Arne Jensen

Cand. Scient. 1976, Aarhus Universitet. Lic. Scient. 1979, Aarhus Universitet.

  • Skjernvej 4, A, 5-142

    9220 Aalborg Ø

    Denmark

1991 …2022
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Research Output 1991 2019

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2013
512 Downloads (Pure)

A complete classification of threshold properties for one-dimensional discrete Schrödinger operators

Ito, K. & Jensen, A., Dec 2013, Department of Mathematical Sciences, Aalborg University. 51 p. (Research Report Series; No. R-2013-12).

Research output: Book/ReportReportResearch

File
575 Downloads (Pure)

Metastable states when the Fermi Golden Rule constant vanishes

Cornean, H., Jensen, A. & Nenciu, G., Dec 2013, Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. 11).

Research output: Book/ReportReportResearch

File
2012
922 Downloads (Pure)

Memory effects in non-interacting mesoscopic transport

Cornean, H., Jensen, A. & Nenciu, G., Nov 2012, Department of Mathematical Sciences, Aalborg University. 17 p. (Research Report Series; No. R-2012-05).

Research output: Book/ReportReportResearch

File
2010
147 Downloads (Pure)

Decay laws for resonances produced by perturbation of unstable eigenvalues close to a threshold

Dinu, V., Jensen, A. & Nenciu, G., Nov 2010, Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-2010-18).

Research output: Book/ReportReportResearch

File
283 Downloads (Pure)

On self-adjointness of singular Floquet Hamiltonians

Duclos, P. & Jensen, A., Jun 2010, Department of Mathematical Sciences, Aalborg University. 10 p. (Research Report Series; No. R-2010-05).

Research output: Book/ReportReportResearch

File
227 Downloads (Pure)

Perturbation of near threshold eigenvalues: Crossover from exponential to non-exponential decay laws

Dinu, V., Jensen, A. & Nenciu, G., Jun 2010, Department of Mathematical Sciences, Aalborg University. 47 p. (Research Report Series; No. R-2010-04).

Research output: Book/ReportReportResearch

File
2009
204 Downloads (Pure)

Spatial growth of fundamental solutions for certain perturbations of the harmonic oscillator

Jensen, A. & Yajima, K., 2009, Department of Mathematical Sciences, Aalborg University. 15 p. (Research Report Series; No. R-2009-16).

Research output: Book/ReportReportResearch

Open Access
File
Fundamental Solution
Harmonic Oscillator
Infinity
Perturbation
Hessian matrix
2008
115 Downloads (Pure)

Non-exponential decay laws in perturbation theory of near threshold eigenvalues

Dinu, V., Jensen, A. & Nenciu, G., 2008, Aalborg: Department of Mathematical Sciences, Aalborg University. 29 p. (Research Report Series; No. R-2008-16).

Research output: Book/ReportReportResearch

Open Access
File
Perturbation Theory
Physics
Decay
Eigenvalue
2007
265 Downloads (Pure)

Exponential decay laws in perturbation theory of threshold and embedded eigenvalues

Jensen, A. & Nenciu, G., 2007, Aalborg: Department of Mathematical Sciences, Aalborg University. 16 p. (Research Report Series; No. R-2007-10).

Research output: Book/ReportReportResearch

Open Access
File
87 Downloads (Pure)

On Lp boundedness of wave operators for four dimensional Schrödinger operators with threshold singularities

Jensen, A. & Yajima, K., 2007, Aalborg: Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. R-2007-01).

Research output: Book/ReportReportResearch

Open Access
File
188 Downloads (Pure)

Uniqueness results for transient dynamics of quantum systems

Jensen, A. & Nenciu, G., 2007, Aalborg: Department of Mathematical Sciences, Aalborg University. 10 p. (Research Report Series; No. R-2007-11).

Research output: Book/ReportReportResearch

Open Access
File
242 Downloads (Pure)

Wavelets and the Lifting Scheme

la Cour-Harbo, A. & Jensen, A., 2007, Department of Mathematical Sciences, Aalborg University. 44 p. (Research Report Series; No. R-2007-27).

