Lectures on physical and mathematical aspects of Gamow states

2011 ◽  
Author(s):  
Osvaldo Civitarese
Keyword(s):  
Gamow States

Generalisation of the Hellmann-Feynman theorem to Gamow states

1987 ◽  
Vol 20 (10) ◽  
pp. 2859-2864 ◽  
Author(s):  
P Ziesche ◽  
K Kunze ◽  
B Milek
Keyword(s):  
Gamow States ◽  
Feynman Theorem

Gamow states in a rigged hilbert space

1998 ◽  
pp. 34-37
Author(s):  
C. G. Bollini ◽  
O. Civitarese ◽  
A. L. De Paoli ◽  
M. C. Rocca
Keyword(s):  
Hilbert Space ◽  
Rigged Hilbert Space ◽  
Gamow States

scholarly journals Coherent Gamow states for the hyperbolic Pöschl–Teller potential

2019 ◽  
Vol 406 ◽  
pp. 222-232 ◽  
Author(s):  
O. Civitarese ◽  
M. Gadella
Keyword(s):  
Gamow States

Separable potentials from Gamow states

1985 ◽  
Vol 32 (3) ◽  
pp. 685-689 ◽  
Author(s):  
M. Baldo ◽  
L. S. Ferreira ◽  
L. Streit
Keyword(s):  
Gamow States ◽  
Separable Potentials

Gamow states as continuous linear functionals over analytical test functions

1996 ◽  
Vol 37 (9) ◽  
pp. 4235-4242 ◽  
Author(s):  
C. G. Bollini ◽  
O. Civitarese ◽  
A. L. De Paoli ◽  
M. C. Rocca
Keyword(s):  
Continuous Linear ◽  
Test Functions ◽  
Linear Functionals ◽  
Gamow States ◽  
Analytical Test

scholarly journals Jordan blocks and exponentially decaying higher-order Gamow states

1997 ◽  
Vol 27 (5) ◽  
pp. 613-624
Author(s):  
A. Bohm ◽  
M. Loewe ◽  
P. Patuleanu ◽  
C. Püntmann
Keyword(s):  
Higher Order ◽  
Gamow States

scholarly journals STUDY OF GAMOW STATES IN THE RIGGED HILBERT SPACE WITH TEMPERED ULTRADISTRIBUTIONS

2001 ◽  
Vol 04 (04) ◽  
pp. 511-520 ◽  
Author(s):  
A. L. DE PAOLI ◽  
M. A. ESTEVEZ ◽  
M. C. ROCCA ◽  
H. VUCETICH
Keyword(s):  
Hilbert Space ◽  
Short Range ◽  
Short Range Potential ◽  
Rigged Hilbert Space ◽  
Gamow States ◽  
Jost Function ◽  
Range Potential ◽  
Square Well ◽  
Tempered Ultradistributions ◽  
S States

In this work we show that it is possible to extend analytically, and with the use of tempered ultradistributions, the "pseudonorm" defined by T. Berggren for Gamow states. We define this "pseudonorm" for all states determined by the zeros of the Jost function for any short range potential. As an example we study the s-states corresponding to the square well potential.

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