676 citations · 5.9k across the 260 of their papers we have counts for
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On the Limit Cycle of an Inflationary Universe
Luca Salasnich
We study the dynamics of a scalar inflaton field with a symmetric double--well potential and prove rigorously the existence of a limit cycle in its phase space. By using analytical…
WKB to all orders and the accuracy of the semiclassical quantization
Marko Robnik, Luca Salasnich
We perform a systematic WKB expansion to all orders for a one-dimensional system with potential . We are able to sum the series to the exact energy spectrum.…
Chaotic features in classical scattering processes between ions and atoms
Fabio Sattin, Luca Salasnich
A numerical study has been done of collisions between protons and hydrogen atoms, treated as classical particles, at low impact velocities. The presence of chaos has been looked fo…
WKB to all orders and accuracy of the semiclassical quantization
Marko Robnik, Luca Salasnich
We perform a systematic WKB expansion to all orders for a one--dimensional system with potential . We are able to sum the series to the exact energy spectrum…
Non--Hyperbolic Dynamics: a Family of Special Functions
Maria Morandi Cecchi, Luca Salasnich
In this paper we present some theorems for a class of non--hyperbolic fixed points on and then analyze a family of functions on the plane which have a non--hyperb…
Semiclassical Expansion for the Angular Momentum
Marko Robnik, Luca Salasnich
After reviewing the WKB series for the Schrödinger equation we calculate the semiclassical expansion for the eigenvalues of the angular momentum operator. This is the first systema…