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186 papers
Does Born Rule Imply Unitarity of Time Evolution in Quantum Mechanics?
Ali Mostafazadeh
The Born rule for computing probabilities of the outcomes of measurements is an indispensable ingredient of quantum mechanics. The standard textbook description of this rule gives…
Scattering of TE and TM waves by inhomogeneities of a 2D material, low-frequency behavior of the scattering amplitude, and low-frequency invisibility
Farhang Loran, Ali Mostafazadeh
The propagation of the transverse electric (TE) and transverse magnetic (TM) waves in an effectively two-dimensional (2D) isotropic medium is described by Bergmann's equation of ac…
Pseudo-Hermiticity, Anti-Pseudo-Hermiticity, and Generalized Parity-Time-Reversal Symmetry at Exceptional Points
Nil İnce, Hasan Mermer, Ali Mostafazadeh
For a diagonalizable linear operator acting in a separable Hilbert space , i.e., an operator with a purely point spectrum, eigenvalues wi…
Can N-th Order Born Approximation Be Exact?
Farhang Loran, Ali Mostafazadeh
For the scattering of scalar waves in two and three dimensions and electromagnetic waves in three dimensions, we identify a condition on the scattering interaction under which the…
Consistent treatment of quantum systems with a time-dependent Hilbert space
Ali Mostafazadeh
We consider some basic problems associated with quantum mechanics of systems having a time-dependent Hilbert space. We provide a consistent treatment of these systems and address t…
Introducing a general method for solving electromagnetic radiation problem in an arbitrary linear medium
Farhang Loran, Ali Mostafazadeh
Numerical transfer matrices have been widely used in the study of wave propagation and scattering. These may be viewed as descretizations of a recently introduced fundamental notio…