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most citedGeneric Short-Time Propagation of Sharp-Boundaries Wave Packets

40 citations · 198 across the 28 of their papers we have counts for

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quant-ph2016★ 2 cited

State Orthogonality, Boson Bunching Parameter and Bosonic Enhancement Factor

Avi Marchewka, Er'el Granot

It is emphasized that the bunching parameter , i.e. the ratio between the probability to measure two bosons and two distinguishable particles at the same state, is a co…

quant-ph2016

On the spatial coordinate measurement of two identical particles

Avi Marchewka, Er'el Granot, Zeev Schuss

Theoretically, the coordinate measurement of two identical particles at a point by two narrowly separated narrow detectors, is interpreted in the limit of shrinking width and separ…

quant-ph2013

Zeros in Bosonic Wave-Function Result in Local Anti-Bunching: Refining Feynman's argument

Avi Marchewka, E'rel Granot

The effect of boson bunching is frequently mentioned and discussed in the literature. This effect is the manifestation of bosons tendency to "travel" in clusters. One of the core a…

quant-ph2011★ 5 cited

Acceleration of trapped particles and beams

Er'el Granot, Boris Malomed

The dynamics of a quantum particle bound by an accelerating delta-functional potential is investigated. Three cases are considered, using the reference frame moving along with the…

quant-ph2010★ 1 cited

Bound Eigenstate dynamics under a sudden shift of the well's wall

Er'el Granot, Avi Marchewka

We investigate the dynamics of the eigenstate of an infinite well under an abrupt shift of the well's wall. It is shown that when the shift is small compared to the initial well's…

quant-ph2010

Transients with time-independent currents

Er'el Granot, Avi Marchewka

It is shown that when the initial particles probability density is discontinuous the emerging currents appear instantaneously, and although the density beyond the discontinuity is…

quant-ph2010

Quantum Dynamics Arising from Statistical Axioms

Avi Marchewka, Er'el Granot

We investigate the dynamics of pairs of Fermions and Bosons released from a box and find that their populations have unique generic properties ensuing from the axioms of quantum st…

quant-ph2010★ 3 cited

Trapping of quantum particles and light beams by switchable potential wells

Eduard Sonkin, Boris A. Malomed, Er'el Granot +1

We consider basic dynamical effects in settings based on a pair of local potential traps that may be effectively switched on and off, or suddenly displaced, by means of appropriate…

quant-ph2008★ 13 cited

Quantum particle displacement by a moving localized potential trap

Er'el Granot, Avi Marchewka

We describe the dynamics of a bound state of an attractive -well under displacement of the potential. Exact analytical results are presented for the suddenly moved potential. Si…

quant-ph2008★ 9 cited

A quantum decay model with exact explicit analytical solution

Avi Marchewka, Er'el Granot

A simple decay model is introduced. The model comprises of a point potential well, which experiences an abrupt change. Due to the temporal variation the initial quantum state can e…

quant-ph2006★ 13 cited

Universal potential barrier penetration by initially confined wavepackets

Er'el Granot, Avi Marchewka

The dynamics of an initially sharp-boundary wavepacket in the presence of an arbitrary potential barrier are investigated. It is shown that the penetration through the barrier is u…

quant-ph2006★ 8 cited

Potential Barrier Classification by Short-Time Measurement

Er'el Granot, Avi Marchewka

We investigate the short-time dynamics of a delta-function potential barrier on an initially confined wave-packet. There are mainly two conclusions: A) At short times the probabili…

quant-ph2005★ 40 cited

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…

quant-ph2003★ 12 cited

Scatterer that leaves "footprints" but no "fingerprints"

Er'el Granot

We calculate the exact transmission coefficient of a quantum wire in the presence of a single point defect at the wire's cut-off frequencies. We show that while the conductance pat…

quant-ph2001

Selected elevation in quantum tunneling

Er'el Granot

The tunneling through an opaque barrier with a strong oscillating component is investigated. It is shown, that in the strong perturbations regime (in contrast to the weak one), hig…