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4 papers · 2 filters
Canonical transformations in three-dimensional phase space
T. Dereli, A. Tegmen, T. Hakioglu
Canonical transformation in a three-dimensional phase space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is construct…
Quantum canonical transformations in Weyl-Wigner-Groenewold-Moyal formalism
T. Dereli, T. Hakioglu, A. Tegmen
A conjecture in quantum mechanics states that any quantum canonical transformation can decompose into a sequence of three basic canonical transformations; gauge, point and intercha…
Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
Ali Mostafazadeh
Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of c…
Spectral Singularities, Biorthonormal Systems, and a Two-Parameter Family of Complex Point Interactions
Ali Mostafazadeh, Hossein Mehri-Dehnavi
A curious feature of complex scattering potentials v(x) is the appearance of spectral singularities. We offer a quantitative description of spectral singularities that identifies t…