scholarly journals On a Quantum Waveguide with a Small PT-symmetric Perturbation

10.14311/938 ◽  
2007 ◽  
Vol 47 (2-3) ◽  
Author(s):  
D. Borisov

We consider a quantum waveguide with a small PT-symmetric perturbation described by a potential. We study the spectrum of such a system and show that the perturbation can produce eigenvalues near the threshold of the continuous spectrum. 


1967 ◽  
Vol 28 ◽  
pp. 177-206
Author(s):  
J. B. Oke ◽  
C. A. Whitney

Pecker:The topic to be considered today is the continuous spectrum of certain stars, whose variability we attribute to a pulsation of some part of their structure. Obviously, this continuous spectrum provides a test of the pulsation theory to the extent that the continuum is completely and accurately observed and that we can analyse it to infer the structure of the star producing it. The continuum is one of the two possible spectral observations; the other is the line spectrum. It is obvious that from studies of the continuum alone, we obtain no direct information on the velocity fields in the star. We obtain information only on the thermodynamic structure of the photospheric layers of these stars–the photospheric layers being defined as those from which the observed continuum directly arises. So the problems arising in a study of the continuum are of two general kinds: completeness of observation, and adequacy of diagnostic interpretation. I will make a few comments on these, then turn the meeting over to Oke and Whitney.





2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Jeffrey B. Parker ◽  
J. W. Burby ◽  
J. B. Marston ◽  
Steven M. Tobias


Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1092
Author(s):  
Qing Duan ◽  
Lu Wang ◽  
Hongwei Kang ◽  
Yong Shen ◽  
Xingping Sun ◽  
...  

Swarm-based algorithm can successfully avoid the local optimal constraints, thus achieving a smooth balance between exploration and exploitation. Salp swarm algorithm(SSA), as a swarm-based algorithm on account of the predation behavior of the salp, can solve complex daily life optimization problems in nature. SSA also has the problems of local stagnation and slow convergence rate. This paper introduces an improved salp swarm algorithm, which improve the SSA by using the chaotic sequence initialization strategy and symmetric adaptive population division. Moreover, a simulated annealing mechanism based on symmetric perturbation is introduced to enhance the local jumping ability of the algorithm. The improved algorithm is referred to SASSA. The CEC standard benchmark functions are used to evaluate the efficiency of the SASSA and the results demonstrate that the SASSA has better global search capability. SASSA is also applied to solve engineering optimization problems. The experimental results demonstrate that the exploratory and exploitative proclivities of the proposed algorithm and its convergence patterns are vividly improved.



2004 ◽  
Vol 69 (4) ◽  
Author(s):  
Gursoy B. Akguc ◽  
Linda E. Reichl ◽  
Anil Shaji ◽  
Michael G. Snyder


1993 ◽  
Vol 175 (2) ◽  
pp. 339-348
Author(s):  
J. M. Mao ◽  
Y. Huang ◽  
J. M. Zhou


1927 ◽  
Vol 203 (5) ◽  
pp. 737-738
Author(s):  
G.F.S.
Keyword(s):  


2000 ◽  
Vol 88 (1) ◽  
pp. 300-308 ◽  
Author(s):  
Ben-Yuan Gu ◽  
Yan Zhang ◽  
Xue-Hua Wang


Sign in / Sign up

Export Citation Format

Share Document