Short-range potential and a model of operator extension theory for resonators with semitransparent boundary

1999 ◽  
Vol 65 (5) ◽  
pp. 590-597
Author(s):  
I. Yu. Popov
Keyword(s):  
Short Range ◽  
Extension Theory ◽  
Short Range Potential ◽  
Range Potential ◽  
Operator Extension

The operator extension theory, semitransparent surface and short range potential

1995 ◽  
Vol 118 (3) ◽  
pp. 555-563 ◽  
Author(s):  
I. Yu. Popov
Keyword(s):  
Quantum Dot ◽  
Short Range ◽  
Solvable Model ◽  
Extension Theory ◽  
Model Operator ◽  
Short Range Potential ◽  
Range Potential ◽  
Operator Extensions ◽  
Operator Extension

AbstractSolvable model of a quantum dot as a resonator with semitransparent boundary is constructed in the framework of the operator extensions theory. It is proved that the model operator is a limit of the short range Hamiltonians in the norm resolvent sense.

Bound States of Spinless Particles in a Short-Range Potential

2015 ◽  
Vol 70 (4) ◽  
pp. 245-249 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Antonio Soares de Castro
Keyword(s):  
Short Range ◽  
Bound States ◽  
Bound State ◽  
Scalar Coupling ◽  
Spinless Particle ◽  
Vector Coupling ◽  
Short Range Potential ◽  
Range Potential ◽  
Constraint Relation ◽  
Potential Parameters

AbstractWith a general mixing of vector and scalar couplings in a two-dimensional world, a short-range potential is used to explore certain features of the bound states of a spinless particle. Bound-state solutions are found in terms of the Gauss hypergeometric series when the potential parameters obey a certain constraint relation limiting the dosage of a vector coupling. The appearance of the Schiff–Snyder–Weinberg effect for a strong vector coupling and a short-range potential as well as its suppression by the addition of a scalar coupling is discussed.

Magneto-thermoelectric effects in two-dimensional quantum well: role of short-range potential

2009 ◽  
Vol 81 (1) ◽  
pp. 015701 ◽  
Author(s):  
F M Hashimzade ◽  
Kh A Hasanov ◽  
B H Mehdiyev ◽  
S Cakmak
Keyword(s):  
Quantum Well ◽  
Short Range ◽  
Two Dimensional ◽  
Thermoelectric Effects ◽  
Short Range Potential ◽  
Range Potential
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