156 citations · 673 across the 47 of their papers we have counts for
46 papers
Asymptotic behavior of solutions and spectrum of states in the quantum scalar field theory in the Schwarzschild spacetime
Mikhail N. Smolyakov
In this paper, the study of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime is continued. The normalization constants for the eigenfunctio…
Doubling of physical states in the quantum scalar field theory for a remote observer in the Schwarzschild spacetime
Vadim Egorov, Mikhail Smolyakov, Igor Volobuev
We discuss the problem of canonical quantization of a free real massive scalar field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantizati…
Comment on "Nonperturbative Calculation of Born-Infeld Effects on the Schrodinger Spectrum of the Hydrogen Atom" [Phys. Rev. Lett. 96 (2006) 030402, arXiv:math-ph/0506069]
Mikhail N. Smolyakov
It is shown that the solution for the electrostatic potential used in [Phys. Rev. Lett. 96 (2006) 030402, arXiv:math-ph/0506069] is not correct and therefore cannot provide a more…
Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature. II. The general case
Mikhail N. Smolyakov
In the present paper, discussion of the canonical quantization of a weakly nonideal Bose gas at zero temperature within the framework of the Bogolyubov approach is continued. Contr…
Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature
Mikhail N. Smolyakov
In the present paper, quantization of a weakly nonideal Bose gas at zero temperature along the lines of the well-known Bogolyubov approach is performed. The analysis presented in t…
Perturbations against a Q-ball. II. Contribution of nonoscillation modes
Mikhail N. Smolyakov
In the present paper, discussion of perturbations against a Q-ball solution is continued. It is shown that in order to correctly describe perturbations containing nonoscillation mo…