Supersymmetry of a Nonstationary Pauli Equation

The supersymmetry of the electron in both the nonstationary magnetic and electric fields in a two-dimensional case is studied. The supercharges which are the integrals of motion and their algebra are established. Using the obtained algebra the solutions of nonstationary Pauli equation are generated.Comment: 12 pages, Late

ФОРМУВАННЯ АДЕКВАТНОЇ САМООЦІНКИ ОСОБИСТОСТІ МАЙБУТНЬОГО КЕРІВНИКА ЯК СУБ’ЄКТА УПРАВЛІННЯ

Розглянуто проблему суб’єктивної основи ефективності управління. Керівник, його особистісні характеристики розглянуто як фактори, що впливають на якість управління, а правильне сімейне виховання адекватної самооцінки як важливий фактор, що відіграє значну роль у формуванні майбутнього керівника як суб’єкта управління

Polarization-resolved near-field characterization of coupling between a bus waveguide and a ring resonator

Light propagation in Photonic integrated circuits (PICs), which can nowadays involve complex systems of light-guiding structures, is measured with different approaches(Nuzhdin et al., 2020, Lončar et al., 2002, Hopman et al., 2007, Morichetti et al., 2014, Sapienza et al., 2012, Vesseur et al., 2007). An interferometric polarization-sensitive measurement of the evanescent fields of these structures provides insight in the performance of the circuit detects possible malfunction with sub-wavelength precision(Engelen et al., 2007, Gersen et al., 2005, Barwick et al., 2009). We demonstrate a Near-field scanning optical microscopy (NSOM) measurement on coupled ring resonators that shows how the guided modes evolve as they propagate across the optical chip. Analysis of the measurements provides information about intensity distribution of the two polarization components (TE and TM) and their spatial confinement. The data validates our methodology and opens new possibilities for analysis of signal propagation in prototyping and optimization of integrated optical systems. Direct observation of polarization state of the guided modes allows for clear understanding of mode conversion in coupling systems.</p

WKB approximation in deformed space with minimal length

The WKB approximation for deformed space with minimal length is considered. The Bohr-Sommerfeld quantization rule is obtained. A new interesting feature in presence of deformation is that the WKB approximation is valid for intermediate quantum numbers and can be invalid for small as well as very large quantum numbers. The correctness of the rule is verified by comparing obtained results with exact expressions for corresponding spectra.Comment: 13 pages Now it is avaible at http://stacks.iop.org/0305-4470/39/37

Zr3NiSb7: a new anti­mony-enriched ZrSb2 derivative

Single crystals of trizirconium nickel hepta­anti­monide were synthesized from the constituent elements by arc-melting. The compound crystallizes in a unique structure type and belongs to the family of two-layer structures. All crystallographically unique atoms (3 × Zr, 1 × Ni and 7 × Sb) are located at sites with m symmetry. The structure contains ‘Zr2Ni2Sb5’ and ‘Zr4Sb9’ fragments and might be described as a new ZrSb2 derivative with a high Sb content

Retrospective Analysis of Quality Indicators of Transduodenal Endobiliar Interventions without Anaesthesia

The objective of the research was to assess the advantages and disadvantages of transduodenal endobiliar surgeries without general anesthesia. The analysis of 1,678 hospital records of patients who underwent transduodenal endobiliar surgery was made including the average &nbsp;duration of surgery, its effectiveness and the incidence of adverse cardiorespiratory events. The number of terminated procedures and subjective evaluation of the procedure by the patient and endoscopist were taken into account. Results. There has been a growth of minimally invasive operations since 2008. The analysis indicated that endoscopists refused to perform high-risk surgery in patients with high comorbidity. Choledocholitoextraction without general anesthesia was possible only in 50-75% of cases. One of the disadvantages of the procedure was psychological efforts made by physicians. The incidence of cardiorespiratory events was 1-2%, and surgery was terminated in 12 to 32% of cases. Postoperative&nbsp; mortality was 0.18%, the total mortality rate was 1.8%. Conclusions. Endobiliar interventions without general anesthesia showed significant limitations and disadvantages. Intraoperative complications of cardiorespiratory system when performing endoscopic surgery without general anaesthesia were obsereved only in 2% of patients, however, this small number was achieved by careful selection of low-risk patients excluding those at risk of age-related complications and those having risky comorbidities. The absence of anaesthesia significantly reduces patient safety

Supersymmetric Method for Constructing Quasi-Exactly and Conditionally-Exactly Solvable Potentials

Using supersymmetric quantum mechanics we develop a new method for constructing quasi-exactly solvable (QES) potentials with two known eigenstates. This method is extended for constructing conditionally-exactly solvable potentials (CES). The considered QES potentials at certain values of parameters become exactly solvable and can be treated as CES ones.Comment: 17 pages, latex, no figure

Motion of a spin 1/2 particle in shape invariant scalar and magnetic fields

We study the motion of a spin 1/2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.Comment: 14 page

General approach to potentials with two known levels

We present the general form of potentials with two given energy levels $E_{1}$, $E_{2}$ and find corresponding wave functions. These entities are expressed in terms of one function $\xi (x)$ and one parameter $\Delta E=E_{2}$-$E_{1}$. We show how the quantum numbers of both levels depend on properties of the function $\xi (x)$. Our approach does not need resorting to the technique of supersymmetric (SUSY) quantum mechanics but automatically generates both the potential and superpotential.Comment: 14 pages, REVTeX 3.0. In v.2 misprints and inaccuracies in presentation corrected, discussion of 3-dim. case added. In v.3 misprint in eq. 41, several typos and inaccuracies in English corrected. To be published in J. of Phys. A: Math. Ge