Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point

Details Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point

1994-04-26

arxiv.org/abs/hep-th/9404161v1

J.Phys. A28 (1995) 1727-1736

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTex, UUITP 9/94

Scientific paper

10.1088/0305-4470/28/6/024

A formal uniform asymptotic solution of the system of differential equations $ h^{2}\frac{d^{2}U_{1}}{dz^{2}}+\Phi_{1} U_{1}=\alpha U_{2} $ , $ h^{2}\frac{d^{2}U_{2}}{dz^{2}}+\Phi_{2} U_{2}=\alpha U_{1}$ , for $ z\in D$ and for h real, large is obtained, when D contains curve-crossing point. Asymptotic approximations for the solutions are constructed in terms of parabolic cylinder functions. Analytical properties of the expansion's coefficients are investigated.The case of potantial barier is also considered.

Affiliated with

Also associated with

No associations

Rating

Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point 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 Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniform Asymptotic Solutions of a System of two Schrödinger Equations with Potential-Curve-Crossing Point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-262503