arXiv subjects
Publications and source records attributed to A. G. Chirkov.
The representation of a Schrodinger equations as a classic Hamiltonian system allows to construct a unified perturbation theory both in classic, and in a quantum mechanics grounded on the theory of canonical transformations, and also to receive asymptotic estimations of affinity of the precisian approximated solutions of Schrodinger equations
The problem analysis results made the author to draw a conclusion that the nature of the resonance frequency long-term instability and drift at harmonic excitation is related to the phase dynamics of the "atom + field" system in the small vicinity of the resonance. The investigation is based on the strictly substantiated asymptotic Krylov-Bogolyubov perturbation theory. A time-dependent (drift) first-order correction of the perturbing field amplitude to the resonance frequency was disclosed. It was found that this correction is always present and is responsible for the frequency drift and long-term instability. The necessary and sufficient conditions of accurate resonance, as well as the conditions of realization of a stable (stationary, steady-state) drift-free oscillation regime in a quantum system, are obtained.
A theoretical analysis of the excitation of an infinitely long solenoid by oscillating current has revealed the existence of specific potentials in the space outside the solenoid, which can affect electron diffraction in an experiment similar to the Aharonov-Bohm effect. Thus, these time-dependent potentials are physical fields possessing a number of specific features, which set them off from the fields known heretofore.
A theoretical analysis of the excitation of an infinitely long solenoid by oscillating current has revealed the existence of specific potentials in the space outside the solenoid, which can affect electron diffraction in an experiment similar to the Aharonov-Bohm effect. Thus, these time-dependent potentials are physical fields possessing a number of specific features, which set them off from the fields known heretofore.