A new pseudoperturbative (artificial in nature) methodical proposal [15] is used to solve for Schrodinger equation with a class of phenomenologically useful and methodically challenging anharmonice oscillator potentials ...

A different approach to the shifted 1/N expansion technique is developed to deal with the Klein-Cxordon particle trapped in a spherically symmetric potential. Properly modifying the definition of the perturbative expansion ...

Using azimuthally symmetrized cylindrical coordinates, we report the consequences of zero-energy quantal states on the von Roos Hamiltonian. A position-dependent mass (PDM) M(rho, phi, z) = bz(j)rho(2 upsilon+1)/2 is used. ...

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. ...

Jia and Dutra (2006 J. Phys. A: Math. Gen. 39 11877) have considered the one-dimensional non-Hermitian complexified potentials with real spectra in the context of position-dependent mass in the Dirac equation. In their ...

A complexified von Roos Hamiltonian is considered and a Hermitian firstorder intertwining differential operator is used to obtain the related positiondependent mass η-weak-pseudo-HermitianHamiltonians. Using a Liouvilleantype ...

The observation that the existence of the amazing reality and discreteness of the spectrum need not necessarily be attributed to the Hermiticity of the Hamiltonian is re-emphasized in the context of the non-Hermitian Dirac ...

The energy levels of neutral atoms supported by Yukawa potential, V(r)=-Z exp(-\alpha r)/r, are studied, using both dimensional and dimensionless quantities, via a new analytical methodical proposal (devised to solve for ...

We study a quantum model with nonisotropic two-dimensional oscillator potential but with additional quadratic interaction x1x2x1x2 with imaginary coupling constant. It is shown that for a specific connection between coupling ...

The kinetic energy operator with position-dependent-mass in plane polar coordinates is obtained. The separability of the corresponding Schrodinger equation is discussed. A hypothetical toy model is reported and two exactly ...