Generating Shape Invariant PotentialsInternational Journal of Modern Physics A (2008)
We transform the shape invariance condition, a difference-differential equation of supersymmetric quantum mechanics, into a local partial differential equation. We develop a new method for generating translationally shape invariant potentials from this equation. We generate precisely all the known shape invariant potentials, and argue that there are unlikely to be others.
- Supersymmetric quantum mechanics,
- shape invariance,
- difference-differential equations,
- exactly solvable potentials
Citation InformationAsim Gangopadhyaya. "Generating Shape Invariant Potentials" International Journal of Modern Physics A Vol. 23 (2008) p. 4959 - 4978
Available at: http://works.bepress.com/asim_gangopadhyaya/25/