Physics – Quantum Physics
Scientific paper
2006-03-26
Physics
Quantum Physics
10 pages, 6 figures
Scientific paper
We present the quantum mechanics problem of the one-dimensional Schroedinger equation with the trigonometric Rosen-Morse potential. This potential is of possible interest to quark physics in so far as it captures the essentials of the QCD quark-gluon dynamics and (i) interpolates between a Coulomb-like potential (associated with one-gluon exchange) and the infinite wall potential (associated with asymptotic freedom), (ii) reproduces in the intermediary region the linear confinement potential (associated with multi-gluon self-interactions) as established by lattice QCD calculations of hadron properties. Moreover, its exact real solutions given here display a new class of real orthogonal polynomials and thereby interesting mathematical entities in their own.
Compean C. B.
Kirchbach Mariana
No associations
LandOfFree
The Quantum Mechanics Problem of the Schroedinger Equation with the Trigonometric Rosen-Morse Potential 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 The Quantum Mechanics Problem of the Schroedinger Equation with the Trigonometric Rosen-Morse Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Quantum Mechanics Problem of the Schroedinger Equation with the Trigonometric Rosen-Morse Potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-608172