Overbarrier Resonances as Solutions of Set Inhomogeneous Schr\"{o}dinger Equations

In the paper the Schr\"odinger equation for quasibound resonance state with complex energy is considered. The system of inhomogeneous differential equations is obtained for the real and imaginary parts of wave function. On the base of known solution of corresponding homogeneous equation, the inhomogeneus system is solved with help of iteration procedure. The single-particle neutron $2p$-state in the Woods - Saxon potential is analyzed for $^{13}C$ nucleus.Comment: 19 pages, 3 figure

State-resolved rotational cross sections and thermal rate coefficients for ortho-/para-H2+HD at low temperatures and HD+HD elastic scattering

Results for quantum mechanical calculations of the integral cross sections and corresponding thermal rate coefficients for para-/ortho-H2+HD collisions are presented. Because of significant astrophysical interest in regard to the cooling of primodial gas the low temperature limit of para-/ortho-H2+HD is investigated. Sharp resonances in the rotational state-resolved cross sections have been calculated at low energies. These resonances are important and significantly contribute to the corresponding rotational state-resolved thermal rate coefficients, particularly at low temperatures, that is less than $T \sim 100$K. Additionally in this work, the cross sections for the elastic HD+HD collision have also been calculated. We obtained quite satisfactory agreement with the results of other theoretical works and experiments.Comment: 16 pages, 5 figures, additional results include

External Electromagnetic Fields of a Slowly Rotating Magnetized Star with Gravitomagnetic Charge

We study Maxwell equations in the external background spacetime of a slowly rotating magnetized NUT star and find analytical solutions for the exterior electric fields after separating the equations of electric field into angular and radial parts in the lowest order approximation. The star is considered isolated and in vacuum, with dipolar magnetic field aligned with the axis of rotation. The contribution to the external electric field of star from the NUT charge is considered in detail.Comment: 6 pages, 2 figures, accepted for publication in Astrophysics and Space Scienc

СИМУЛЬТАННАЯ ОПЕРАЦИЯ У ПАЦИЕНТКИ С ЛЕЙОМИОМАТОЗОМ ПРАВОГО ЯИЧНИКА С ИНТРАКАРДИАЛЬНЫМ РАСПРОСТРАНЕНИЕМ: КЛИНИЧЕСКИЙ СЛУЧАЙ

HighlightsIntravascular leiomyoma with heart extension is a rare occurring condition. According to the available data, the number of cases does not exceed 30 despite many years of studies. Often cardiac hospitals cannot establish the clinical picture, so the surgeon removes only cardiac tumors, which inevitably leads to the recurrence of the tumor after a few months. AbstractLeiomyomatosis is an extremely rare disease that occurs in women of childbearing age. The development of the malignant tumor is preceded by the removal of the uterine fibroids or hysterectomy. Radical surgery guarantees the complete absence of relapses, while partial removal leads to relapses in a third of cases. We performed a reoperation on a 35-year-old patient who underwent partial removal of leiomyoma in the right atrium but 3 months later had a tumor causing severe obstruction of the right heart.Основные положенияИнтравенозная опухолевая инвазия лейомиомой, достигающей сердца, встречается редко. По данным литературы, количество случаев составляет не более 30 за долгие годы наблюдений. Зачастую диагностика в кардиостационарах не позволяет определить полную картину, поэтому хирург, как правило, удаляет лишь кардиальную часть опухоли, что неминуемо ведет к возврату опухолевой инвазии спустя несколько месяцев. АбстрактЛейомиоматоз – крайне редкое заболевание, встречаемое у женщин детородного возраста. Как правило, развитию опухоли предшествуют удаление миомы матки или гистерэктомия. Радикальная операция гарантирует полное отсутствие рецидивов, в то время как частичное удаление приводит к рецидивам в трети случаев. Нами выполнено повторное вмешательство у пациентки 35 лет, которая перенесла операцию в условиях искусственного кровообращения в объеме частичного удаления лейомиомы из правого предсердия, а спустя 3 мес. возник рецидив опухоли с признаками тяжелой обструкции правых отделов сердца