Semiclassical asymptotics of the spectrum of a nonselfadjoint operator on the sphere

2009 ◽  
Vol 16 (2) ◽  
pp. 309-314 ◽  
Author(s):  
H. Roohian ◽  
A. I. Shafarevich
Keyword(s):  
Semiclassical Asymptotics ◽  
Nonselfadjoint Operator

scholarly journals Semiclassical asymptotics of nonlinear Fokker-Plank equation for distributions of asset returns

2009 ◽  
Vol 1 (1) ◽  
pp. 41-49 ◽  
Author(s):  
Andrey Yur'evich Trifonov ◽  
E. A. Masalova ◽  
Aleksandr Vasilievich Shapovalov
Keyword(s):  
Asset Returns ◽  
Semiclassical Asymptotics ◽  
Fokker Plank Equation

scholarly journals Strong Phase-Space Semiclassical Asymptotics

2011 ◽  
Vol 43 (5) ◽  
pp. 2116-2149 ◽  
Author(s):  
Agissilaos Athanassoulis ◽  
Thierry Paul
Keyword(s):  
Phase Space ◽  
Semiclassical Asymptotics ◽  
Strong Phase

scholarly journals Local scaling asymptotics in phase space and time in Berezin–Toeplitz quantization

2014 ◽  
Vol 25 (06) ◽  
pp. 1450060 ◽  
Author(s):  
Roberto Paoletti
Keyword(s):  
Phase Space ◽  
Evolution Operator ◽  
Quantum Evolution ◽  
Classical Dynamics ◽  
Semiclassical Asymptotics ◽  
Local Scaling ◽  
Space And Time

This paper deals with the local semiclassical asymptotics of a quantum evolution operator in the Berezin–Toeplitz scheme, when both time and phase space variables are subject to appropriate scalings in the neighborhood of the graph of the underlying classical dynamics. Global consequences are then drawn regarding the scaling asymptotics of the trace of the quantum evolution as a function of time.

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