Symplectic formulation of relativistic quantum mechanics

DOI10.1063/1.524763zbMath0479.58010OpenAlexW2063510327MaRDI QIDQ3938242

Young S. Kim, Marilyn E. Noz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524763

zbMATH Keywords

symplectic groupsymplectic propertysymplectic transformationcovariant harmonic oscillator formalismdiagonal form in the light-cone coordinate systemLorentz transformation of the wave function along a given directionrelativistic quantum mechanics of bound-state quarks

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Methods of quantum field theory in general relativity and gravitational theory (83C47) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Related Items (1)

Cylindrical group and massless particles

Cites Work

• Yukawa's Approach and Dirac's Approach to Relativistic Quantum Mechanics: Relativistic Harmonic Oscillator Model
• Quadratic Hamiltonians in phase space and their eigenstates
• Lorentz subgroup analysis of the Lie algebra of Sp(8,R) and a null-plane, boson realization
• Forms of Relativistic Dynamics

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