Journal ArticleDOI
Exact Solutions of D-Dimensional Schrödinger Equation for an Energy-Dependent Potential by NU Method
TLDR
In this article, the D-dimensional Schrodinger equation for an energy-dependent Hamiltonian was studied and the corresponding eigenfunctions and eigenvalues were derived via the Nikiforov-Uvarov (NU) method.Abstract:
We study the D-dimensional Schrodinger equation for an energy-dependent Hamiltonian that linearly depends on energy and quadratically on the relative distance. Next, via the Nikiforov—Uvarov (NU) method, we calculate the corresponding eigenfunctions and eigenvalues.read more
Citations
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Journal ArticleDOI
Any l-state solutions of the Schrodinger equation interacting with Hellmann–Kratzer potential model
TL;DR: In this article, the authors proposed a new potential called Hellmann-Kratzer potential, which is a superposition of Hellmann potential and modified Kratzer, and calculated the energy eigenvalue and the corresponding wave function using the Nikiforov-Uvarov method.
Journal ArticleDOI
Asymptotic Study to the N-Dimensional Radial Schrödinger Equation for the Quark-Antiquark System
Ramesh Kumar,Fakir Chand +1 more
TL;DR: In this paper, an asymptotic study to the N-dimensional radial Schrodinger equation for the quark-antiquark interaction potential employing an ansatz to the wavefunction is carried out.
Journal ArticleDOI
Approximate Analytical Solutions to the Generalized Pöschl—Teller Potential in D Dimensions
TL;DR: In this paper, the generalized P?schl?Teller potential with the centrifugal term was investigated and the Nikiforov?Uvarov method was used in the calculations and the eigenfunctions as well as the energy eigenvalues obtained after a proper Pekeris-type approximation.
Journal ArticleDOI
Bound state solutions of the Schrödinger equation with energy-dependent molecular Kratzer potential via asymptotic iteration method
Akpan N. Ikot,Uduakobong S. Okorie,Alalibo T. Ngiangia,Clement A. Onate,C. O. Edet,I. O. Akpan,P. O. Amadi +6 more
TL;DR: In this article, the exact bound state energy spectrum of the Schrodinger equation with energy dependent molecular Kratzer potential using asymptotic iteration method (AIM) was obtained.
Journal ArticleDOI
Complete Analytical Solutions of the Mie-Type Potentials in N-Dimensions
TL;DR: In this article, the exact solutions of the N-dimensional Schrodinger equation with the Mie-type potentials are obtained and the corresponding wave functions are obtained in terms of the Laguerre polynomial.
References
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Quantum Mechanics of One- and Two-Electron Atoms
Hans A. Bethe,Edwin E. Salpeter +1 more
TL;DR: The theory of atoms with one or two electrons is the simplest and most completely treated field of application of quantum mechanics as mentioned in this paper, and it is one of the simplest fields of application for quantum mechanics.
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Special functions of mathematical physics : a unified introduction with applications
TL;DR: The theory of classical or thogonal polynomials of a discrete variable on both uniform and non-uniform lattices has been given a coherent presentation, together with its various applications in physics as discussed by the authors.
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Zur Quantenmechanik des magnetischen Elektrons
TL;DR: In this article, the authors present a method for the quantification of magnetischen Elektrons using the Dirac-Jordansche Transformationstheorie, in which the Eigenmoments of an Elektron's Eigenimpulsmomentes in einer festen Richtung als weitere Veranderliche einfuhrt.
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Zur Quantenmechanik des magnetischen Elektrons
TL;DR: In this paper, Pauli et al. present a new variable for magnetischen Elektrons, which is ganz unabhangig von irgend einer speziellen Art der auseren Kraftfelder.
Journal ArticleDOI
Spin response of unpolarized quantum dots
Llorenç Serra,Enrico Lipparini +1 more
TL;DR: In this paper, the spin response function for electrons confined in a quantum dot is studied within the time-dependent local spin density approximation (TDLSDA) of density functional theory.