Deformations and dilations of chaotic billiards: dissipation rate, and quasiorthogonality of the boundary wave functions

Alex Barnett; Doron Cohen; Eric J. Heller

doi:10.1103/PhysRevLett.85.1412

Deformations and dilations of chaotic billiards: dissipation rate, and quasiorthogonality of the boundary wave functions

Alex Barnett
, Doron Cohen
, Eric J. Heller

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

28 Scopus citations

Abstract

The band profile of the matrix M_nm for a general displacement field D(s) was studied. Focus was on the quasiorthogonality for special choices of D(s). It was explained that M_nm is the matrix element of a perturbation δ H associated with a deformation of the boundary, such that (n · D)δx is the normal displacement of a wall element, given a control parameter δx.

Original language	English
Pages (from-to)	1412-1415
Number of pages	4
Journal	Physical Review Letters
Volume	85
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevLett.85.1412
State	Published - 14 Aug 2000
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.85.1412

Cite this

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title = "Deformations and dilations of chaotic billiards: dissipation rate, and quasiorthogonality of the boundary wave functions",

abstract = "The band profile of the matrix Mnm for a general displacement field D(s) was studied. Focus was on the quasiorthogonality for special choices of D(s). It was explained that Mnm is the matrix element of a perturbation δ H associated with a deformation of the boundary, such that (n · D)δx is the normal displacement of a wall element, given a control parameter δx.",

author = "Alex Barnett and Doron Cohen and Heller, \{Eric J.\}",

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AU - Barnett, Alex

AU - Cohen, Doron

AU - Heller, Eric J.

PY - 2000/8/14

Y1 - 2000/8/14

N2 - The band profile of the matrix Mnm for a general displacement field D(s) was studied. Focus was on the quasiorthogonality for special choices of D(s). It was explained that Mnm is the matrix element of a perturbation δ H associated with a deformation of the boundary, such that (n · D)δx is the normal displacement of a wall element, given a control parameter δx.

AB - The band profile of the matrix Mnm for a general displacement field D(s) was studied. Focus was on the quasiorthogonality for special choices of D(s). It was explained that Mnm is the matrix element of a perturbation δ H associated with a deformation of the boundary, such that (n · D)δx is the normal displacement of a wall element, given a control parameter δx.

UR - https://www.scopus.com/pages/publications/0034249501

U2 - 10.1103/PhysRevLett.85.1412

DO - 10.1103/PhysRevLett.85.1412

M3 - Article

AN - SCOPUS:0034249501

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JO - Physical Review Letters

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Deformations and dilations of chaotic billiards: dissipation rate, and quasiorthogonality of the boundary wave functions

Abstract

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