77 citations · 279 across the 22 of their papers we have counts for
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Exactly solvable systems and the Quantum Hamilton-Jacobi formalism
Constantin Rasinariu, John J. Dykla, Asim Gangopadhyaya +1
We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translat…
New Solvable Singular Potentials
R. Dutt, A. Gangopadhyaya, C. Rasinariu +1
We obtain three new solvable, real, shape invariant potentials starting from the harmonic oscillator, Pöschl-Teller I and Pöschl-Teller II potentials on the half-axis and extending…
Baxter T-Q Equation for Shape Invariant Potentials. The Finite-Gap Potentials Case
Ovidiu Lipan, Constantin Rasinariu
The Darboux transformation applied recurrently on a Schroedinger operator generates what is called a {\em dressing chain}, or from a different point of view, a set of supersymmetri…
Exactly solvable models of supersymmetric quantum mechanics and connection to spectrum generating algebra
A. Gangopadhyaya, J. V. Mallow, C. Rasinariu +1
For nonrelativistic Hamiltonians which are shape invariant, analytic expressions for the eigenvalues and eigenvectors can be derived using the well known method of supersymmetric q…
Algebraic Shape Invariant Models
S. Chaturvedi, R. Dutt, A. Gangopadhyaya +3
Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of paramet…
Manifestly Supersymmetric Lax Integrable Hierarchies
H. Aratyn, C. Rasinariu
A systematic method of constructing manifestly supersymmetric -dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eig…