Scattering of quantum wave packets by shallow potential islands: a quantum lens

Arseni Goussev; Klaus Richter

doi:10.1103/PhysRevE.87.052918

Scattering of quantum wave packets by shallow potential islands: a quantum lens

Arseni Goussev, Klaus Richter

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

18 Downloads (Pure)

Abstract

We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing) of light rays by a thin optical lens: Quantum interference between straight paths yields the same lens equation as for refracted rays in classical optics.

Original language	English
Pages (from-to)	052918-052924
Journal	Physical Review E (PRE)
Volume	87
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.87.052918
Publication status	Published - 2013

Access to Document

10.1103/PhysRevE.87.052918

1302Accepted author manuscript, 229 KB

Cite this

@article{e19867424e7f465ca1c3d56464a1b360,

title = "Scattering of quantum wave packets by shallow potential islands: a quantum lens",

abstract = "We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing) of light rays by a thin optical lens: Quantum interference between straight paths yields the same lens equation as for refracted rays in classical optics.",

author = "Arseni Goussev and Klaus Richter",

year = "2013",

doi = "10.1103/PhysRevE.87.052918",

language = "English",

volume = "87",

pages = "052918--052924",

journal = "Physical Review E (PRE)",

issn = "1539-3755",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Scattering of quantum wave packets by shallow potential islands: a quantum lens

AU - Goussev, Arseni

AU - Richter, Klaus

PY - 2013

Y1 - 2013

N2 - We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing) of light rays by a thin optical lens: Quantum interference between straight paths yields the same lens equation as for refracted rays in classical optics.

AB - We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing) of light rays by a thin optical lens: Quantum interference between straight paths yields the same lens equation as for refracted rays in classical optics.

UR - https://www.scopus.com/pages/publications/84878497140

U2 - 10.1103/PhysRevE.87.052918

DO - 10.1103/PhysRevE.87.052918

M3 - Article

SN - 1539-3755

SN - 1550-2376

SN - 2470-0045

SN - 2470-0053

VL - 87

SP - 52918

EP - 52924

JO - Physical Review E (PRE)

JF - Physical Review E (PRE)

IS - 5

ER -

Scattering of quantum wave packets by shallow potential islands: a quantum lens

Abstract

Access to Document

Other files and links

Fingerprint

Cite this