A B Balantekin et al 1999 J. Phys. A: Math. Gen. 32 2785 doi:10.1088/0305-4470/32/15/007
Algebraic nature of shape-invariant and self-similar potentials
A B Balantekin, M A Cândido Ribeiro and A N F Aleixo
Show affiliationsSelf-similar potentials generalize the concept of shape invariance which was originally introduced to explore exactly solvable potentials in quantum mechanics. In this paper it is shown that the previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated.
- PACS
- MSC
-
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
- Subjects
- Dates
-
Issue 15 (16 April 1999)
Received 20 November 1998
-
Algebraic nature of shape-invariant and self-similar potentials
A B Balantekin et al 1999 J. Phys. A: Math. Gen. 32 2785
-
A generalization of Handscomb's quantum Monte Carlo scheme-application to the 1D Hubbard model
A W Sandvik 1992 J. Phys. A: Math. Gen. 25 3667
-
Photon-pressure-induced test mass deformation in gravitational-wave detectors
S Hild et al 2007 Class. Quantum Grav. 24 5681
-
Filtering and calibration of data from a resonant-mass gravitational wave antenna
I S Heng et al 1999 Class. Quantum Grav. 16 3439
-
Geodesic motion in Kundt spacetimes and the character of the envelope singularity
J Podolský and M Belán 2004 Class. Quantum Grav. 21 2811
-
Measurement and calculation of characteristic prompt gamma ray spectra emitted during proton irradiation
J C Polf et al 2009 Phys. Med. Biol. 54 N519
-
What do very nearly flat detectable cosmic topologies look like?
B Mota et al 2004 Class. Quantum Grav. 21 3361
-
Ultrasound-based transient elastography compared to magnetic resonance elastography in soft tissue-mimicking gels
Jennifer Oudry et al 2009 Phys. Med. Biol. 54 6979
-
Mother templates for gravitational wave chirps
B S Sathyaprakash 2000 Class. Quantum Grav. 17 L157
-
First-principles calculations on the structure of hydrogen aggregates in silicon and diamond
N Martsinovich et al 2003 J. Phys.: Condens. Matter 15 S2815
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Spectral problems in open quantum chaos
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
super-Yang–Mills*