A sufficient condition for the existence of bound states in a potential

1997 ◽  
Vol 38 (10) ◽  
pp. 4900-4908 ◽  
Author(s):  
K. Chadan ◽  
R. Kobayashi
1986 ◽  
Vol 19 (12) ◽  
pp. 2337-2344 ◽  
Author(s):  
D Bolle ◽  
K Chadan ◽  
G Karner

2018 ◽  
Vol 96 (11) ◽  
pp. 1235-1241
Author(s):  
Fatih Erman

We study the bound state problem for semirelativistic N attractive Dirac δ-potentials in one dimension. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it.


1988 ◽  
Vol 102 ◽  
pp. 129-132
Author(s):  
K.L. Baluja ◽  
K. Butler ◽  
J. Le Bourlot ◽  
C.J. Zeippen

SummaryUsing sophisticated computer programs and elaborate physical models, accurate radiative and collisional atomic data of astrophysical interest have been or are being calculated. The cases treated include radiative transitions between bound states in the 2p4and 2s2p5configurations of many ions in the oxygen isoelectronic sequence, the photoionisation of the ground state of neutral iron, the electron impact excitation of the fine-structure forbidden transitions within the 3p3ground configuration of CℓIII, Ar IV and K V, and the mass-production of radiative data for ions in the oxygen and fluorine isoelectronic sequences, as part of the international Opacity Project.


Author(s):  
John H. Luft

With information processing devices such as radio telescopes, microscopes or hi-fi systems, the quality of the output often is limited by distortion or noise introduced at the input stage of the device. This analogy can be extended usefully to specimen preparation for the electron microscope; fixation, which initiates the processing sequence, is the single most important step and, unfortunately, is the least well understood. Although there is an abundance of fixation mixtures recommended in the light microscopy literature, osmium tetroxide and glutaraldehyde are favored for electron microscopy. These fixatives react vigorously with proteins at the molecular level. There is clear evidence for the cross-linking of proteins both by osmium tetroxide and glutaraldehyde and cross-linking may be a necessary if not sufficient condition to define fixatives as a class.


2014 ◽  
Vol 59 (11) ◽  
pp. 1065-1077 ◽  
Author(s):  
A.V. Nesterov ◽  
◽  
V.S. Vasilevsky ◽  
T.P. Kovalenko ◽  
◽  
...  

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