40 citations · 41 across the 3 of their papers we have counts for
5 papers
Generic Short-Time Propagation of Sharp-Boundaries Wave Packets
Er'el Granot, Avi Marchewka
A general solution to the "shutter" problem is presented. The propagation of an arbitrary initially bounded wavefunction is investigated, and the general solution for any such func…
Wave function collapse implies divergence of average displacement
A. Marchewka, Z. Schuss
We show that propagating a truncated discontinuous wave function by Schrödinger's equation, as asserted by the collapse axiom, gives rise to non-existence of the average displaceme…
The survival probability of diffusion with killing
D. Holcman, A. Marchewka, Z. Schuss
We present a general framework to study the effect of killing sources on moving particles, trafficking inside biological cells. We are merely concerned with the case of spine-dendr…
Total Absorption in Finite Time in an Potential
A. Marchewka, Zeev Schuss
We consider the evolution of Green's function of the one-dimensional Schrödinger equation in the presence of the complex potential . Our result is the construction of an e…
Feynman Integral Approach to Absorption in Quantum Mechanics
A. Marchewka, Z. Schuss
We propose a formulation of an absorbing boundary for a quantum particle. The formulation is based on a Feynman-type integral over trajectories that are confined by the absorbing b…