Abstract
We determine the essential spectrum and prove the absence of singular continuous spectrum for a class of boson quantum field models with cutoffs. Our main purpose, however, is to show the power of an algebraic technique based on the study of the C*-algebra generated by the operators which are natural candidates as hamiltonians of the system in a given physical situation.
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References
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© 2001 Springer Basel AG
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Georgescu, V. (2001). Spectral Analysis of Quantum Field Models with a Particle Number Cutoff. In: Demuth, M., Schulze, BW. (eds) Partial Differential Equations and Spectral Theory. Operator Theory: Advances and Applications, vol 126. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8231-6_16
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DOI: https://doi.org/10.1007/978-3-0348-8231-6_16
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9483-8
Online ISBN: 978-3-0348-8231-6
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