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It is shown that, under certain boundary conditions, the virial theorem has to be modified. We analyze the origin of the extra term and compute it for particular examples. The Coulomb and harmonic… (More)

Abstract
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 be… (More)

AbstractA recent investigation of the possibility of having a
$\mathcal{PT}$
-symmetric periodic potential in an optical lattice stimulated the urge to generalize non-hermitian quantum mechanics… (More)

A model of an electron and a Dirac monopole interacting in an axially symmetric non-Hermitian but -symmetric potential is discussed in detail. The intriguing localization of the wave-packet is… (More)

We study the dynamics of fermions on graphene in presence of Coulomb impurities and Aharonov-Bohm field. Special emphasis is given to the formation of hydrino like states and its lifting of… (More)

We have studied the self-adjointness of generalized MIC-Kepler Hamiltonian, obtained from the formally self-adjoint generalized MIC-Kepler Hamiltonian. We have shown that for l̃ = 0, the system… (More)

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 restored even in the… (More)

We study the asymptotic quasinormal modes for the scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole in 3+1 dimensions. We have considered M ≥ M0, which effectively… (More)

Every solution of the Bethe-ansatz equations (BAEs) is characterized by a set of quantum numbers, by which we can evaluate it numerically. However, no general rule is known how to give quantum… (More)

The Institute of Mathematical Science, CIT Campus, Taramani, Chennai 600113, India(Dated: December 30, 2008)We consider both the co-ordinates and momenta to be non-commutative and deﬁne a… (More)