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hep-th2024
Klein-Gordon oscillators and Bergman spaces
Alexander D. Popov
We consider classical and quantum dynamics of relativistic oscillator in Minkowski space . It is shown that for a non-zero frequency parameter the covariant p…
math-ph2024
Antiparticles in non-relativistic quantum mechanics
Alexander D. Popov
Non-relativistic quantum mechanics was originally formulated to describe particles. Using ideas from the geometric quantization approach, we show how the concept of antiparticles c…
hep-th2024
On Dirac equations on phase spaces
Alexander D. Popov
We consider Dirac equations on relativistic phase spaces , where is Minkowski space with . We use the geometric quantization ap…