Sudhir R Jain
Articles written in Pramana – Journal of Physics
Volume 48 Issue 2 February 1997 pp 503-516 Quantum Aspects Of Chaos
Semiclassical theory for many-body fermionic systems
We present a treatment of many-body fermionic systems that facilitates an expression of well-known quantities in a series expansion in
Volume 54 Issue 3 March 2000 pp 413-422 Research Articles
Random matrix model for disordered conductors
We present a random matrix ensemble where real, positive semi-definite matrix elements,
Volume 57 Issue 2-3 August 2001 pp 263-269
An empirical approach to the theory of particle and nuclear phenomena: Review and some new ideas
Experimental data on masses and lifetimes of unstable particles falls into a pattern, a brief review of some interesting consequences is presented here. From the experience in semiclassical methods and recent advances in quantum chromodynamics, it is proposed that an appropriate generalization of the Gutzwiller trace formula for field theories may lead to a systematic semiclassical chromodynamics theory. The theory can be developed to get appropriate dynamics leading to an explanation of pattern discovered in the empirical data.
Volume 57 Issue 2-3 August 2001 pp 571-584
Quantum chaos, thermalization and dissipation in nuclear systems
Nuclei have complex energy-level sequence with statistical properties in agreement with canonical random matrix theory. This agreement appears when the one-particle one-hole states are mixed completely with two-particle two-hole states. In the transition, there is a new universality which we present here, bringing about a relation between dynamics and statistics. We summarize also the role of chaos in thermalization and dissipation in isolated systems like nuclei. The methods used to bring forth this understanding emerge from random matrix theory, semiclassical physics, and the theory of dynamical systems.
Volume 89 Issue 3 September 2017 Article ID 0035 Research Article
Raising and lowering operators for quantum billiards
AYUSH KUMAR MANDWAL SUDHIR R JAIN
For planar integrable billiards, the eigenstates can be classified with respect to a quantity determined by the quantum numbers. Given the quantum numbers as $m$, $n$, the index which represents a class is $c = m$ mod $kn$ for a natural number, $k$. We show here that the entire tower of states can be generated from an initially given state by the application of the operators introduced here. Thus, these operators play the same role for billiards as raising and lowering operators in angular momentum algebra.
Volume 91 Issue 3 September 2018 Article ID 0040 Research Article
K ANGELIN JEBA M M LATHA SUDHIR R JAIN
By proposing a model Hamiltonian in the first quantised form we investigate the chaotic dynamics of $\alpha$-helical proteins by taking into account the quadrupole–quadrupole-type interaction. The dynamics is studied byderiving Hamilton’s equations of motion and by plotting the time-series evolution and phase-space trajectories. Chaotic trajectories are observed in the phase-space plots. The effect of the interaction parameters on the stabilityof proteins is also discussed.
Volume 92 Issue 4 April 2019 Article ID 0047 Research Article
A $\mathcal{PT}$ -symmetric simple harmonic oscillator
We consider a simple harmonic oscillator with non-Hermitian term and study it classically and quantummechanically. We conclude that this version of oscillator, which breaks parity and time reversal, displays all thefeatures possessed by the usual harmonic oscillator. In particular, we calculate its spectrum, adiabatic invarianceand Wigner functions, and show that there is a consistency between the classical and quantum descriptions.
Volume 95, 2021
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