Complex scaling and algebraic calculation of resonances

1986 ◽  
Vol 33 (4) ◽  
pp. 2833-2835 ◽  
Author(s):  
I. Benjamin ◽  
R. D. Levine
Keyword(s):  
Complex Scaling ◽  
Algebraic Calculation

scholarly journals Localization of shadow poles by complex scaling

1993 ◽  
Vol 48 (4) ◽  
pp. 3390-3393 ◽  
Author(s):  
Attila Csótó
Keyword(s):  
Complex Scaling

Three-alpha resonant state and its contribution in continuum spectrum

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2351-2358
Author(s):  
C. Kurokawa ◽  
K. Katō
Keyword(s):  
Boundary Condition ◽  
Resonant State ◽  
Level Density ◽  
Complex Scaling ◽  
Scaling Method ◽  
Complex Scaling Method ◽  
Resonant States ◽  
Complex Eigenvalues ◽  
Three Body ◽  
The Continuum

The 3α resonant states of 12 C are investigated by taking into account the correct boundary condition for three-body resonant states. In order to show how the 3α resonant states having complex eigenvalues contribute to the real energy, we calculated the Continuum Level Density in the Complex Scaling Method.

Transparent boundary conditions for discretized non-Hermitian eigenvalue problems

2021 ◽  
pp. 2150138
Author(s):  
Jonathan Heinz ◽  
Miroslav Kolesik
Keyword(s):  
Quantum Mechanics ◽  
Eigenvalue Problem ◽  
Boundary Conditions ◽  
Eigenvalue Problems ◽  
Complex Scaling ◽  
Transparent Boundary Conditions ◽  
Drastic Reduction ◽  
Optical Cavities ◽  
Energy Dependent ◽  
Lossy Waveguides

A method is presented for transparent, energy-dependent boundary conditions for open, non-Hermitian systems, and is illustrated on an example of Stark resonances in a single-particle quantum system. The approach provides an alternative to external complex scaling, and is applicable when asymptotic solutions can be characterized at large distances from the origin. Its main benefit consists in a drastic reduction of the dimesnionality of the underlying eigenvalue problem. Besides application to quantum mechanics, the method can be used in other contexts such as in systems involving unstable optical cavities and lossy waveguides.

scholarly journals Virtual states in the complex scaling method

2018 ◽  
Author(s):  
Kiyoshi Katō ◽  
Myagmarjav Odsuren ◽  
Takayuki Myo ◽  
Hiroshi Masui ◽  
Yuma Kikuchi
Keyword(s):  
Complex Scaling ◽  
Scaling Method ◽  
Complex Scaling Method
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