Exactly solvable associated Lame potentials and supersymmetric transformations
arXiv:quant-ph/0608180 · doi:10.1016/j.aop.2006.07.011
Abstract
A systematic procedure to derive exact solutions of the associated Lame equation for an arbitrary value of the energy is presented. Supersymmetric transformations in which the seed solutions have factorization energies inside the gaps are used to generate new exactly solvable potentials; some of them exhibit an interesting property of periodicity defects.
Annals of Phys.(in press); Present e-mail of AG: [email protected]
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- Wronskian differential formula for confluent supersymmetric quantum mechanics
- Wronskian differential formula for k-confluent SUSY QM
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- Hierarchy of QM SUSYs on a Bounded Domain
- Bilayer graphene in periodic and quasiperiodic magnetic superlattices
- Supersymmetric partners for the associated Lame potentials
- Solving the Schrodinger Equation of an Electron in a Periodic Crystal Potential through Elliptic Functions
- Quantum Hamilton-Jacobi Quantization and Shape Invariance