Singular potentials and moving boundaries in 3D

Yuce, C
In this Letter, the problem of a spinless particle under the time-dependent harmonic oscillator potential and a singular potential with a moving boundary is studied in the spherical coordinates. Some transformations are used to transform the moving boundary conditions to the fixed boundary conditions. An exact solution is constructed.


Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces
Shikakhwa, M. S.; Chair, N. (IOP Publishing, 2017-01-01)
We construct the Hermitian Schrodinger Hamiltonian of spin-less particles and the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field, which are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved...
Exact solvability of moving boundary problems
Yuce, C (Elsevier BV, 2004-06-28)
In this Letter, the problem of a spinless particle under the moving boundary condition is studied. It is found that the exact solution can be found if the boundary moves with the constant speed. It is proven that this restriction on the exact solvability is lifted if the electromagnetic field is introduced in the system. As an application, the exact solution for the particle confined in the sinusoidally vibrating cylindrical well is given.
Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit
Aydogdu, Oktay; Sever, Ramazan (Elsevier BV, 2010-02-01)
We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energ...
Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation
Farout, Mahmoud; Sever, Ramazan; Ikhdair, Sameer M. (IOP Publishing, 2020-06-01)
We obtain the quantized momentum eigenvalues P-n together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
Singularities of spectra of infrared reflection of tertiary compounds of the type T1BX2
Hasanlı, Nızamı; Khomutova, M.D.; Sardarly, R.M.; Tagorov, V.I. (Springer Science and Business Media LLC, 1977-07-01)
The frequencies of lattice vibrations are calculated for compounds of the type T1BX2 on the basis of the linear-chain model. The calculated frequencies are compared with experimental values for TlGaS2 and TlGaSe2. The good agreement between the calculated and experimental frequencies serves as proof of the applicability of the linear-chain model to compounds of the T1BX2 type. The proposed method of calculation of frequencies makes it possible to predict the theoretical frequencies of lattice vibrations of ...
Citation Formats
C. Yuce, “Singular potentials and moving boundaries in 3D,” PHYSICS LETTERS A, pp. 291–294, 2004, Accessed: 00, 2020. [Online]. Available: