M Seetharaman
Articles written in Pramana – Journal of Physics
Volume 13 Issue 2 August 1979 pp 173-181 Nuclear And Particle Physics
M Seetharaman T R Govindarajan P M Mathews
We study the problem of a possible change in the number of constraints in linear relativistic wave equations (-
Volume 17 Issue 2 August 1981 pp 121-134 Quantum Mechanics
On the energy spectra of one-dimensional anharmonic oscillators
P M Mathews M Seetharaman Sekhar Raghavan V T A Bhargava
In this paper we present explicit and simple analytical formulae for the energy eigenvalues
Volume 24 Issue 5 May 1985 pp 695-699 Quantum Mechanics
Exact energy eigenvalues by summation of the
M Seetharaman S S Vasan S Ravichandran
For the potential
Volume 32 Issue 2 February 1989 pp 99-105 Mathematical Physics
Determination of eigenvalues of real symmetric para-
V T A Bhargava P M Mathews M Seetharaman
A method is presented for an accurate numerical determination of eigenvalues of real symmetric para-
Volume 32 Issue 2 February 1989 pp 107-115 Quantum Mechanics
Anharmonic oscillators in higher dimension: Accurate energy eigenvalues and matrix elements
V T A Bhargava P M Mathews M Seetharaman
Energy eigenvalues and matrix elements of various anharmonic oscillators are determined to a high accuracy by applying a method for determining the eigenvalues and eigenvectors of real symmetric para-
Volume 32 Issue 6 June 1989 pp 845-845 Erratum
Anharmonic oscillators in higher dimension: Accurate energy eigenvalues and matrix elements
Volume 38 Issue 1 January 1992 pp 1-10
Relation between Green’s functions for different potentials
S S Vasan M Seetharaman K Raghunathan
A general relation between the energy-dependent Green’s functions for different potentials is derived in a simple and direct manner. This interesting connection enables the eigenstates of one physical system to be deduced from those of a related system. The derivation is based on the Schrödinger equation and provides an independent justification for the technique of path-dependent time transformation used in path integration.
Volume 40 Issue 1 January 1993 pp 1- Rapid Communication
On the solution of an anisotropic nonquadratic potential
S S Vasan M Seetharaman K Raghunathan
The Schrodinger-Green function is constructed for an anisotropic non-quadratic potential which has been studied in recent literature. The eigen energies and wavefunctions are readily obtained. Our analysis shows that the wavefunctions given in earlier literature are incorrect and the source of the error is pointed out. A semiclassical treatment of the problem is also presented in support of some of our observations.
Volume 40 Issue 3 March 1993 pp 177-187
A JWKB analysis of the sextic anharmonic oscillator in d dimensions
S S Vasan M Seetharaman L Sushama
On the basis of a radial generalization of the JWKB quantization rule, which incorporates higher orders of the approximation, an explicit analytical formula is derived for the energy levels of the three-dimensional sextic anharmonic oscillator. The formula exhibits the scaling property of the exact eigenvalues, and is readily generalized to any dimension. The predicted results are in good agreement with known numerical values.
Volume 43 Issue 6 December 1994 pp 411-420
A new perturbative approach to the classical anharmonic oscillator
The periodic motion of the classical anharmonic oscillator characterized by the potential
Volume 45 Issue 2 August 1995 pp 165-174
The Coulomb Green’s function revisited
It is demonstrated how the energy-dependent Green’s function for the Schrödinger-Coulomb problem can be deduced from a knowledge of the harmonic oscillator time-propagator. All the known results of the Coulomb system are shown to be elegantly derivable from such a connection.
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