Comment on 'Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard

Mathieu Lewin

doi:10.1016/j.na.2011.12.001

Comment on 'Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard

Mathieu Lewin

CY Cergy Paris Université

Research output: Contribution to journal › Article › peer-review

Abstract

In a recent paper published in Nonlinear Analysis: Theory, Methods & Applications, Argaez and Melgaard have studied excited states for pseudo-relativistic multi-configuration methods. Their paper follows a previous work of mine in the non-relativistic case [M. Lewin, Solutions of the multiconfiguration equations in quantum chemistry, Arch. Ration. Mech. Anal. 171 (1) (2004) 83114. doi:10.1007/s00205003-0281-6]. The main results of the paper of Argaez and Melgaard are correct, but the proofs are both wrong and incomplete.

Original language	English
Pages (from-to)	2988-2991
Number of pages	4
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	75
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2011.12.001
Publication status	Published - 1 Jan 2012
Externally published	Yes

Keywords

Critical point theory
Excited states
Multi-configuration methods
Pseudo-relativistic atoms and molecules

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10.1016/j.na.2011.12.001

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title = "Comment on 'Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard",

abstract = "In a recent paper published in Nonlinear Analysis: Theory, Methods \& Applications, Argaez and Melgaard have studied excited states for pseudo-relativistic multi-configuration methods. Their paper follows a previous work of mine in the non-relativistic case [M. Lewin, Solutions of the multiconfiguration equations in quantum chemistry, Arch. Ration. Mech. Anal. 171 (1) (2004) 83114. doi:10.1007/s00205003-0281-6]. The main results of the paper of Argaez and Melgaard are correct, but the proofs are both wrong and incomplete.",

keywords = "Critical point theory, Excited states, Multi-configuration methods, Pseudo-relativistic atoms and molecules",

author = "Mathieu Lewin",

year = "2012",

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doi = "10.1016/j.na.2011.12.001",

language = "English",

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T1 - Comment on 'Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard

AU - Lewin, Mathieu

PY - 2012/1/1

Y1 - 2012/1/1

N2 - In a recent paper published in Nonlinear Analysis: Theory, Methods & Applications, Argaez and Melgaard have studied excited states for pseudo-relativistic multi-configuration methods. Their paper follows a previous work of mine in the non-relativistic case [M. Lewin, Solutions of the multiconfiguration equations in quantum chemistry, Arch. Ration. Mech. Anal. 171 (1) (2004) 83114. doi:10.1007/s00205003-0281-6]. The main results of the paper of Argaez and Melgaard are correct, but the proofs are both wrong and incomplete.

AB - In a recent paper published in Nonlinear Analysis: Theory, Methods & Applications, Argaez and Melgaard have studied excited states for pseudo-relativistic multi-configuration methods. Their paper follows a previous work of mine in the non-relativistic case [M. Lewin, Solutions of the multiconfiguration equations in quantum chemistry, Arch. Ration. Mech. Anal. 171 (1) (2004) 83114. doi:10.1007/s00205003-0281-6]. The main results of the paper of Argaez and Melgaard are correct, but the proofs are both wrong and incomplete.

KW - Critical point theory

KW - Excited states

KW - Multi-configuration methods

KW - Pseudo-relativistic atoms and molecules

U2 - 10.1016/j.na.2011.12.001

DO - 10.1016/j.na.2011.12.001

M3 - Article

AN - SCOPUS:84855528980

SN - 0362-546X

VL - 75

SP - 2988

EP - 2991

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Comment on 'Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard

Abstract

Keywords

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