Coupling of a biquaternionic Dirac field to a bosonic field

Quantization of Dirac Field

Dirac fermions in a magnetic-solenoid field

We consider the Dirac equation with a magnetic-solenoid field (the superposition of a solenoid field and a collinear uniform magnetic field). Using von Neumann’s theory of the selfadjoint extensions of symmetric operators, we construct selfadjoint Dirac Hamiltonians for the case of the Aharonov-Bohm solenoid in 2 + 1 and 3 + 1 dimensions. Each extension of the family is specified by certain asy...

Dirac Particles in a Gravitational Field

A toy model of bosonic non-canonical quantum field

A harmonic oscillator is an indefinite-frequency one if the parameter ω is replaced by an operator. An ensemble of N such oscillators may be regarded as a toy model of a bosonic quantum field. All the possible frequencies associated with a given problem are present already in a single oscillator and N can be finite. Due to the operator character of ω the resulting algebra of creationannihilatio...

Field evaluation of a dual bentleg plow