On the form factor for the unitary group

2004/11/29 by Mirko Degli Esposti, Andreas Knauf · 6 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algebra over a field #Circular ensemble #Computer science #Factor (programming language) #Form factor (electronics) #Group (periodic table) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Physics #Pure mathematics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Semiclassical physics #Theoretical physics #Unitary group #Unitary matrix #Unitary state

paper · doi:10.1063/1.1814419

published in Journal of Mathematical Physics 45(12), 4957-4979 (American Institute of Physics)

openalex publication_date 2004/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15

Abstract

We study the combinatorics of the contributions to the form factor of the group U(N) in the large N limit. This relates to questions about semiclassical contributions to the form factor of quantum systems described by the unitary ensemble.

Cited by

• Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation

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