Quadratic algebra approach to an exactly solvable position-dependent mass Schrödinger equation in two dimensions.
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Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions.
de Oliveira, César R., Simsen, Mariza S. (2009)
Mathematical Problems in Engineering
Quantum graph spectra of a graphyne structure
Ngoc T. Do, Peter Kuchment (2013)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.
Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
Michael Melgaard (2003)
Open Mathematics
For fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger operator with a constant magnetic field and an axisymmetrical electric potential V. In various, mostly singular settings, asymptotic expansions for the resolvent of the Hamiltonian H m+Hom+V are deduced as the spectral parameter tends to the lowest Landau threshold. Furthermore, scattering theory for the pair (H m, H om) is established and asymptotic expansions...
Quasi-exactly solvable -body spin Hamiltonians with short-range interaction potentials.
Enciso, A, Finkel, F., González-López, A., Rodríguez, M.A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Currently displaying 1 – 5 of 5
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