Dr Candadi V Sukumar

Abstract:

A new derivation of correction terms to the primitive semiclassical amplitude for multiple inelastic scattering is presented. It is shown that a modification of the path integral method used by Pechukas yields correction terms in agreement with the results obtained in a recent paper by Sukumar and Brink.

Abstract:

It is shown that the nonlinear equation of motion for the energy operator of a few-level atom interacting with a single mode radiation field can be solved explicitly.

Abstract:

The authors present three analytically tractable models for a two-level atom interacting with a coherent or thermal radiation field and study the behaviour of the atomic excitation energy for various initial conditions.

Abstract:

The projectors P ̂ and Q ̂ are associated to the classically forbidden and allowed regions, respectively. A finite rank algorithm provides the propagator (E - Q ̂ H ̂ Q ̂)-1. A generalized connection between a Bohr-Sommerfeld-like rule and the Bloch-Horowitz theory is found. © 1984.

Abstract:

Corrections to the primitive semi-classical amplitude for multiple inelastic scattering are obtained from a path integral formulation of scattering theory. The path integrals are calculated by making an expansion about a classical orbit describing elastic scattering. Terms are collected to give a series in inverse powers of the reduced mass m of relative motion of the target and projectile. The leading term is the primitive semi-classical amplitude for multiple excitation and explicit formulae are given for the corrections of order 1 m. These are calculated in detail for a one-dimensional model. It is shown that some, but not all, of the corrections can be included by evaluating the primitive amplitude with a symmetrized orbit. © 1983.