Dipesh Bhandari

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20232026

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math-ph2026

Hyperbolic Completion of Newton's Off-Center Orbit Problem: Constant-Curvature Rigidity, $S O (2, 1)$ Symmetry, and Magnetic Uniqueness

Dipesh Bhandari

The hyperbolic potential $V (r) = - \frac{α}{( R ^{2} - r ^{2} ) ^{2}}$ was identified by Olshanii as the negative-curvature counterpart of Newton's off-center circular-orbit problem. We first sh…

math-ph2024

A Kac-Weyl Character Identity

Michael A. Baker, Dipesh Bhandari, Michael Crescimanno

An explicit quantization of Chern-Simons theory leads to an identity between sums of the Kac-Weyl characters. One can use this identity to prove inequalities that constrain the fus…

math-ph2023

Newton's Off-Center Circular Orbits and the Magnetic Monopole

Dipesh Bhandari, Michael Crescimanno

Introducing a radially dependent magnetic field into Newton's off-center circular orbits potential so as to preserve the $E = 0$ dynamical symmetry leads to a unique choice of field…

Hyperbolic Completion of Newton's Off-Center Orbit Problem: Constant-Curvature Rigidity, SO(2,1) Symmetry, and Magnetic Uniqueness

A Kac-Weyl Character Identity

Newton's Off-Center Circular Orbits and the Magnetic Monopole

Hyperbolic Completion of Newton's Off-Center Orbit Problem: Constant-Curvature Rigidity, $S O (2, 1)$ Symmetry, and Magnetic Uniqueness