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Showing 2015 · hep-thShow all
3 papers · 2 filters
hep-th2015★ 14 cited
Particle on a Torus Knot: Constrained Dynamics and Semi-Classical Quantization in a Magnetic Field
Praloy Das, Souvik Pramanik, Subir Ghosh
Kinematics and dynamics of a particle moving on a torus knot poses an interesting problem as a constrained system. In the first part of the paper we have derived the modified sympl…
hep-th2015★ 3 cited
Particle on a torus knot: a Hamiltonian analysis
Praloy Das, Subir Ghosh
We have studied the dynamics and symmetries of a particle constrained to move in a torus knot. The Hamiltonian system turns out to be Second Class in Dirac's formulation and the Di…
hep-th2015★ 7 cited
Quantum phase transitions of the Dirac oscillator in the Anti-Snyder model
M. Presilla, O. Panella, P. Roy
We obtain exact solutions of the (2+1) dimensional Dirac oscillator in a homogeneous magnetic field within the Anti-Snyder modified uncertainty relation characterized by a momentum…