Email this article The Evolution Function of the Operator − (−Δ)v
- Authors: Wachowski W.N.1, Pronin P.I.1
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Affiliations:
- Department of Physics
- Issue: Vol 74, No 1 (2019)
- Pages: 17-23
- Section: Theoretical and Mathematical Physics
- URL: https://journals.rcsi.science/0027-1349/article/view/165069
- DOI: https://doi.org/10.3103/S0027134919010168
- ID: 165069
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Abstract
The evolution function of the differential operator −(−Δ)v in a d-dimensional Euclidean space is calculated. We obtain its analytic expression through the Fox-Wright psi-functions, which is well-defined for both integer and noninteger values of v and d. Possible applications of the obtained functions in quantum field theory and the connection with fractional calculus are discussed.
About the authors
W. N. Wachowski
Department of Physics
Author for correspondence.
Email: vladvakh@gmail.com
Russian Federation, Moscow, 119991
P. I. Pronin
Department of Physics
Author for correspondence.
Email: petr@phys.msu.ru
Russian Federation, Moscow, 119991
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