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Geometric scattering in the presence of line defects
Hai Viet Bui, Ali Mostafazadeh, Sema Seymen
A non-relativistic scalar particle moving on a curved surface undergoes a geometric scattering whose behavior is sensitive to the theoretically ambiguous values of the intrinsic an…
Transfer matrix in scattering theory: A survey of basic properties and recent developments
Ali Mostafazadeh
We give a pedagogical introduction to time-independent scattering theory in one dimension focusing on the basic properties and recent applications of transfer matrices. In particul…
Transfer matrix for long-range potentials
Farhang Loran, Ali Mostafazadeh
We extend the notion of the transfer matrix of potential scattering to a large class of long-range potentials and derive its basic properties. We outline a dynamical formula…
Time-Dependent Pseudo-Hermitian Hamiltonians and a Hidden Geometric Aspect of Quantum Mechanics
Ali Mostafazadeh
A non-Hermitian operator defined in a Hilbert space with inner product may serve as the Hamiltonian for a unitary quantum system, if it is -pseud…