Jagmeet Singh
Articles written in Pramana – Journal of Physics
Volume 47 Issue 3 September 1996 pp 199-210
Stochastic motion of a charged particle in a magnetic field: I Classical treatment
Jagmeet Singh Sushanta Dattagupta
We study the dissipative, classical dynamics of a charged particle in the presence of a magnetic field. Two stochastic models are employed, and a comparative analysis is made, one based on diffusion processes and the other on jump processes. In the literature on collision-broadening of spectral lines, these processes go under the epithet of weak-collision model and Boltzmann-Lorentz model, respectively. We apply our model calculation to investigate the effect of magnetic field on the collision-broadened spectral lines, when the emitter carries an electrical charge. The spectral lines show narrowing as the magnetic field is increased, the narrowing being sharper in the Boltzmann-Lorentz model than in the weak collision model.
Volume 47 Issue 3 September 1996 pp 211-224
Stochastic motion of a charged particle in a magnetic field: II Quantum Brownian treatment
Sushanta Dattagupta Jagmeet Singh
We study the quantum Brownian motion of a charged particle in the presence of a magnetic field. From the explicit solution of a quantum Langevin equation we calculate quantities such as the velocity correlation function and the mean-squared displacement. Our calculated expressions contain as special cases the motion of a
Volume 53 Issue 5 November 1999 pp 807-813 Research Articles
Adiabatic anholonomy and canonical transformations
Biswas and Soni [4] have surmised a semiclassical formula for Berry’s phase in terms of a generating function. We derive this formula apart from showing that it is not true in general and investigate its domain of validity. We also derive transformation formulae for Berry’s phase (Hannay’s angle) under general canonical transformations. A simpler proof for total angle invariance than hitherto available, is given.
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