Application of group ring algebra to localized and delocalized quantum states in periodic potentials

DOI10.1007/s10910-018-0980-8zbMath1414.81085OpenAlexW2900108511WikidataQ128991527 ScholiaQ128991527MaRDI QIDQ2419194

Daniel P. Biebighauser, Darin J. Ulness

Publication date: 29 May 2019

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

Full work available at URL: https://doi.org/10.1007/s10910-018-0980-8

zbMATH Keywords

Mathieu functionsgroup ring algebralocalized quantum states

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

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• Cryptanalysis of a system using matrices over group rings
• Idempotents in group algebras and minimal abelian codes
• Structure, dynamics and spectroscopy of single molecules: A challenge to quantum mechanics
• Clifford algebras obtained by twisting of group algebras
• Symmetric polynomials and the center of the symmetric group ring
• Quantum algorithm for discrete logarithm problem for matrices over finite group rings
• Group algebras and coding theory
• Algebraic theory of finite Fourier transforms
• Public key exchange using matrices over group rings
• Quantum mechanics of periodic systems
• LIMITS and Applications of Group Algebras for Parameterized Problems
• Group Algebra, Convolution Algebra, and Applications to Quantum Mechanics
• Structure theorems for group ring codes with an application to self-dual codes

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