Extended Sobolev and Hilbert spaces and approximate stationary solutions for electronic systems within the nonlinear Schrödinger equation

DOI10.1023/A:1011085616290zbMath0996.81012OpenAlexW272424563WikidataQ62511399 ScholiaQ62511399MaRDI QIDQ5934342

Ramon Carbó-Dorca, Emili Besalú

Publication date: 19 June 2001

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011085616290

zbMATH Keywords

Sobolev spacesnonlinear Schrödinger equation\(N\)-electron wavefunctionsextended Hilbert spaceskinetic energy distributionnested sums formalismquantum self-similarity measures

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Software, source code, etc. for problems pertaining to quantum theory (81-04)

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