A general approach for the exact solution of the Schrödinger equation
C Tezcan, R Sever - International Journal of Theoretical Physics, 2009 - Springer
The Schrödinger equation is solved exactly for some well known potentials. Solutions are
obtained reducing the Schrödinger equation into a second order differential equation by …
obtained reducing the Schrödinger equation into a second order differential equation by …
[BOOK][B] Supersymmetric Methods in Quantum, Statistical and Solid State Physics: Enlarged and revised edition
G Junker - 2019 - iopscience.iop.org
As with the earlier edition, this book provides an accessible introduction to supersymmetric
quantum mechanics and its applications in quantum, statistical and solid state physics …
quantum mechanics and its applications in quantum, statistical and solid state physics …
Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic …
M Hamzavi, AA Rajabi, H Hassanabadi - Physics Letters A, 2010 - Elsevier
In this Letter, the Dirac equation is exactly solved for spatially-dependent mass Coulomb
potential including a Coulomb-like tensor potential under pseudospin symmetry limit by …
potential including a Coulomb-like tensor potential under pseudospin symmetry limit by …
Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians
Some exactly solvable potentials in the position dependent mass background are generated
whose bound states are given in terms of Laguerre-or Jacobi-type X1 exceptional …
whose bound states are given in terms of Laguerre-or Jacobi-type X1 exceptional …
Position-dependent mass, finite-gap systems, and supersymmetry
The ordering problem in quantum systems with position-dependent mass (PDM) is treated
by inclusion of the classically fictitious similarity transformation into the kinetic term. This …
by inclusion of the classically fictitious similarity transformation into the kinetic term. This …
Exact solutions of Schrödinger equation for the position-dependent effective mass harmonic oscillator
A one-dimensional harmonic oscillator with position-dependent effective mass is studied.
We quantize the oscillator to obtain a quantum Hamiltonian, which is manifestly Hermitian in …
We quantize the oscillator to obtain a quantum Hamiltonian, which is manifestly Hermitian in …
Yet another position-dependent mass quantum model
The quantum dynamics of particles with mass dependent on the position is a problem of
interest since the effective-mass approach to charge carriers in conductors and …
interest since the effective-mass approach to charge carriers in conductors and …
Exact solution of effective mass Schrödinger equation for the Hulthen potential
A general form of the effective mass Schrödinger equation is solved exactly for Hulthen
potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the …
potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the …
Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach
The quantization of systems with a position dependent mass (PDM) is studied. We present a
method that starts with the study of the existence of Killing vector fields for the PDM geodesic …
method that starts with the study of the existence of Killing vector fields for the PDM geodesic …
Algebraic solutions of shape-invariant position-dependent effective mass systems
Kee** in view the ordering ambiguity that arises due to the presence of position-
dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme …
dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme …