Group theoretical derivation of consistent free particle theories
DOI10.1007/s10701-020-00364-2zbMath1454.81107OpenAlexW3049541849MaRDI QIDQ828353
Publication date: 8 January 2021
Published in: Foundations of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10701-020-00364-2
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Spinor and twistor methods applied to problems in quantum theory (81R25) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Structure and representation of the Lorentz group (22E43) Minkowski geometries in nonlinear incidence geometry (51B20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Group theoretical characterization of wave equations
- Symmetries and group theory in particle physics. An introduction to space-time and internal symmetries.
- Antiunitary symmetry operators in quantum mechanics
- Localizability and space in quantum physics
- Quantum mechanics on phase space
- Projective unitary antiunitary representations of locally compact groups
- Minimal electromagnetic coupling as a consequence of Lorentz invariance
- Synthesis of Covariant Particle Equations
- Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
- Projective covering group versus representation groups
- On the projective unitary representations of connected Lie groups
- Quantised singularities in the electromagnetic field,
- Group theoretical derivation of the minimal coupling principle
- Position Operators and Localizability of Quantum Systems Described by Finite- and Infinite-Dimensional Wave Equations
- Group Theoretical Discussion of Relativistic Wave Equations
- Localized States for Elementary Systems