Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form

Details Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form

2010-03-03

arxiv.org/abs/1003.0717v1

Physics

Quantum Physics

7 pages

Scientific paper

The Schr\"{o}dinger equation and ladder operators for the harmonic oscillator are shown to simplify through the use of an isometric conformal transformation. These results are discussed in relation to the Bargmann representation. It is further demonstrated that harmonic interactions can be introduced into quantum mechanics as an imaginary component of time equivalent to adding the oscillator potential into the hamiltonian for the confined particle.

Affiliated with

Also associated with

No associations

Rating

Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form 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 Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Transformation of the Schrödinger Equation for the Harmonic Oscillator into a Simpler Form will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683899