6 papers
Solving Single and Many-body Quantum Problems: A Novel Approach
N. Gurappa, Prasanta K. Panigrahi, R. Atre +1
A unified approach, for solving a wide class of single and many-body quantum problems, commonly encountered in literature is developed based on a recently proposed method for findi…
Linear Differential Equations and Orthogonal Polynomials: A Novel Approach
N. Gurappa, Prasanta K. Panigrahi, T. Shreecharan
A novel method, connecting the space of solutions of a linear differential equation, of arbitrary order, to the space of monomials, is used for exploring the algebraic structure of…
A Study of Quantum Many-Body Systems With Nearest And Next-to-Nearest Neighbour Long-Range Interactions
Meripeni Ezung, N. Gurappa, Avinash Khare +1
The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent…
Equivalence of the Sutherland Model to Free Particles on a Circle
N. Gurappa, Prasanta K. Panigrahi
A method is developed to construct the solutions of one and many variable, linear differential equations of arbitrary order. Using this, the -particle Sutherland model, with pai…
A Unified Algebraic Approach to Few and Many-Body Hamiltonians having Linear Spectra
N. Gurappa, Prasanta K. Panigrahi, T. Soloman Raju
We develop an algebraic approach for finding the eigenfunctions of a large class of few and many-body Hamiltonians, in one and higher dimensions, having linear spectra. The method…
Mapping of the -type Calogero-Sutherland-Moser system to decoupled Harmonic Oscillators
N. Gurappa, Prasanta. K. Panigrahi
The -type Calogero-Sutherland-Moser system in one-dimension is shown to be equivalent to a set of decoupled oscillators by a similarity transformation. This result is used to…