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

Biswanath Rath; P. Mallick

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arXiv · 1412.7984

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

Biswanath Rath·P. Mallick

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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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Biswanath Rath, P. Mallick. 2014-12-22. Nonlinear Oscillator Hamiltonian from Nonlinear Differential Equation and Calculation of Accurate Energy Levels. https://arxiv.org/abs/1412.7984

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