Non-hermitian models in higher dimensions (2008)
It is know that PT-symmetric models have real spectra provided the symmetry is not spontaneously broken. Even pseudo-hermitian models have real spectra, which enlarge the the class of non-hermitian...
Hydrino like states in graphene and Aharonov-Bohm field (2008)
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...
Normal mode analysis for scalar fields in BTZ black hole background (2008)
Chakrabarti, Sayan K, Giri, Pulak Ranjan, Gupta, Kumar S.
We analyze the possibility of inequivalent boundary conditions for a scalar field propagating in the BTZ black hole space-time. We find that for certain ranges of the black hole parameters, the...
Non-Hermitian quantum mechanics in non-commutative space (2008)
We study non Hermitian quantum systems in noncommutative space as well as a \cal{PT}-symmetric deformation of this space. Specifically, a \mathcal{PT}-symmetric harmonic oscillator together with...
Conformal anomaly in non-hermitian quantum mechanics (2008)
A model of an electron and a Dirac monopole interacting through an axially symmetric non-hermitian but \mathcal{PT}-symmetric potential is discussed in detail. The intriguing localization of the...
Noncommutative oscillator, symmetry and Landau problem (2008)
Isotropic oscillator on a plane is discussed where both the coordinate and momentum space are considered to be noncommutative. We also discuss the symmetry properties of the oscillator for three...
Inverse square problem and so(2,1) symmetry in noncommutative space (2008)
We study the quantum mechanics of a system with inverse square potential in noncommutative space. Both the coordinates and momentums are considered to be noncommutative, which breaks the original...
Localization at threshold in noncommutative space (2008)
The ground state energy of a scale symmetric system usually does not possess any lower bound, thus making the system quantum mechanically unstable. Self-adjointness and renormalization techniques...
Quantization of exciton in magnetic field background (2007)
Giri, Pulak Ranjan, Chakrabarti, S. K.
The possible mismatch between the theoretical and experimental absorption of the edge peaks in semiconductors in a magnetic field background may arise due to the approximation scheme used to...
Inequivalent quantization in the field of a ferromagnetic wire (2007)
We argue that it is possible to bind neutral atom (NA) to the ferromagnetic wire (FW) by inequivalent quantization of the Hamiltonian. We follow the well known von Neumann's method of self-adjoint...
Quantization of neutron in Earth's gravity (2007)
Gravity is the weakest of all four known forces in the universe. Quantum states of an elementary particle due to such a weak field is certainly very shallow and would therefore be an experimental...
Hidden scale in quantum mechanics (2007)
We show that the intriguing localization of a free particle wave-packet is possible due to a hidden scale present in the system. Self-adjoint extensions (SAE) is responsible for introducing this...
Lower bound of minimal time evolution in quantum mechanics (2007)
We show that the total time of evolution from the initial quantum state to final quantum state and then back to the initial state, i.e., making a round trip along the great circle over S^2, must have...
Atom capture by nanotube and scaling anomaly (2007)
The existence of bound state of the polarizable neutral atom in the inverse square potential created by the electric field of single walled charged carbon nanotube (SWNT) is shown to be theoretically...
Optimal time evolution in (non)hermitian quantum mechanics (2007)
This paper has been withdrawn by the author
Dipole binding in a cosmic string background due to quantum anomalies (2007)
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...
Scaling anomaly in cosmic string background (2007)
We show that the classical scale symmetry of a particle moving in cosmic string background is broken upon inequivalent quantization of the classical system, leading to anomaly. The consequence of...
Electron Capture and Scaling Anomaly in Polar Molecules (2007)
Giri, Pulak Ranjan, Gupta, Kumar S., Meljanac, S., Samsarov, A.
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 possible for...
Supersymmetric quantum mechanical generalized MIC-Kepler system (2006)
We construct supersymmetric (SUSY) generalized MIC-Kepler system and show that the systems with half integral Dirac quantization condition \mu= \pm{1/2}, \pm{3/2}, \pm{5/2},..... belong to a SUSY...
We perform a 1-parameter family of self-adjoint extensions characterized by the parameter $\omega_0$. This allows us to get generic boundary conditions for the quantum oscillator on $N$ dimensional...
Asymptotic quasinormal modes of a noncommutative geometry inspired Schwarzschild black hole (2006)
We study the asymptotic quasi-normal modes for the scalar perturbation of the non-commutative geometry inspired Schwarzschild black hole in (3+1) dimensions. We have considered $M\geq M_0$, which...
Self-Adjointness of Generalized MIC-Kepler System (2006)
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 \tilde l=0, the system...
Generalized Solutions for Quantum Mechanical Oscillator on K\"{a}hler Conifold (2006)
We study the possible generalized boundary conditions and the corresponding solutions for the quantum mechanical oscillator model on K\"{a}hler conifold. We perform it by self-adjoint extension of...
Dirac spinors in solenoidal field and self adjoint extensions of its Hamiltonian (2005)
We discuss Dirac equation (DE) and its solution in presence of solenoid (infinitely long) field in (3+1) dimensions. Starting with a very restricted domain for the Hamiltonian, we show that a...