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Intertwining technique for the one-dimensional stationary Dirac equation
A quantum architecture for multiplying signed integers
A new quantum architecture for multiplying signed integers is presented based on Booth's algorithm, and it is shown how a quantum binary chain might be encoded by its flank changes, giving the final product in 2's-complement representation.
Second-order supersymmetric periodic potentials
Supercoherent states, super-Kähler geometry and geometric quantization
Generalized coherent states provide a means of connecting square integrable representations of a semi-simple Lie group with the symplectic geometry of some of its homogeneous spaces. In the first…
Exact analytic solutions for a Dirac electron moving in graphene under magnetic fields
The factorization method used in supersymmetric quantum mechanics is adapted to solve the time-independent Dirac-Weyl equation and the behavior of the discrete spectrum, probability and current densities are discussed.
Travelling wave solutions of the generalized Benjamin–Bona–Mahony equation
Polynomial Heisenberg algebras
Polynomial deformations of the Heisenberg algebra are studied in detail. Some of their natural realizations are given by the higher order susy partners (and not only by those of first order, as is…
Self-isospectrality, special supersymmetry, and their effect on the band structure.
A planar model of a nonrelativistic electron in periodic magnetic and electric fields that produce a 1D crystal for two spin components separated by a half-period spacing is studied, and it is shown that the system obtained is characterized by a new type of supersymmetry.
Heisenberg-type higher order symmetries of superintegrable systems separable in Cartesian coordinates
Heisenberg-type higher order symmetries are studied for both classical and quantum mechanical systems separable in Cartesian coordinates. A few particular cases of these types of superintegrable…