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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Journal article
2019

Instability of Resonances Under Stark Perturbations

Jensen, A. & Yajima, K., 5 Feb 2019, In : Annales Henri Poincare. 20, 2, p. 675-687 13 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Perturbation
perturbation
Scattering Theory
operators
Operator
2018
1 Citation (Scopus)

On the adiabatic theorem when eigenvalues dive into the continuum

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 2018, In : Reviews in Mathematical Physics. 30, 5, 25 p., 1850011.

Research output: Contribution to journalJournal articleResearchpeer-review

Survival Probability
Bound States
Continuum
eigenvalues
theorems

Resolvent expansion for the Schrödinger operator on a graph with infinite rays

Ito, K. & Jensen, A., Aug 2018, In : Journal of Mathematical Analysis and Applications. 464, 1, p. 616-661 46 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Resolvent
Eigenfunctions
Half line
Eigenvalues and eigenfunctions
Zero
2017
1 Citation (Scopus)
81 Downloads (Pure)

Resolvent expansions for the Schrödinger operator on the discrete half-line

Ito, K. & Jensen, A., 2017, In : Journal of Mathematical Physics. 58, 5, 24 p., 052101.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
2015
8 Citations (Scopus)

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

Ito, K. & Jensen, A., 2015, In : Reviews in Mathematical Physics. 27, 1, p. 1-45 45 p., 1550002.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
7 Citations (Scopus)

Metastable states when the Fermi Golden Rule constant vanishes

Cornean, H., Jensen, A. & Nenciu, G., 2015, In : Communications in Mathematical Physics. 334, 3, p. 1189-1218 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2014
7 Citations (Scopus)

Memory Effects in Non-Interacting Mesoscopic Transport

Cornean, H., Jensen, A. & Nenciu, G., Oct 2014, In : Annales Henri Poincare. 15, 10, p. 1919-1943 25 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2013

About the Code of Practice of the European Mathematical Society

Jensen, A., Mar 2013, In : EMS Newsletter. 87

Research output: Contribution to journalJournal articleCommunication

moral philosophy
Society
2011
10 Citations (Scopus)

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

Dinu, V., Jensen, A. & Nenciu, G., 2011, In : Reviews in Mathematical Physics. 23, 1, p. 83-125

Research output: Contribution to journalJournal articleResearchpeer-review

The European Mathematical Society Ethics Committee

Jensen, A., Jun 2011, In : EMS Newsletter. 80, p. 11-12 2 p.

Research output: Contribution to journalJournal articleCommunication

moral philosophy
Society
2010

On self-adjointness of singular Floquet Hamiltonians

Duclos, P. & Jensen, A., 2010, In : Journal of Physics A: Mathematical and Theoretical. 43, 47, 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Self-adjointness
Hamiltonians
Mathematical operators
Propagator
Self-adjoint Operator

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

Jensen, A. & Yajima, K., 2010, In : Reviews in Mathematical Physics. 22, 2, p. 193-206 14 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Fundamental Solution
Harmonic Oscillator
infinity
harmonic oscillators
Infinity
2009
10 Citations (Scopus)

Nonexponential decay laws in perturbation theory of near threshold eigenvalues

Dinu, V., Jensen, A. & Nenciu, G., 2009, In : Journal of Mathematical Physics. 50, 1, 20 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2008
10 Citations (Scopus)

On L-p boundedness of wave operators for 4-dimensional Schrodinger operators with threshold singularities

Jensen, A. & Yajima, K., 2008, In : Proceedings of the London Mathematical Society. 96, 1, p. 136-162 27 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Wave Operator
Boundedness
Singularity
Operator

Uniqueness Results for Transient Dynamics of Quantum Systems

Jensen, A. & Nenciu, G., 2008, In : Contemporary Mathematics. p. 165-174 10 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2006
5 Citations (Scopus)
492 Downloads (Pure)

Schrodinger operators on the half line: resolvent expansions and the Fermi golden rule at thresholds

Jensen, A. & Nenciu, G., 2006, In : Proceedings of the Indian Academy of sciences. Mathematical sciences. 116, 4, p. 375-392 18 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
20 Citations (Scopus)

The Fermi Golden Rule and its form at thresholds in odd dimensions

Jensen, A. & Nenciu, G., 2006, In : Communications in Mathematical Physics. 261, 3, p. 693-727 34 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2005
29 Citations (Scopus)

A rigorous proof of the Landauer-Buttiker formula

Cornean, H. D., Jensen, A. & Moldoveanu, V., 2005, In : Journal of Mathematical Physics. 46, 4, p. 1-28

Research output: Contribution to journalJournal articleResearchpeer-review

Quantum Transport
Scattering Problems
Quantum Dots
Conductance
Discrete Model

New criteria to identify spectrum

Jensen, A. & Krishna, M., 2005, In : Proceedings of the Indian Academy of sciences. Mathematical sciences. 115, 2, p. 217-226

Research output: Contribution to journalJournal articleResearchpeer-review

Hilbert spaces
Mathematical operators
Decomposition
2004

A Fermi Golden Rule at thresholds

Jensen, A., 2004, In : Oberwolfach Reports. 1, 4, p. 2843-2844 2 p.

Research output: Contribution to journalJournal articleResearchpeer-review

8 Citations (Scopus)

Erratum to the paper "A unified approach to resolvent expansions at thresholds"

Jensen, A. & Nenciu, G., 2004, In : Reviews in Mathematical Physics. 16, 5, p. 675-677 3 p.

