Nonlinear Oscillator Hamiltonian from Nonlinear Differential Equation and Calculation of Accurate Energy Levels

2014/12/22 by Biswanath Rath, Rath, Biswanath, P. Mallick +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1412.7984

7 pages, 3 tables

arxiv created 2014/12/22 · arxiv updated 2014/12/30

Abstract

A new method for generating analytical expression of quantum Hamiltonian from non-linear differential equation with stationary energy level has been formulated.Further calculation of energy levels have been carried out analytically using and numerically using matrix diagonalisation method.

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