An anharmonic oscillator has the potential function V = 1/2.(k.x^2) + c.x^4 where c can be considered a sort of anharmonicity constant. Determine the energy correction to the ground state of the anharmonic oscillator in terms of c, assuming that H^° is the ideal harmonic oscillator Hamiltonian operator.

An anharmonic oscillator has the potential function V = 1/2.(k.x^2) + c.x^4 where c can be considered a sort of anharmonicity constant. Determine the energy correction to the ground state of the anharmonic oscillator in terms of c, assuming that H^° is the ideal harmonic oscillator Hamiltonian operator.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.1P

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