Bound states in tubular quantum waveguides with torsion

Clark I.J. and Bracken A.J. (1996) Bound states in tubular quantum waveguides with torsion. Journal of Physics A: Mathematical and General, 29 15: 4527-4535. doi:10.1088/0305-4470/29/15/022

Author Clark I.J.
Bracken A.J.
Title Bound states in tubular quantum waveguides with torsion
Journal name Journal of Physics A: Mathematical and General   Check publisher's open access policy
ISSN 0305-4470
Publication date 1996-01-01
Sub-type Article (original research)
DOI 10.1088/0305-4470/29/15/022
Volume 29
Issue 15
Start page 4527
End page 4535
Total pages 9
Subject 3100 Physics and Astronomy
3109 Statistical and Nonlinear Physics
2610 Mathematical Physics
Abstract We consider a quantum particle constrained to move within a tube of central radius d embedded in 3-space, subject to Dirichlet boundary conditions. Taking the central axis of the tube as a reference curve and setting up a locally cylindrical polar coordinate system around this curve, we derive an exact expression for the effective potential introduced by the imposition of curvature and torsion. We then employ a minimax method to ascertain a sufficient requirement for the curvature and torsion to guarantee the existence of a bound state.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
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Citation counts: TR Web of Science Citation Count  Cited 25 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 26 times in Scopus Article | Citations
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