Generalized Helicity Operator for a Spin 2 Particle in the Presence of an External Uniform Magnetic Field

DOI10.33581/1561-4085-2022-25-2-104-121OpenAlexW4284882310WikidataQ114036691 ScholiaQ114036691MaRDI QIDQ6072294

Viktor M. Red'kov, Anton V. Buryy, Alina V. Ivashkevich, Unnamed Author, Elena M. Ovsiyuk

Publication date: 13 October 2023

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33581/1561-4085-2022-25-2-104-121

zbMATH Keywords

exact solutioneigenvalue problemexternal magnetic fieldcylindrical symmetryspin 2 particlehelicity operatortetrad method

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Estimates of eigenvalues in context of PDEs (35P15) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Applications of Lie groups to the sciences; explicit representations (22E70) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Electro- and magnetostatics (78A30) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Special quantum systems, such as solvable systems (81Q80) Bosonic systems in quantum theory (81V73)

Cites Work

• On exact solutions of the Dirac equation in a homogeneous magnetic field in the Lobachevsky space
• Spin 1 particle on 4-dimensional sphere: extended helicity operator, separation of the variables, and exact solutions
• On the properties of spin 2 particles
• On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
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