Quantum theory of the relativistic oscillator from the HOOP (higher-order one-particle) viewpoint

DOI10.1088/0305-4470/33/25/309zbMath1004.81010OpenAlexW1989746153MaRDI QIDQ4520602

Garold Murdachaew, Edward H. Kerner

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/25/309

zbMATH Keywords

relativistic wave equationsolved numericallyLorentz covarianthigher-order Lagrangiancanonical commutation rulescentre-of-momentum framehigher-order one-particleHOOPOstrogradsky Hamiltonian format

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear dynamics in mechanics (70K99) Software, source code, etc. for problems pertaining to quantum theory (81-04) Geometry and quantization, symplectic methods (81S10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

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