S S Vasan
Articles written in Pramana – Journal of Physics
Volume 24 Issue 5 May 1985 pp 695-699 Quantum Mechanics
For the potential
Volume 34 Issue 3 March 1990 pp 183-192
We show how the position and residue of the
Volume 38 Issue 1 January 1992 pp 1-10
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
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
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
The periodic motion of the classical anharmonic oscillator characterized by the potential
Volume 45 Issue 2 August 1995 pp 165-174
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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