Supersymmetric Quantum Mechanics and Solvable Models
AbstractWe review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum mechanical problems. We review shape invariance and its connection to a consequent potential algebra. The additive shape invariance condition is specified by a difference-differential equation; we show that this equation is equivalent to an infinite set of partial differential equations. Solving these equations, we show that the known list of ħ-independent superpotentials is complete. We then describe how these equations could be extended to include superpotentials that do depend on ħ. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Bougie, J.; Gangopadhyaya, A.; Mallow, J.; Rasinariu, C. Supersymmetric Quantum Mechanics and Solvable Models. Symmetry 2012, 4, 452-473.
Bougie J, Gangopadhyaya A, Mallow J, Rasinariu C. Supersymmetric Quantum Mechanics and Solvable Models. Symmetry. 2012; 4(3):452-473.Chicago/Turabian Style
Bougie, Jonathan; Gangopadhyaya, Asim; Mallow, Jeffry; Rasinariu, Constantin. 2012. "Supersymmetric Quantum Mechanics and Solvable Models." Symmetry 4, no. 3: 452-473.