arXiv subjects

Kushagra Nigam

Publications and source records attributed to Kushagra Nigam.

2 recordsLinked to original sources

arXiv2016

Quantum Dynamics of Complex Hamiltonians

Non hermitian Hamiltonians play an important role in the study of dissipative quantum systems. We show that using states with time dependent normalization can simplify the description of such systems especially in the context of the classical limit. We apply this prescription to study the damped harmonic oscillator system. This is then used to study the problem of radiation in leaky cavity.

quant-ph↗

arXiv2016

A Brief Review of Helmholtz Conditions

It is well known that the equations of motion obtained from Newtons second law of motion can be obtained from a Lagrangian via the Euler-Lagrangian formulation if and only if the equations of motion satisfy the Helmholtz conditions. In this pedagogical article we give a simple proof of the above statement and show its application to simple mechanical and dissipative systems.

math-ph↗