction

Abstract

In the framework of vector model of spin, we discuss the problem of a covariant formalism [35] concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how the spin-induced non-commutativity of a position accounts the discrepancy on the classical level, without appeal to the Dirac equation and Foldy–Wouthuysen transformation.

Original language	English
Pages (from-to)	207-212
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	761
DOIs	https://doi.org/10.1016/j.physletb.2016.08.034
Publication status	Published - 10 Oct 2016

Keywords

First relativistic corrections
Hydrogen atom spectrum
Non commutative position
Problem of covariant formalism
Theories with constraints
Vector model of relativistic spin

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2016.08.034

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title = "Relativistic corrections to the algebra of position variables and spin-orbital interaction",

abstract = "In the framework of vector model of spin, we discuss the problem of a covariant formalism [35] concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how the spin-induced non-commutativity of a position accounts the discrepancy on the classical level, without appeal to the Dirac equation and Foldy–Wouthuysen transformation.",

keywords = "First relativistic corrections, Hydrogen atom spectrum, Non commutative position, Problem of covariant formalism, Theories with constraints, Vector model of relativistic spin",

author = "Deriglazov, {Alexey Anatolievich} and Pupasov-Maksimov, {Andrey M.}",

year = "2016",

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doi = "10.1016/j.physletb.2016.08.034",

language = "English",

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journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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AU - Deriglazov, Alexey Anatolievich

AU - Pupasov-Maksimov, Andrey M.

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N2 - In the framework of vector model of spin, we discuss the problem of a covariant formalism [35] concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how the spin-induced non-commutativity of a position accounts the discrepancy on the classical level, without appeal to the Dirac equation and Foldy–Wouthuysen transformation.

AB - In the framework of vector model of spin, we discuss the problem of a covariant formalism [35] concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how the spin-induced non-commutativity of a position accounts the discrepancy on the classical level, without appeal to the Dirac equation and Foldy–Wouthuysen transformation.

KW - First relativistic corrections

KW - Hydrogen atom spectrum

KW - Non commutative position

KW - Problem of covariant formalism

KW - Theories with constraints

KW - Vector model of relativistic spin

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JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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