Research output: Book/ReportReportResearch

Open Access
File
Discrete wavelet transforms
Linear algebra
Signal processing
2006
84 Downloads (Pure)

On the Fermi Golde Rule: degenerate eigenvalues

Jensen, A. & Nenciu, G., 2006, Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-2006-17).

Research output: Book/ReportReportResearch

Open Access
File
Eigenvalue
Continuum
Perturbation
Review
Framework
2005
106 Downloads (Pure)

Schrödinger operators on the half line: Resolvent expansions and the Fermi Golden Rule at threshold

Jensen, A. & Nenciu, G., 2005, 21 p. (Research Report Series; No. R-2005-34).

Research output: Book/ReportReportResearch

Open Access
File
Fermi's Golden Rule
Resolvent
Half line
Polynomial Decay
Zero Point
78 Downloads (Pure)

The Fermi Golden Rule at thresholds

Jensen, A. & Nenciu, G., 2005, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 29 p. (Research Report Series; No. R-2005-03).

Research output: Book/ReportReportResearch

Open Access
File
218 Downloads (Pure)

The Landauer-Büttiker formula and resonant quantum transport

Cornean, H. D., Jensen, A. & Moldoveanu, V., 2005, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 9 p. (Research Report Series; No. R-2005-17).

Research output: Book/ReportReportResearch

Open Access
File
Quantum Transport
Numerical Computation
Model
2004
54 Downloads (Pure)

Addendum to the paper: "A unified appraoch to resolvent expansions at thresholds"

Jensen, A. & Nenciu, G., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. 3 p. (Research Report Series; No. R-2004-16).

Research output: Book/ReportReportResearch

Open Access
File
Resolvent
Corollary
207 Downloads (Pure)

A rigorous proof for the Landauer-Büttiker formula

Cornean, H. D., Jensen, A. & Moldoveanu, V., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. (Research Report Series; No. R-2004-10).

Research output: Book/ReportReportResearch

Open Access
File
sheds
complement
quantum dots
physics
coefficients
106 Downloads (Pure)

New criteria to identify spectrum

Jensen, A. & Krishna, M., 2004, Aalborg: Department of Mathematical Sciences, Aalborg University. 11 p. (Research Report Series; No. R-2004-21).

Research output: Book/ReportReportResearch

Open Access
File
Henri Léon Lebésgue
Self-adjoint Operator
Probability Measure
Hilbert space
Decompose
2003

An animated introduction to the discrete wavelet transform. Lecture notes

Jensen, A., 2003, Dept. of Mathematical Sciences: Aalborg Universitetsforlag. 159 p. (Research Report Series; No. R-2003-24).

Research output: Book/ReportReportResearch

2002
113 Downloads (Pure)

Local time-decay of solutions to Schrödinger equations with time-periodic potentials

Galtbayar, A., Jensen, A. & Yajima, K., 2002, Department of Mathematical Sciences: Aalborg Universitetsforlag. 50 p. (Research Report Series; No. R-02-2023).

Research output: Book/ReportReportResearch

Open Access
File
2001

A remark on Lp-boundedness of wave operators for two dimensional Schrödinger operators

Jensen, A. & Yajima, K., 2001, Aalborg: Aalborg Universitetsforlag. (Research Report Series; No. R-01-2029).

Research output: Book/ReportReportResearch

On perturbation of eigenvalues embedded at thresholds in a two channel model

Jensen, A., 2001, Aalborg: Aalborg Universitetsforlag. (Research Report Series; No. R-01-2028).

Research output: Book/ReportReportResearch

2000

A unified approach to resolvent expansions at thresholds

Jensen, A. & Nenciu, G., 2000, Aalborg: Aalborg Universitetsforlag. (Research Report Series; No. R-00-2015).

Research output: Book/ReportReportResearch

Perturbation of eigenvalues embedded at a threshold

Jensen, A. & Melgaard, M., 2000, Aalborg: Aalborg Universitetsforlag. (Research Report Series; No. R-00-2001).

Research output: Book/ReportReportResearch

1998

Report on Workshop on Geometric Scattering

Jensen, A. (ed.) & Skibsted, E. (ed.), 1998, Aarhus: MaPhySto, Aarhus University. 21 p. (MaPhySto - Miscellanea; No. 7).

Research output: Book/ReportReportResearch

scattering
many body problem
lectures
operators