Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Perepelkin, E."'
The interrelation between the concepts of self-consistency, relativism and many-particle systems is considered within the framework of a unified consideration of classical and quantum physics based on the first principle of the probability conservati
Externí odkaz:
http://arxiv.org/abs/2404.13580
The paper considers the mathematical formulation of the problem of transverse oscillations of a vertical rod under gravity, friction and external pulse effect, leading to thermal expansion of the rod. The dynamics of the system under consideration co
Externí odkaz:
http://arxiv.org/abs/2311.05293
Using the Wigner-Vlasov formalism, an exact 3D solution of the Schr\"odinger equation for a scalar particle in an electromagnetic field is constructed. Electric and magnetic fields are non-uniform. According to the exact expression for the wave funct
Externí odkaz:
http://arxiv.org/abs/2308.12613
The Moyal equation describes the evolution of the Wigner function of a quantum system in the phase space. The right-hand side of the equation contains an infinite series with coefficients proportional to powers of the Planck constant. There is an int
Externí odkaz:
http://arxiv.org/abs/2307.16316
This paper presents a comprehensive investigation of the problem of a harmonic oscillator with time-depending frequencies in the framework of the Vlasov theory and the Wigner function apparatus for quantum systems in the phase space. A new method is
Externí odkaz:
http://arxiv.org/abs/2305.06069
A full consideration of classical and quantum systems with radiation (electromagnetic/gravitational) requires the involvement of a mathematical description in the generalized phase space of high kinematical values. Based on the dispersion chain of eq
Externí odkaz:
http://arxiv.org/abs/2210.07620
Based on the dispersion chain of the Vlasov equations, the paper considers the construction of a new chain of equations of quantum mechanics of high kinematical values. The proposed approach can be applied to consideration of classical and quantum sy
Externí odkaz:
http://arxiv.org/abs/2209.14069
A new equation for describing physical systems with radiation is obtained in this paper. Examples of such systems can be found in plasma physics, accelerator physics (synchrotron radiation) and astrophysics (gravitational waves). The new equation is
Externí odkaz:
http://arxiv.org/abs/2205.06459
Using the simplest but fundamental example, the problem of the infinite potential well, this paper makes an ideological attempt (supported by rigorous mathematical proofs) to approach the issue of {\guillemotleft}understanding{\guillemotright} the me
Externí odkaz:
http://arxiv.org/abs/2112.15212
For a quantum oscillator with the polynomial potential an explicit expression that describes the energy distribution as a coordinate (and momentum) function is obtained. The presence of the energy function poles is shown for the quantum system in the
Externí odkaz:
http://arxiv.org/abs/2111.13261