Research output: Contribution to journalJournal articleResearchpeer-review

18 Citations (Scopus)
70 Downloads (Pure)

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

Jensen, A., Galtbayar, A. & Yajima, K., 2004, In : Journal of Statistical Physics. 116, 1-4, p. 231-282

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File

Some recent results on Schrödinger equations with time-periodic potentials

Galtbayar, A., Jensen, A. & Yajima, K., 2004, In : Surikaisekikenkyusho Kokyuroku. 1364, p. 81-88

Research output: Contribution to journalJournal articleResearchpeer-review

2003
6 Citations (Scopus)

The Nelson model with less than two photons

Galtbayar, A., Jensen, A. & Yajima, K., 2003, In : Annales de l'Institute Henri Poincare. Physique theorique. 4, 4, p. 239-273

Research output: Contribution to journalJournal articleResearchpeer-review

2002
20 Citations (Scopus)
78 Downloads (Pure)

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

Jensen, A. & Yajima, K., 2002, In : Communications in Mathematical Physics. 225, p. 633-637

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
2 Citations (Scopus)

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

Jensen, A., 2002, In : Proceedings of the Indian Academy of sciences. Mathematical sciences. 112, 1, p. 107-116

Research output: Contribution to journalJournal articleResearchpeer-review

6 Citations (Scopus)

Perturbation of eigenvalues embedded at a threshold

Jensen, A. & Melgaard, M., 2002, In : Proceedings of the Royal Society of Edinburgh. Section A Mathematics. 132A, p. 163-179

Research output: Contribution to journalJournal articleResearchpeer-review

2001
94 Citations (Scopus)

A unified approach to resolvent expansions at thresholds

Jensen, A. & Nenciu, G., 2001, In : Reviews in Mathematical Physics. 13, 6, p. 717-754

Research output: Contribution to journalJournal articleResearchpeer-review

2000

Tosio Kato (1917-1999)

Cordes, H., Jensen, A., Kuroda, S., Ponce, G., Simon, B. & Taylor, M., 2000, In : Abstracts of Papers Presented to the American Mathematical Society. 47, 6, p. 650-657

Research output: Contribution to journalJournal articleResearchpeer-review

1998
1 Citation (Scopus)

Space-time scattering for the Schrödinger equation

Jensen, A., 1998, In : Arkiv for Matematik. 36, 2, p. 363-377

Research output: Contribution to journalJournal articleResearchpeer-review

1997

The 2D Schrödinger equation for a neutral pair in a constant magnetic field

Jensen, A. & Nakamura, S., 1997, In : Annales de l'Institute Henri Poincare. Physique theorique. 67, 4, p. 387-410 24 p.

Research output: Contribution to journalJournal articleResearchpeer-review

1995
21 Citations (Scopus)

Lp-mapping properties of functions of Schrödinger operators and their application to scattering theory

Jensen, A. & Nakamura, S., 1995, In : Journal of the Mathematical Society of Japan. 47, 2, p. 253-273 21 p.

Research output: Contribution to journalJournal articleResearchpeer-review

1994

Mapping properties of functions of Schrödinger operators between $L^p$-spaces and Besov spaces

Jensen, A. & Nakamura, S., 1994, In : Spectral and Scattering Theory and Applications, Advanced Studies in Pure Mathematics. p. 187-209 12 p.

Research output: Contribution to journalJournal articleResearchpeer-review

10 Citations (Scopus)

Results in $L^p(R^d)$ for the Schrödinger equation with a time-dependent potential

Jensen, A., 1994, In : Mathematische Annalen. 299, p. 117-125 8 p.

Research output: Contribution to journalJournal articleResearchpeer-review

7 Citations (Scopus)

Scattering theory for Stark Hamiltonians

Jensen, A., 1994, In : Proceedings of the Indian Academy of sciences. Mathematical sciences. 104, 4, p. 599-651 53 p.

Research output: Contribution to journalJournal articleResearchpeer-review

1993

Existence and non-existence results for wave operators for perturbations of the Laplacian

Jensen, A. & Ozawa, T., 1993, In : Reviews in Mathematical Physics. 5, p. 601-629

Research output: Contribution to journalJournal articleResearchpeer-review

1992
2 Citations (Scopus)

High energy resolvent estimates for Schrödinger operators in Besov spaces

Jensen, A., 1992, In : Journal d'Analyse Mathematique. 59, p. 45-50 6 p.

Research output: Contribution to journalJournal articleResearchpeer-review

17 Citations (Scopus)

Mapping properties of wave and scattering operators for two-body Schrödinger operators

Jensen, A. & Nakamura, S., 1992, In : Letters in Mathematical Physics. 24, p. 295-305

Research output: Contribution to journalJournal articleResearchpeer-review

1991

Classical and quantum scattering for Stark Hamiltonians with slowly decaying potentials

Jensen, A. & Ozawa, T., 1991, In : Annales de l'Institute Henri Poincare. Physique theorique. 54, p. 229-243

Research output: Contribution to journalJournal articleResearchpeer-review

On the long range scattering for Stark Hamiltonians

Jensen, A. & Yajima, K., 1991, In : Journal fur die Reine und Angewandte Mathematik. 420, p. 179-193

Research output: Contribution to journalJournal articleResearchpeer-review