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Variational orthogonalization
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We introduce variational methods for finding approximate eigenfunctions and eigenvalues of quantum Hamiltonians by constructing a set of orthogonal wave functions which approximately solve the eigenvalue equation.

National Category
Physical Sciences Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-186149DOI: arxiv.org/abs/1307.4010OAI: oai:DiVA.org:kth-186149DiVA: diva2:925720
Note

QS 201605

Available from: 2016-05-03 Created: 2016-05-03 Last updated: 2016-05-17Bibliographically approved
In thesis
1. On various aspects of extended objects
Open this publication in new window or tab >>On various aspects of extended objects
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski space. In particular, we study the Lie algebra of diffeomorphisms on 2 dimensional compact manifolds as well as discuss singularity formation for relativistic minimal surfaces in co-dimension one. We also present a new approach to the Lorentz anomaly in string theory based on operator product expansion. Finally, we consider the spectrum of a family of Schr\"odinger operators describing quantum minimal surfaces and provide bounds for the eigenvalues for finite $N$ as well as in the limit where N tends to infinity.

Place, publisher, year, edition, pages
KTH Royal Institute of Technology, 2016. 20 p.
Series
TRITA-MAT-A, 2016:04
National Category
Other Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kth:diva-186153 (URN)978-91-7595-979-5 (ISBN)
Public defence
2016-06-10, sal F3, Lindstedtsvägen 25, Stockholm, 14:00 (English)
Opponent
Supervisors
Note

QC 20160517

Available from: 2016-05-17 Created: 2016-05-03 Last updated: 2016-07-08Bibliographically approved

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Atai, FarrokhHoppe, JensHynek, MariuszLangmann, Edwin
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