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Refereed/peer-reviewed articles in journals
Refereed contributions to books
Refereed articles in conference proceedings
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Refereed articles in journals

Year 2014b
Authors
J. Kungsman and M. Melgaard
Title Complex absorbing potential method for the perturbed Dirac operator
Reference Communications in Partial Differential Equations (2014), to appear.

Year 2014a
Authors
J. Kungsman and M. Melgaard
Title Complex absorbing potential method for Dirac operators. Clusters of resonances
Reference Journal of Operator Theory 71 (2014), issue 1, 259--283.

Year 2012e
Authors
M. Enstedt and M. Melgaard
Title Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators
Reference Journal of Differential Equations 253 ` (2012), no 6, 1729--1743.

Year 2012d
Authors
E. Chiumiento and M. Melgaard
Title Stiefel and Grassmann manifolds in quantum chemistry
Reference Journal of Geometry and Physics 62, issue 8, 1866-1881. doi: 10.1016/j.geomphys.2012.04.005

Year 2012c
Authors
M. Melgaard, F. D. Y. Zongo
Title Multiple solutions of the quasi relativistic Choquard equation
Reference Journal of Mathematical Physics 53, 033709 (12 pp) doi: 10.1063/1.3695991

Year 2012b
Authors
C. Argaez and M. Melgaard
Title Existence of a minimizer for the quasi-relativistic Kohn-Sham model
Reference Electronic Journal of Differential Equations, Volume 2012, no. 18, 1-20.

Year 2012a
Authors
C. Argaez and M. Melgaard
Title Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry
Reference Nonlinear Analysis: theory, methods and applications 75, 384--404. doi: 10.1016/j.na.2011.08.038

Year 2010
Authors
J. Kungsman and M. Melgaard
Title Complex absorbing potential method for systems
Reference Dissertationes Mathematicae 469 (58 pages), Polish Academy of Sciences, doi:10.4064/dm469-0-1

Year 2009
Authors
M. Enstedt and M. Melgaard
Title Existence of infinitely many distinct solutions to the quasi-relativistic Hartree-Fock equations
Reference International Journal of Mathematics and Mathematical Sciences, vol. 2009, Article ID 651871, 20 pages, 2009. doi:10.1155/2009/651871

Year 2008b
Authors
M. Enstedt and M. Melgaard
Title Non-existence of a minimizer to the magnetic Hartree-Fock functional
Reference Positivity 12 (2008), 653-666.

Year 2008a
Authors
M. Enstedt and M. Melgaard
Title Existence of a solution to Hartree-Fock equations with decreasing magnetic field
Reference Nonlinear Analysis: Theory, Methods & Applications 69 (2008), 2125-2141.

Year 2007c
Authors
M. Melgaard
Title Confinement effects on scattering for a nanoparticle
Reference Acta Phys. Polon. B 38 (2007), 197-214.

Year 2007b
Authors
M. Melgaard
Title Scattering properties for a pair of Schrödinger type operators on cylindrical domain
Reference Cent. Eur. J. Math. 5 (2007), 134-153.

Year 2007a
Authors
M. Melgaard
Title Quantum collisions in semi-constrainted structures
Reference Modern Physics Letters B 21 (2007), no. 13, 767-779.

Year 2006
Authors
M. Melgaard
Title Thresholds properties for matrix-valued Schrödinger operators, II. Resonances
Reference Journal of Differential Equations 226 (2006), no. 2, 687--703.

Year 2005e
Authors
J. F. Brasche and M. Melgaard
Title The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disk
Reference Integral Equations Operator Theory 52 (2005), no. 3, 419--436.

See below for entry 2005d

Year 2005c
Authors
M. Melgaard
Title Optimal limiting absorption principle for a Schrödinger type operator on a Lipschitz cylinder
Reference Manuscripta Mathematica 118 (2005), no. 2, 253-270

Year 2005b
Authors
M. Melgaard and T. Johnson
Title On the maximal ionization for the atomic Pauli operato
Reference Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), no. 2063, 3355--3364.

Year 2005a
Authors
M. Melgaard
Title Thresholds properties for matrix-valued Schrödinger operators
Reference Journal of Mathematical Physics 46 (2005), p 83507 (10 pages).

Year 2004b
Authors
M. Melgaard
Title Bound states for the three-dimensional Aharonov-Bohm quantum wire
Reference Few-Body Systems (Formerly Acta Physica Austriaca) 45 (2004), Nos. 1-2, 77-97.

Year 2004a
Authors
M. Melgaard, E.-M. Ouhabaz, and G. Rozenblum
Title Negative discrete spectrum of perturbed multivortex Aharonov-Bohm Hamiltonians
Reference Annals Henri Poincare 5 (2004), 979-1012.

Year 2003b
Authors
M. Melgaard and G. Rozenblum
Title Eigenvalue asymptotics for weakly perturbed Dirac and Schrödinger operators with constant magnetic fields of full rank
Reference Communications in Partial Differential Equations 28 (2003), Nos. 3 and 4, 697-736.

Year 2003a
Authors
M. Melgaard
Title Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
Reference Central European Journal of Mathematics 1 (2003), no. 4, 477-509.

Year 2002d
Authors
M. Melgaard
Title On bound states for systems of weakly coupled Schrödinger equations in one space
Reference Journal of Mathematical Physics 43 (2002), no. 11, pp 5 365 -- 5 385

Year 2002c
Authors
M. Melgaard
Title New approach to quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
Reference Few-Body Systems (Formerly Acta Physica Austriaca) 32 (2002), 1-22.

Year 2002b
Authors
M. Melgaard
Title Spectral properties in the low-energy limit of one-dimensional Schrödinger operators $-d^{2}/dx^{2}+V$. The case $\langle 1, V1 \rangle \neq 0$
Reference Mathematische Nachrichten 238 (2002), 113-143.

Year 2002a
Authors
A. Jensen and M. Melgaard
Title Perturbation of eigenvalues embedded at a threshold
Reference Proceedings of the Royal Society of Edinburgh Section A 131 (2002), 163-179.

Year 2001b
Authors
M. Melgaard
Title Spectral properties at a threshold for two-channel Hamiltonians. II. Applications to scattering theory
Reference Journal of Mathematical Analysis and Applications 256 (2001), no. 2, 568-586.
Year 2001a
Authors
M. Melgaard
Title Spectral properties at a threshold for two-channel Hamiltonians. I. Abstract theory
Reference Journal of Mathematical Analysis and Applications 256 (2001), no. 1, 281-303.

Year 1996
Authors
M. Melgaard and G. Rozenblum
Title Spectral estimates for magnetic operators
Reference Mathematica Scandinavica 79 (1996), 237-254.

Refereed contributions to books

Year 2005d
Authors
G. Rozenblum and M. Melgaard
Title Schrödinger operators with singular potentials
Reference In: Stationary Partial Differential Equations, Vol. II, 407--517. Handbook of Differential Equations, Elsevier/North-Holland, Amsterdam.

Refereed articles in conference proceedings

Year 2007
Authors
M. Melgaard
Title Confinement effects on scattering for a nanoparticle
Reference pp 225-233 in Proceedings of the International Conference APLIMAT 2007, February 6 - 9, 2007, Bratislava, Slovak Republic. ISBN: 978-80-969562-5-8.
Year 2007
Authors
M. Melgaard
Title Strong asymptotic completeness of a quantum wire
Reference pp 178-187 in Proceedings of the International Conference Days on Diffraction 2006, May 30 - jun 2, 2006, St. Petersburg, Russia. ISBN: 5-9651-0226-7