2012/09/01 by V. M. Zharkov, Viktor Zharkov · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Chemistry #Computer science #Derivative (finance) #Functional integration #Hubbard model #Integral equation #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Operator (biology) #Parametric statistics #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Statistics #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/s11232-012-0115-5
published in Theoretical and Mathematical Physics 172(3), 1300-1314 (Pleiades Publishing) · 18 pages
openalex publication_date 2012/09/01 · arxiv created 2012/10/03 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In a new functional integral approach proposed for the model, we find the regime with a deformed integration measure in which the standard integral is replaced with the Jackson integral. We indicate the relation to a p-adic functional integral. For the magnetic and electronic subsystems in the effective functional that results from the operator formulation of the Hubbard model, we find the two-parametric quantum derivative resulting in the appearance of the quantum SUrq(2) group. We establish the relation to the one-parametric quantum derivative and the standard derivative.