Wigner function properties for electromagnetic systems

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 function, the search for two types of the Wigner functions is conducted. The first function is the usual Wigner function with a modified momentum. The second Wigner function is constructed on the basis of the Weyl-Stratonovich transform in papers [Phys. Rev. A 35 2791 (1987)] or [Phys. Rev. B 99 014423 (2019)]. It turns out that the second function, unlike the first one, has areas of negative values for wave functions with the Gaussian distribution (Hudson's theorem). On the one hand, knowing the Wigner functions allows one to find the distribution of the mean momentum vector field and the energy spectrum of the quantum system. On the other hand, within the framework of the Wigner-Vlasov formalism, the mean momentum distribution and the magnitude of the energy are initially known. Consequently, the mean momentum distributions and energy values obtained according to the Wigner functions can be compared with the exact momentum distribution and energy values. This paper presents this comparison and describes the differences. For the first Wigner function, an analog of the Moyal equation with an electromagnetic part and the Hamilton-Jacobi operator equation are obtained. An operator analogue of the {\guillemotleft}motion equation{\guillemotright} with electromagnetic interaction is constructed. For the second Vlasov equation, an operator expression for the Vlasov-Moyal approximation for systems with electromagnetic interaction is obtained.Comment: 26 pages, 2 figure

The Wigner function negative value domains and energy function poles of the polynomial oscillator

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 domains where the Wigner function has negative values.Comment: 21 pages, 4 figure

Towards graded-index magnonics: Steering spin waves in magnonic networks

Magnonics explores precessional excitations of ordered spins in magnetic materials—so-called spin waves—and their use as information and signal carriers within networks of magnonic waveguides. Here, we demonstrate that the nonuniformity of the internal magnetic field and magnetization inherent to magnetic structures creates a medium of graded refractive index for propagating magnetostatic waves and can be used to steer their propagation. The character of the nonuniformity can be tuned and potentially programmed using the applied magnetic field, which opens exciting prospects for the field of graded-index magnonics

Успешные клинические случаи реконструктивно пластических лапароскопических операций на мочеточнике трансплантированной почки

Treatment of ureteral strictures in the long-term post-transplant period is a complex surgical procedure. We present successful clinical cases of developed laparoscopic ureteral stricture reconstruction methods at three levels (in the pelvis, along the ureter, in the anastomosis area). These methods have shown their clinical efficacy: they are less traumatic, there are no adverse events in the early and long-term postoperative periods, and there is accelerated rehabilitation of recipients after surgery.Лечение стриктур мочеточника в отдаленном посттрансплантационном периоде является сложной хирургической задачей. Представлены успешные клинические случаи применения разработанных реконструктивно-пластических лапароскопических методов коррекции стриктуры мочеточника на трех уровнях (в области лоханки, на протяжении мочеточника, в области анастомоза), показавшие свою клиническую эффективность: менее травматичны, без нежелательных событий в раннем и отдаленном послеоперационных периодах, ускоренная реабилитация реципиентов после операции

Hybrid nanoparticles based on sulfides, oxides, and carbides

The methods for synthesis of hybrid nanoparticles based on sulfides, oxides, and carbides of heavy and transition metals were considered. The problem of the influence of the method of synthesis of the hybrid nanoparticles on their atomic structure, morphology of the nanomaterials, and functional properties was analyzed. The areas of practical use of the hybrid nanoparticles were proposed. © 2013 Springer Science+Business Media New York