4 papers
Magnetic flux and its topological effects in Aharonov-Bohm effect
Manvendra Somvanshi, D. Jaffino Stargen
The Aharonov-Bohm effect is a physical phenomenon in which the quantum state of a charged particle acquires a phase shift that is directly proportional to the magnetic flux, ,…
Hatcher-Thurston complex for surfaces with non-planar ends
Manvendra Somvanshi
In this paper, for each , we define a complex for an infinite-type surface with non-planar ends, which serves as an analog of the Hatcher-Thurston co…
Group theoretic quantization of punctured plane
Manvendra Somvanshi, D. Jaffino Stargen
We quantize punctured plane, , employing Isham's group theoretic quantization procedure. After sketching out a brief review of group theoretic quantization pr…
Minimising length of closed billiard trajectories on hyperbolic polygons
John Parker, Manvendra Somvanshi
In a hyperbolic polygon any finite collection of closed billiard trajectories can be assigned an average length function. In this paper, we consider the average length of the colle…