3 papers
hep-th2020
The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
Arpan Bhattacharyya, Wissam Chemissany, S. Shajidul Haque +2
The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanic…
hep-th2019
Chaos and Complexity in Quantum Mechanics
Tibra Ali, Arpan Bhattacharyya, S. Shajidul Haque +3
We propose a new diagnostic for quantum chaos. We show that time evolution of complexity for a particular type of target state can provide equivalent information about the classica…
hep-th2018
Astrophysical Quantum Matter: Spinless charged particles on a magnetic dipole sphere
Jeff Murugan, Jonathan P. Shock, Ruach Pillay Slayen
We consider the quantum mechanics of a spinless charged particle on a 2-dimensional sphere. When threaded with a magnetic monopole field, this is the well-known Haldane sphere that…