Quantum phase transitions of the Dirac oscillator in the anti-Snyder model
M Presilla, O Panella, P Roy - Physical Review D, 2015 - APS
M Presilla, O Panella, P Roy
Physical Review D, 2015•APSWe 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 cutoff (p≤ p max= 1/β). In ordinary quantum mechanics (β→ 0) this system is
known to have a single left-right chiral quantum phase transition (QPT). We show that a finite
momentum cutoff modifies the spectrum introducing additional quantum phase transitions. It
is also shown that the presence of momentum cutoff modifies the degeneracy of the states.
magnetic field within the anti-Snyder modified uncertainty relation characterized by a
momentum cutoff (p≤ p max= 1/β). In ordinary quantum mechanics (β→ 0) this system is
known to have a single left-right chiral quantum phase transition (QPT). We show that a finite
momentum cutoff modifies the spectrum introducing additional quantum phase transitions. It
is also shown that the presence of momentum cutoff modifies the degeneracy of the states.
We obtain exact solutions of the () dimensional Dirac oscillator in a homogeneous magnetic field within the anti-Snyder modified uncertainty relation characterized by a momentum cutoff (). In ordinary quantum mechanics () this system is known to have a single left-right chiral quantum phase transition (QPT). We show that a finite momentum cutoff modifies the spectrum introducing additional quantum phase transitions. It is also shown that the presence of momentum cutoff modifies the degeneracy of the states.
American Physical Society