Semiclassical quantization of multidimensional systems

Nonlinearity ◽  
1992 ◽  
Vol 5 (4) ◽  
pp. 805-866 ◽  
Author(s):  
E B Bogomolny
Keyword(s):  
Multidimensional Systems ◽  
Semiclassical Quantization

scholarly journals Semiclassical quantization of multidimensional systems

1980 ◽  
Vol 73 (10) ◽  
pp. 5400-5401 ◽  
Author(s):  
Ramakrishna Ramaswamy ◽  
P. Siders ◽  
R. A. Marcus
Keyword(s):  
Multidimensional Systems ◽  
Semiclassical Quantization

Semiclassical quantization of non-Hermitian multidimensional systems using Hamilton–Jacobi equation

2007 ◽  
Vol 85 (12) ◽  
pp. 1481-1490 ◽  
Author(s):  
A Nanayakkara
Keyword(s):  
Jacobi Equation ◽  
Good Accuracy ◽  
Equation Of Motion ◽  
Multidimensional Systems ◽  
Semiclassical Quantization ◽  
Classical Trajectories ◽  
Action Variables ◽  
Hamilton Jacobi Equation

The Hamilton–Jacobi equation of motion is solved in action variables for non-Hermitian systems. Both real and complex semiclassical eigenvalues are obtained that make action variables into integers. This study shows, regardless of the existence of periodic or quasi-periodic classical trajectories, Hamilton–Jacobi methods can be applied to quantize some complex non-Hermitian systems with a good accuracy. PACS Nos.: 23.23.+x, 56.65.Dy

scholarly journals Semiclassical quantization of spinning strings in AdS4× ℂℙ3

2008 ◽  
Vol 2008 (11) ◽  
pp. 089-089 ◽  
Author(s):  
Luis F Alday ◽  
Gleb Arutyunov ◽  
Dmitri Bykov
Keyword(s):  
Semiclassical Quantization
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