A modular-invariant modified Weierstrass sigma-function as a building block for lowest-Landau-level wavefunctions on the torus

DOI10.1063/1.5042618zbMath1394.81117arXiv1806.00876OpenAlexW3105005506MaRDI QIDQ4583086

F. Duncan M. Haldane

Publication date: 27 August 2018

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

Full work available at URL: https://arxiv.org/abs/1806.00876

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Motion of charged particles (78A35) Elliptic functions and integrals (33E05)

Related Items (2)

The origin of holomorphic states in Landau levels from non-commutative geometry and a new formula for their overlaps on the torus ⋮ Harmonic Functions on Finitely Connected Tori

Cites Work

• Unnamed Item
• Elliptic functions according to Eisenstein and Kronecker: an update
• Elliptic functions according to Eisenstein and Kronecker.
• A new construction of Eisenstein’s completion of the Weierstrass zeta function

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