UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-22 1:35

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Conference: Bucharest University Faculty of Physics 2021 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Calculation of metastable states of the quantum Henon-Heiles system


Authors:
Madalina BOCA (1), Alexandru GUČšOIU (1)


Affiliation:
1) Faculty of Physics, University of Bucharest, Romania


E-mail
madalina.boca@unibuc.ro, raj.gutoiu@s.unibuc.ro


Keywords:
Imaginary time evolution, metastable states


Abstract:
We use the imaginary time evolution method in order to solve the energy eigenvalue problem of a Henon-Heiles type system. Our approach allows us to calculate the complex energies of the metastable states of the system. We compare our results with those obtained using a semiclassical approach. We also calculate the bound state energies in the framework of the perturbation theory, treating the cubic term as a perturbation.