On a complete basis in the space of rotationally invariant operators of \(N\) quantum spins \(1/2\)

DOI10.1134/S0081543821020243zbMath1468.81060OpenAlexW3183833583MaRDI QIDQ2041567

F. G. Uskov

Publication date: 23 July 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821020243

zbMATH Keywords

quantum spin systemsPauli matricesisotropic Heisenberg interactionoperator basis

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spinor and twistor methods applied to problems in quantum theory (81R25) Clifford algebras, spinors (15A66) Special bases (entangled, mutual unbiased, etc.) (81P55)

Uses Software

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Cites Work

• QUANTUM INTEGRALS OF MOTION FOR THE HEISENBERG SPIN CHAIN
• Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries
• Squaring parametrization of constrained and unconstrained sets of quantum states

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