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Exact diagonalization of the XY-Hamiltonian of open linear chains with periodic coupling constants and its application

2005/10/31 by K. E. Feldman · 15 citations
Chemistry · Mathematics · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Condensed matter physics #Coupling constant #Hamiltonian (control theory) #Mathematics #Molecular spectroscopy and chirality #Physics #Quantum #Quantum mechanics #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #Spins #cond-mat.other #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1088/0305-4470/39/5/003

published in Journal of Physics A Mathematical and General 39(5), 1039-1056 (Institute of Physics) · 21 pages + 1 figure (to download separately via ps-format)

arxiv created 2005/11/09 · openalex publication_date 2006/01/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A new method of diagonalization of the XY-Hamiltonian of inhomogeneous open linear chains with periodic (in space) changing Larmor frequencies and coupling constants is developed. As an example of application, multiple-quantum dynamics of an inhomogeneous chain consisting of 1001 spins is investigated. Intensities of multiple-quantum coherences are calculated for arbitrary inhomogeneous chains in the approximation of the next-nearest interactions.

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