Classical and quantum quasi-free position dependent mass; P\"oschl-Teller and ordering-ambiguity

We argue that the classical and quantum mechanical correspondence may play a basic role in the fixation of the ordering-ambiguity parameters. We use quasi-free position-dependent masses in the classical and quantum frameworks. The effective P\"oschl-Teller model is used as a manifested reference potential to elaborate on the reliability of the ordering-ambiguity parameters available in the literature.Comment: 10 page

Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry

The kinetic energy operator with position-dependent-mass in cylindrical coordinates is obtained. The separability of the corresponding Schr\"odinger equation is discussed within radial cylindrical mass settings. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials (Hermitian and non-Hermitian PT-symmetric) are reported.Comment: 16 page

A singular position-dependent mass particle in an infinite potential well

We consider an unusual singular position=dependent-mass particle in an infinite potential well. The corresponding Hamiltonian is mapped through a point-canonical-transformation and an explicit correspondence between the target Hamiltonian and a Poschl-Teller type reference Hamiltonian is obtained. New ordering ambiguity parametric setting are suggested.Comment: 13 pages, no figures. To appear in Phys. Lett.

Magneto Acoustic Spin Hall Oscillators

This paper introduces a novel oscillator that combines the tunability of spin Hall-driven nano oscillators with the high quality factor (Q) of high overtone bulk acoustic wave resonators (HBAR), integrating both reference and tunable oscillators on the same chip with CMOS. In such magneto acoustic spin Hall (MASH) oscillators, voltage oscillations across the magnetic tunnel junction (MTJ) that arise from a spin-orbit torque (SOT) are shaped by the transmission response of the HBAR that acts as a multiple peak-bandpass filter and a delay element due to its large time constant, providing delayed feedback. The filtered voltage oscillations can be fed back to the MTJ via a) strain, b) current, or c) magnetic field. We develop a SPICE-based circuit model by combining experimentally benchmarked models including the stochastic Landau-Lifshitz-Gilbert (sLLG) equation for magnetization dynamics and the Butterworth Van Dyke (BVD) circuit for the HBAR. Using the self-consistent model, we project up to $\sim$ 50X enhancement in the oscillator linewidth with Q reaching up to 52825 at 3 GHz, while preserving the tunability by locking the STNO to the nearest high Q peak of the HBAR. We expect that our results will inspire MEMS-based solutions to spintronic devices by combining attractive features of both fields for a variety of applications

A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

We provide an algorithmic approach to the construction of point transformations for scalar ordinary differential equations that admit three-dimensional symmetry algebras which lead to their respective canonical forms

Pengaruh Ukuran Partikel Cangkang Kelapa Sawit terhadap Efisiensi Kalor pada Briket Cangkang Kelapa Sawit

The energy crisis is one of the problems facing mankind today. Because of the limitations of existing fossil energy on earth then much alternative energy development. One alternative energyi is developed briquettes. The briquettes are used in this study is the briquettes are made from raw material palm oil shell. Palm shell briquettes made by particle size variations. The measure used in the study are smaller than 8 mesh, between 8-12 mesh, between 12-20 mesh, and greater than 20 mesh. Grouping particle size sieve used to size 8 mesh, 12 mesh and 20 mesh. As the adhesives used briquettes cassava flour in the ratio 1:7 to palm shells. Briquettes with a mesh size of between 8 - 12 mesh has an average calorific value of the largest in the amount of 4696.2 cal / g. Briquettes with size greater than 20 mesh is the briquettes to trigger the shortest time and the amount of residual char slightly. Briquettes with size smaller than 8 mesh is briquettes with flame longest time with an average temperature of 65 ◦ C

Reengineering the Leadership Competencies of the Leaders at the Jordanian Ministry of Education According to the Contemporary Leadership Trends

The article aimed to reveal the availability of reengineering the competencies of educational leaders in the Jordanian Ministry of Education based on contemporary leadership trends. The study population is all leaders in the Ministry of Education Center for the year 2020/2022. The researcher used the developmental survey method, and a questionnaire was developed that confirmed its validity and stability. The Study community is (260) individuals from all leaders in the ministry. Results: The reality of the availability of engineering competencies among the educational leaders in the ministry was medium, with statistically significant differences. Based on these results, a restructuring of the competencies of educational leaders was presented. The researcher recommended training educational leaders to bring about innovative changes and to raise the motivation of leadership charisma. She recommended that the Ministry of Education adopt the engineering of leadership competencies to enable educational leaders to achieve creativity, innovation, and comprehensive institutional change in their positions. هدف المقال الكشف عن مدى توفر إعادة هندسة كفايات القيادات التربوية في وزارة التربية والتعليم الأردنية في ضوء الاتجاهات القيادية المعاصرة. مجتمع الدراسة جميع القيادات في مركز وزارة التربية والتعليم للعام 2020/2022. واستخدمت الباحثة أسلوب المسح النمائي، وتم تطوير استبانة أكدت صدقها وثباتها. يتكون مجتمع الدراسة من (260) فرداً من جميع القيادات في الوزارة. النتائج: أن واقع مدى توافر الكفايات الهندسية لدى القيادات التربوية في الوزارة كان متوسطاً مع وجود فروق ذات دلالة إحصائية. وبناء على هذه النتائج تم عرض إعادة هيكلة كفايات القيادات التربوية. وأوصى الباحث بتدريب القيادات التربوية على إحداث التغييرات الابتكارية، ورفع دافعية الكاريزما القيادية. وأوصت وزارة التربية والتعليم بتبني هندسة الكفاءات القيادية لتمكين القيادات التربوية من تحقيق الإبداع والابتكار والتغيير المؤسسي الشامل في مواقعهم