Pulak Ranjan Giri

Electron capture and scaling anomaly in polar molecules

Abstract We present a new analysis of the electron capture mechanism in polar molecules, based on von Neumanns theory of self-adjoint extensions. Our analysis suggests that it is theoretically possible for polar molecules to form bound states with electrons, even with dipole moments smaller than the critical value D 0 = 1.63 × 10 −18 esu cm . We argue that the quantum mechanical scaling anomaly is responsible for the formation of these bound states.

The non-commutative oscillator, symmetry and the Landau problem

AbstractThe isotropic oscillator on a plane is discussed where the coordinate and momentum space are both considered to be non-commutative. We also discuss the symmetry properties of the oscillator for three separate cases when the non-commutative parameters Θ and

Atom Capture by Nanotube and Scaling Anomaly

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Dipole binding in a cosmic string background due to quantum anomalies

for x and p-space, respectively, satisfy specific relations. We compare the Landau problem with the isotropic oscillator on non-commutative space and obtain a relation between the two non-commutative parameters and the magnetic field of the Landau problem.

Non-hermitian quantum mechanics in non-commutative space

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 theoretically possible. The consideration of inequivalent boundary conditions due to self-adjoint extensions lead to this nontrivial bound state solution. It is also shown that the scaling anomaly is responsible for the existence of such bound state. Binding of the polarizable atoms in the coupling constant interval η2∈[0,1) may be responsible for the smearing of the edge of steps in quantized conductance, which has not been considered so far in the literature.

Scalar field dynamics in warped AdS3 black hole background

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 presence of dipole moment of the particle. However, we show that the classical scale symmetry is broken due to inequivalent quantization of the nonrelativistic system. The consequence of this quantum anomaly is the formation of a bound state in the interval {xi} is a member of (-1,1). The inequivalent quantization is characterized by a one-parameter family of self-adjoint extension parameter {sigma}. We show that within the interval {xi} is a member of (-1,1), a cosmic string with zero radius can bind the dipole and the dipole does not fall into the singularity.

Non self-conjugate strings, singular strings and rigged configurations in the Heisenberg model

AbstractA recent investigation of the possibility of having a

SUPERSYMMETRIC QUANTUM MECHANICAL GENERALIZED MIC–KEPLER SYSTEM

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ASYMPTOTIC QUASINORMAL MODES OF A NONCOMMUTATIVE GEOMETRY INSPIRED SCHWARZSCHILD BLACK HOLE

-symmetric periodic potential in an optical lattice stimulated the urge to generalize non-hermitian quantum mechanics beyond the case of commutative space. We thus study non-hermitian quantum systems in non-commutative space as well as a

Normal-mode analysis for scalar fields in BTZ black-hole background

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