7,104 research outputs found
Energy Eigenvalues For Supersymmetric Potentials via Quantum Hamilton-Jacobi Formalism
Using quantum Hamilton-Jacobi formalism of Leacock and Padgett, we show how
to obtain the exact eigenvalues for supersymmetric (SUSY) potentials.Comment: 15 pages Latex Compile twice to get cross references correct. 2
Figures not included. Requests for figures should be sent to
[email protected]
Designing bound states in a band as a model for a quantum network
We provide a model of a one dimensional quantum network, in the framework of
a lattice using Von Neumann and Wigner's idea of bound states in a continuum.
The localized states acting as qubits are created by a controlled deformation
of a periodic potential. These wave functions lie at the band edges and are
defects in a lattice. We propose that these defect states, with atoms trapped
in them, can be realized in an optical lattice and can act as a model for a
quantum network.Comment: 8 pages, 10 figure
- …