4 papers
Covariant Quantum Green's Function for an Accelerated Particle
T. Garavaglia
Covariant relativistic quantum theory is used to study the covariant Green's function, which can be used to determine the proper time evolved wave functions that are solutions to t…
Covariant relativistic quantum theory
T. Garavaglia
Covariant classical particle dynamics is described, and the associated covariant relativistic particle quantum mechanics is derived. The invariant symmetric bracket is defined on t…
The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics
T. Garavaglia
Both the classical and quantum approximate invariants are found for the nonlinar r time-dependent oscillator of sextupole transverse betatron dynamics. They are represented in term…
The principle of symmetric bracket invariance as the origin of first and second quantization
T. Garavaglia, S. K. Kauffmann
The principle of invariance of the c-number symmetric bracket is used to derive both the quantum operator commutator relation and the time-dependent Schrö…