Semiclassical States in Modular Representations

2020 ◽  
pp. 195-200
Author(s):  
Felix Lev
Keyword(s):  
Modular Representations ◽  
Semiclassical States

scholarly journals Semiclassical calculations of the quadruple excited four-electron systems

2007 ◽  
pp. 33-44
Author(s):  
N. Simonovic ◽  
M. Predojevic ◽  
V. Pankovic ◽  
P. Grujic
Keyword(s):  
Energy Levels ◽  
Point Of View ◽  
Interstellar Space ◽  
Vibrational Modes ◽  
Electron Systems ◽  
Atomic Systems ◽  
Excited Atoms ◽  
Relative Contribution ◽  
Quantum Numbers ◽  
Semiclassical States

Highly excited atoms acquire very large dimensions and can be present only in a very rarified gas medium, such as the interstellar space. Multiply excited beryllium-like systems, when excited to large principal quantum numbers, have a radius of r ? 10 ?. We examine the semiclassical spectrum of quadruple highly excited four-electron atomic systems for the plane model of equivalent electrons. The energy of the system consists of rotational and vibrational modes within the almost circular orbit approximation, as used in a previous calculation for the triply excited three-electron systems. Here we present numerical results for the beryllium atom. The lifetimes of the semiclassical states are estimated via the corresponding Lyapunov exponents. The vibrational modes relative contribution to the energy levels rises with the degree of the Coulombic excitation. The relevance of the results is discussed both from the observational and heuristic point of view.

scholarly journals Modular representations of the ortho-symplectic supergroups

2007 ◽  
Vol 96 (1) ◽  
pp. 251-271 ◽  
Author(s):  
Bin Shu ◽  
Weiqiang Wang
Keyword(s):  
Modular Representations

scholarly journals Coherent semiclassical states for loop quantum cosmology

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Alejandro Corichi ◽  
Edison Montoya
Keyword(s):  
Quantum Cosmology ◽  
Loop Quantum Cosmology ◽  
Semiclassical States

scholarly journals Semiclassical states for Choquard type equations with critical growth: critical frequency case

Nonlinearity ◽  
2020 ◽  
Vol 33 (12) ◽  
pp. 6695-6728
Author(s):  
Yanheng Ding ◽  
Fashun Gao ◽  
Minbo Yang
Keyword(s):  
Critical Frequency ◽  
Critical Growth ◽  
Semiclassical States
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