Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism

Details Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism

2002-11-26

arxiv.org/abs/quant-ph/0211168v5

Mod. Phys. Lett. A. Vol 19, No. 19, (2004) 1457

Physics

Quantum Physics

replaced with the journal version

Scientific paper

10.1142/S0217732304013799

The bound state wave functions for a wide class of exactly solvable potentials are found utilizing the quantum Hamilton-Jacobi formalism. It is shown that, exploiting the singularity structure of the quantum momentum function, until now used only for obtaining the bound state energies, one can straightforwardly find both the eigenvalues and the corresponding eigenfunctions. After demonstrating the working of this approach through a number of solvable examples, we consider Hamiltonians, which exhibit broken and unbroken phases of supersymmetry. The natural emergence of the eigenspectra and the wave functions, in both the unbroken and the algebraically non-trivial broken phase, demonstrates the utility of this formalism.

Affiliated with

Also associated with

No associations

Rating

Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism 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 Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-173052