We present a new analysis of the electron capture mechanism in polar molecules, based on
von Neumann's theory of self-adjoint extensions. Our analysis suggests that it is theoretically …

The family of metric operators, constructed by Musumbu et al (2007 J. Phys. A: Math. Theor.
40 F75), for a harmonic oscillator Hamiltonian augmented by a non-Hermitian-symmetric …

In this paper, we quantize superconformal σ models defined by worldline supermultiplets.
Two types of superconformal mechanics, with and without a De Alfaro Fubini Furlan (DFF) …

We obtain a bound-state spectrum of low-energy excitations near the Fermi points of gapped
graphene in the presence of a charge impurity. The effects of possible short-range …

A unitary transformation which relates a many-body quantum mechanics with N= 2
Schrödinger supersymmetry to a set of decoupled superparticles is proposed. The …

We propose quantum dynamics for the dipole moving in cosmic string background and show
that the classical scale symmetry of a particle moving in cosmic string background is still …

The existence of bound state of the polarizable neutral atom in the inverse square potential
created by the electric field of a single walled charged carbon nanotube (SWNT) is shown to …

We systematically formulate a hierarchy of isospectral Hamiltonians in one-dimensional
supersymmetric quantum mechanics on an interval and on a circle, in which two successive …

We show that the N-particle Sutherland model with inverse-square and harmonic
interactions exhibits orthogonality catastrophe. For a fixed value of the harmonic coupling …

This work is devoted to the study of some exactly solvable quantum problems of four, five
and six bodies moving on the line. We solve completely the corresponding stationary …