32 citations · 52 across the 9 of their papers we have counts for
9 papers
Lévy-Leblond Equation and Eisenhart-Duval lift in Koopman-von Neumann Mechanics
Bikram Keshari Parida, Abhijit Sen, Shailesh Dhasmana +1
The Koopman-von Neumann (KvN) mechanics is an approach that was formulated long ago to answer the question regarding the existence of a Hilbert space representation of classical me…
Do moving clocks slow down?
Abdaljalel Alizzi, Abhijit Sen, Zurab K. Silagadze
The special theory of relativity has fundamentally changed our views of space and time. The relativity of simultaneity in particular, and the theory of relativity as a whole, still…
Eisenhart lift of Koopman-von Neumann mechanics
Abhijit Sen, Bikram Keshari Parida, Shailesh Dhasmana +1
The Eisenhart lift establishes a fascinating connection between non-relativistic and relativistic physics, providing a space-time geometric understanding of non-relativistic Newton…
Equivalence of a harmonic oscillator to a free particle and Eisenhart lift
Shailesh Dhasmana, Abhijit Sen, Z. K. Silagadze
It is widely known in quantum mechanics that solutions of the Schröinger equation (SE) for a linear potential are in one-to-one correspondence with the solutions of the free SE. Th…
Quasi-Exact Solvability and Deformations of Sl(2) Algebra
Arunesh Roy, Abhijit Sen, Prasanta K. Panigrahi
Algebraic structure of a class of differential equations including Heun is shown to be related with the deformations of sl(2) algebra. These include both quadratic and cubic ones.…
Solving Linear Differential Equations: A Novel Approach
N. Gurappa, Abhijit Sen, Rajneesh Atre +1
We explicate a procedure to solve general linear differential equations, which connects the desired solutions to monomials x^m of an appropriate degree m. In the process the underl…