44 citations · 106 across the 7 of their papers we have counts for
7 papers
Pseudo Hermitian formulation of Black-Scholes equation
T. K. Jana, P. Roy
We show that the non Hermitian Black-Scholes Hamiltonian and its various generalizations are eta-pseudo Hermitian. The metric operator eta is explicitly constructed for this class…
Reply to Comment on "Non Hermitian Quantum Mechanics with Minimal Length Uncertainty", arXiv:0908.2341
T. K. Jana, P. Roy
It is shown that the results of ref [1] are consistent.
Potential algebra approach to position dependent mass Schroedinger equation
T. K. Jana, P. Roy
It is shown that for a class of position dependent mass Schroedinger equation the shape invariance condition is equivalent to a potential symmetry algebra. Explicit realization of…
Exact solution of the Klein Gordon equation in the presence of a minimal length
T. K. Jana, P. Roy
We obtain exact solutions of the (1+1) dimensional Klein Gordon equation with linear vector and scalar potentials in the presence of a minimal length. Algebraic approach to the pro…
A class of exactly solvable Schroedinger equation with moving boundary conditions
T. Jana, P. Roy
Using first and second order supersymmetry formalism we obtain a class of exactly solvable potentials subject to moving boundary conditions.
Higher order intertwining approach to quasinormal modes
T. Jana, P. Roy
Using higher order intertwining operators we obtain new exactly solvable potentials admitting quasinormal mode (QNMs) solutions of the Klein-Gordon equation. It is also shown that…