Bloch and Wannier functions composed of Gaussian orbitals—analyticity, localization, and expectation values

DOI10.1063/1.532297zbMath1042.81536OpenAlexW2034877523MaRDI QIDQ4260572

Peter Zeiner, B. L. Davies, R. Dirl

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532297

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Elliptic functions and integrals (33E05)

Related Items (1)

Complete sets of Bloch and Wannier functions composed of oscillator eigenfunctions

Cites Work

• Existence of the exponentially localized Wannier functions
• Analytic Properties of Bloch Waves and Wannier Functions
• The Structure of Electronic Excitation Levels in Insulating Crystals

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