Physics – Quantum Physics
Scientific paper
1999-12-07
J. Phys. A: Math. Gen. 33 (2000) 4561 - 4572
Physics
Quantum Physics
Original 10-page letter ``PT-symmetrized exact solution of the singular Eckart oscillator" is extended to a full paper
Scientific paper
10.1088/0305-4470/33/24/311
Version 1: The well known Eckart's singular s-wave potential is PT-symmetrically regularized and continued to the whole real line. The new model remains exactly solvable and its bound states remain proportional to Jacobi polynomials. Its real and discrete spectrum exhibits several unusual features. Version 2: Parity times time-reversal symmetry of complex Hamiltonians with real spectra is usually interpreted as a weaker mathematical substitute for Hermiticity. Perhaps an equally important role is played by the related strengthened analyticity assumptions. In a constructive illustration we complexify a few potentials solvable only in s-wave. Then we continue their domain from semi-axis to the whole axis and get the new exactly solvable models. Their energies come out real as expected. The new one-dimensional spectra themselves differ quite significantly from their s-wave predecessors.
No associations
LandOfFree
PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials 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 PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-282444