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-matrix pole symmetries for non-Hermitian scattering Hamiltonians
M. A. Simón, A. Buendía, A. Kiely +2
The complex eigenvalues of some non-Hermitian Hamiltonians, e.g. parity-time symmetric Hamiltonians, come in complex-conjugate pairs. We show that for non-Hermitian scattering Hami…
Scattering due to geometry: The case of a spinless particle moving on an asymptotically flat embedded surface
Neslihan Oflaz, Ali Mostafazadeh, Mehrdad Ahmady
A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltoni…
Nonlinear Scattering and Its Transfer Matrix Formulation in One Dimension
Ali Mostafazadeh
We present a systematic formulation of scattering theory for nonlinear interactions in one dimension and develop a nonlinear generalization of the transfer matrix that has a compos…
Energy Observable for a Quantum System with a Dynamical Hilbert Space and a Global Geometric Extension of Quantum Theory
Ali Mostafazadeh
A non-Hermitian operator may serve as the Hamiltonian for a unitary quantum system, if we can modify the Hilbert space of state vectors of the system so that it turns into a Hermit…