• Corpus ID: 118506194

# Square-Well Approximation for the Anharmonic and the Double-Well Oscillators

@article{Mahapatra2014SquareWellAF,
title={Square-Well Approximation for the Anharmonic and the Double-Well Oscillators},
author={B. P. Mahapatra and N. B. Pradhan},
journal={arXiv: Quantum Physics},
year={2014}
}
• Published 9 May 2014
• Physics
• arXiv: Quantum Physics
A novel general approximation scheme (NGAS) proposed earlier (ref.2-3) is applied to the problem of the quartic anharmonic (QAHO) and the double-well-oscillator (QDWO) in quantum theory by choosing the infinite square-well-potential in one dimension as the input approximation. The leading order (LO) results obtained for the energy eigen-values are uniformly accurate to within a few percent of the exact results for $arbitrary$ values of the quartic coupling: $\lambda > 0$ and the level-index…

## References

SHOWING 1-5 OF 5 REFERENCES
A new general approximation scheme(NGAS) in quantum theory:application to the anharmonic- and double well oscillators
• Physics
• 2004
A new scheme of approximation in quantum theory is proposed which is potentially applicable to arbtrary interacting systems. The method consists in in approximating the original Hamiltonian by one
Extension of the Feynman - Hellman Theorem and Applications ”
• Ann . Phys . ( N . Y )
• 2004