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- S.N. Bose National Centre for Basic SciencesIN60 papers
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27 papers · 1 filter
New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
Anjana Sinha, Pinaki Roy
We examine in detail the possibilty of applying Darboux transformation to non Hermitian hamiltonians. In particular we propose a simple method of constructing exactly solvable PT s…
Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
Choon-Lin Ho, Pinaki Roy
We demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasi-exactly solvable syst…
Generation of exactly solvable non-Hermitian potentials with real energies
Anjana Sinha, Pinaki Roy
A series of exactly solvable non-trivial complex potentials (possessing real spectra) are generated by applying the Darboux transformation to the excited eigenstates of a non-Hermi…
Very smooth points of spaces of operators
T. S. S. R. K. Rao
In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when the space of compact operators is an -ideal in the spa…
Planck Scale Physics, Pregeometry and the Notion of Time
S. Roy
Recent progress in quantum gravity and string theory has raised interest among scientists to whether or not nature behaves discretely at the Planck scale. There are two attitudes t…
Novel Families of Fractional Quantum Hall States : A Berry Phase Approach
B. Basu, P. Bandyopadhyay
We have studied here the newly observed families of fractional quantum Hall states in the framework of Berry phase. It has been shown that this approach embraces in a unified way t…