Abstract
Magnetic resonance spectroscopy can normally be formulated in terms of the response of frequency modulated oscillators to an external, resonant probe field. Experimental observation of the response lineshape then provides information both on the Hamiltonian of the resonating center, as well as on the underlying dynamics responsible for the frequency modulation. We introduce a model for the modulation process, for which the oscillator response can be evaluated exactly by algebraic methods. The lineshape functions can be derived in closed form, and their analytical structure in the frequency domain investigated in great detail.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R. Kubo, J. Math. Phys. 4, 174 (1963)
G. Moro and J. Freed, J. Chem. Phys. 74, 3757 (1981)
J. Norris and S. Weissman, J. Phys. Chem. 73, 3119 (1969)
G. Kothe, Mol. Phys. 33, 147 (1977)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
van Faassen, E. (1990). Frequency Modulated Oscillators with Soluble Dynamics: A Model for Resonance Spectroscopy. In: Mehring, M., von Schütz, J.U., Wolf, H.C. (eds) 25th Congress Ampere on Magnetic Resonance and Related Phenomena. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76072-3_217
Download citation
DOI: https://doi.org/10.1007/978-3-642-76072-3_217
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53136-4
Online ISBN: 978-3-642-76072-3
eBook Packages: Springer Book Archive