Generalised quantum anharmonic oscillator using an operator ordering approach

Details Generalised quantum anharmonic oscillator using an operator ordering approach Generalised quantum anharmonic oscillator using an operator ordering approach

2002-06-02

arxiv.org/abs/math-ph/0206001v1

Physics

Mathematical Physics

9 pages, latex 2e, no figure Journal Reference: J. Phys. A 33 (2000) 5607-5613

Scientific paper

We construct a generalised expression for the normal ordering of (a+a^{\dagger})^{m} for integral values of m and use the result to study the quantum anharmonic oscillator problem in the Heisenberg approach. In particular, we derive generalised expressions for energy eigen values and frequency shifts for the Hamiltonian H=\frac{x^{2}}{2}+\frac{\dot{x}^{2}}{2}+\frac{\lambda}{m}x^{m}. We also derive a closed form first order multi scale perturbation theoretic operator solution of this Hamiltonian with a view to generalise some recent results of Bender and Bettencourt .

Affiliated with

Also associated with

No associations

Rating

Generalised quantum anharmonic oscillator using an operator ordering approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalised quantum anharmonic oscillator using an operator ordering approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalised quantum anharmonic oscillator using an operator ordering approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-619826