158 citations · 1.8k across the 69 of their papers we have counts for
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On the Real Spectra of Calogero Model with Complex Coupling
Pijush K. Ghosh, Kumar S. Gupta
We study the eigenvalue problem of the rational Calogero model with the coupling of the inverse-square interaction as a complex number. We show that although this model is manifest…
Quantum Inverse Square Interaction
Kumar S. Gupta
Hamiltonians with inverse square interaction potential occur in the study of a variety of physical systems and exhibit a rich mathematical structure. In this talk we briefly mentio…
Near-Horizon States of Black Holes and Calogero Models
B Basu-Mallick, Pijush K. Ghosh, Kumar S. Gupta
We find self-adjoint extensions of the rational Calogero model in presence of the harmonic interaction. The corresponding eigenfunctions may describe the near-horizon quantum state…
Hidden Degeneracy in the Brick Wall Model of Black Holes
Kumar S. Gupta, Siddhartha Sen
Quantum field theory in the near-horizon region of a black hole predicts the existence of an infinite number of degenerate modes. Such a degeneracy is regulated in the brick wall m…