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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…
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…
Singularity-free treatment of delta-function point scatterers in two dimensions and its conceptual implications
Farhang Loran, Ali Mostafazadeh
In two dimensions, the standard treatment of the scattering problem for a delta-function potential, , leads to a logarithmic singularity…
Comment on "Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation"
Farhang Loran, Ali Mostafazadeh, Sema Seymen +1
In [J. A. Rebouças and P. A. Brandão, Phys. Rev. A 104, 063514 (2021)] the authors compute the scattering amplitude for a -symmetric double-delta-function p…
Renormalization of multi-delta-function point scatterers in two and three dimensions, the coincidence-limit problem, and its resolution
Farhang Loran, Ali Mostafazadeh
In two and three dimensions, the standard treatment of the scattering problem for a multi-delta-function potential, $v(\mathbf{r})=\sum_{n=1}^N\mathfrak{z}_nδ(\mathbf{r}-\mathbf{a}…