Supersymmetry, factorisation of the schrodinger equation and a hamiltonian hierarchy
Journal of Physics A: Mathematical and General 18:2 (1985) L57-L61
Abstract:
We present a systematic procedure for constructing a hierarchy of non-relativistic Hamiltonians with the property that the adjacent members of the hierarchy are ‘supersymmetric partners’ i.e. they share the same eigenvalue spectrum except for the ‘missing’ ground state and the eigenvectors are simply related. © 1985 The Institute of Physics.Path integral method for inelastic scattering-a modified Pechukas approach
Journal of Physics G: Nuclear Physics 10:1 (1984) 81-89
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.Solution of the Heisenberg equations for an atom interacting with radiation
Journal of Physics A: General Physics 17:4 (1984) 877-883
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.Some soluble models for periodic decay and revival
Journal of Physics A: General Physics 17:4 (1984) 885-894
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.Quantization through wave-packet coupling between the classically allowed and forbidden regions
Physics Letters B 134:6 (1984) 383-386