One-dimensional model of a quantum nonlinear harmonic oscillator

Details One-dimensional model of a quantum nonlinear harmonic oscillator One-dimensional model of a quantum nonlinear harmonic oscillator

2005-01-14

arxiv.org/abs/hep-th/0501106v1

Rept.Math.Phys. 54 (2004) 285

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In this paper we study the quantization of the nonlinear oscillator introduced by Mathews and Lakshmanan. This system with position-dependent mass allows a natural quantization procedure and is shown to display shape invariance. Its energy spectrum is found by factorization. The linear harmonic oscillator appears as the $\lambda\to 0$ limit of this nonlinear oscillator, whose energy spectrum and eigenfunctions are compared to the linear ones.

Affiliated with

Also associated with

No associations

Rating

One-dimensional model of a quantum nonlinear harmonic oscillator 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 One-dimensional model of a quantum nonlinear harmonic oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-dimensional model of a quantum nonlinear harmonic oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87901