2014/12/01 by J. S. Dowker, Dowker, J. S.
Chemistry · Computer Science · Mathematics · #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Anomaly (physics) #Chemistry #Dirichlet distribution #Economics #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Matrix Theory and Algorithms #Multiplicative function #Operator (biology) #Order (exchange) #Physics #Pure mathematics #Quantum mechanics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Von Neumann architecture
paper · pdf · doi:10.48550/arxiv.1412.0549
openalex publication_date 2014/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The functional determinant multiplicative anomaly, or defect, is more closely investigated and explicit forms for products of linear operators are produced. I also present formulae for the defect of products of second order operators in terms of that for just two of the factors and discuss the specific cases of the sphere and hemisphere. The difference of Neumann and Dirichlet quantities on the hemisphere is equal to that for spin-1/2 on the rim. This is proved generally.