Problems in Quantum Mechanics and Field Theory with Mathematical Modelling

Aleksander V. Chichurin, Elena M. Ovsiyuk, Viktor M. Red’kov

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English

CRC Press
04 October 2024

Applied mathematics; Light (optics); Quantum physics (quantum mechanics & quantum field theory); Mathematical physics; Maths for engineers

In Problems in Quantum Mechanics and Field Theory with Mathematical Modelling, a number of exactly solvable problems in electrodynamics and in quantum-mechanics of particles with different spins are presented.

The main topics covered include: the Cox scalar particle with intrinsic structure in presence of the magnetic field in the spaces of constant curvature, Euclid, Riemann, and Lobachevsky; Cox particle in the Coulomb field; tunneling effect through Schwarzschild barrier for a spin 1/2 particle; electromagnetic field in Schwarzschild space-time, the Majorana - Oppenheimer approach in electrodynamics; scalar particle with polarizability in the Coulomb field; Dirac particle in the Coulomb field on the background of hyperbolic Lobachevsky and spherical Riemann models; particle with spin 1 in the Coulomb field; geometrical modeling of the media in Maxwell electrodynamics; P-asymmetric equation for a spin 1/2 particle; fermion with two mass parameters in the Coulomb field; helicity operator for a spin 2 particle in presence of the magnetic field.

The book will be of interest to researchers, and is accessible enough to serve as a self-study resources for courses at undergraduate and graduate levels.

By: Aleksander V. Chichurin, Elena M. Ovsiyuk, Viktor M. Red’kov
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 898g
ISBN: 9781032750972
ISBN 10: 1032750979
Pages: 400
Publication Date: 04 October 2024
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

1 Cox scalar particle in the magnetic field in the Lobachevsky space 2 Cox scalar particle in magnetic field, the spherical space 3 Cox particle in the Coulomb field 4 Cox particle in the Coulomb field 5 On Maxwell equations in Schwarzschild space-time 6 Particle with polarisability in the Coulomb field 7 Dirac particle in the Coulomb field in curved models 8 Particle with spin 1 in the Coulomb field 9 Geometrical modeling of the media in electrodynamics 10 P-asymmetric equation for a spin 1/2 particle in external fields 11 Fermion with two mass parameters in the Coulomb field 12 On modeling neutrinos oscillations by geometry methods 13 Helicity operator for a spin 2 particle in magnetic field

Aleksander V. Chichurin is a Professor at The John Paul II Catholic University of Lublin, Poland. His research interests currently span differential equations, mathematical modelling, computer algebra systems. Elena M. Ovsiyuk is currently head of Theoretical Physics and Applied Informatics at Mozyr State Pedagogical University in Belarus. Her current research areas include elementary particles with spin in external electromagnetic and gravitational fields. Viktor M. Red’kov is Chief Researcher for the Institute of Physics at the National Academy of Sciences of Belarus. His primary fields of research include elementary particles with spin in external electromagnetic and gravitational fields.