scholarly journals Degenerate perturbation theory in thermoacoustics: high-order sensitivities and exceptional points

2020 ◽  
Vol 903 ◽  
Author(s):  
Alessandro Orchini ◽  
Luca Magri ◽  
Camilo F. Silva ◽  
Georg A. Mensah ◽  
Jonas P. Moeck
Keyword(s):  
Perturbation Theory ◽  
High Order ◽  
Exceptional Points ◽  
Degenerate Perturbation Theory

Abstract

The application of analytical methods in degenerate perturbation theory

1974 ◽  
Vol 21 (3) ◽  
pp. 1229-1233
Author(s):  
A. G. Makhanek ◽  
V. S. Korol'kov ◽  
A. F. Fedorov
Keyword(s):  
Perturbation Theory ◽  
Analytical Methods ◽  
Degenerate Perturbation Theory

THE CALCULATION OF VARIOUS QUANTITIES WITHIN PERTURBATION THEORY AT THE 3- AND 4-LOOP ORDER

1995 ◽  
Vol 06 (04) ◽  
pp. 513-518 ◽  
Author(s):  
T. VAN RITBERGEN ◽  
J.A.M. VERMASEREN ◽  
S.A. LARIN ◽  
P. NOGUEIRA
Keyword(s):  
Perturbation Theory ◽  
Quark Mass ◽  
Decay Rates ◽  
High Order ◽  
Loop Order ◽  
Perturbative Calculations ◽  
Methods And Techniques ◽  
Mass Expansion

We discuss methods and techniques that were recently used in the following high order perturbative calculations: the large quark mass expansion of the decay rates Z0→ hadrons and τ→ν+ hadrons and the calculation of various quantities for deep inelastic lepton hadron scattering. Progress on the automatization of some general procedures is discussed.

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