Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 147-154.

Monotonicity and bounds on Bessel functions

Larry Landau

I survey my recent results on monotonicity with respect to order of general Bessel functions, which follow from a new identity and lead to best possible uniform bounds. Application may be made to the "spreading of the wave packet" for a free quantum particle on a lattice and to estimates for perturbative expansions.

Published July 12, 2000.
Mathematics Subject Classifications: 33C10.
Key words: Bessel function, best uniform bound, quantum particle on a lattice.

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Larry Landau
Mathematics Department
King's College London
The Strand
London WC2R 2LS UK

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