Ground state Energy Spectrum of One-Dimensional Pure Quantum Anharmonic Oscillators using Variation Principle

Shivalingaswamy. T , Vanaja J. P. , Hemavathi S. , Kavya J. , Gururaja H.S

Govt. College (Autonomous), Mandya. Affiliated to university of Mysore

We use Rayleigh-Ritz variational method to calculate the ground state energy eigenvalues of pure quantum anharmonic oscillators using appropriate asymptotic wave functions suggested by Ginsberg and Montroll, which requires a simple mathematical calculation. The eigenvalues obtained in this case are in excellent agreement with those values obtained by Ginsberg and Montroll, Hioe and Montroll, Pasupathy and Singh through their elaborated interpolation methods.