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 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.

Physical representations of Gamow states in a rigged Hilbert space

1996 ◽  
Vol 382 (3) ◽  
pp. 205-208 ◽  
Author(s):  
C.G. Bollini ◽  
O. Civitarese ◽  
A.L. De Paoli ◽  
M.C. Rocca
Keyword(s):  
Hilbert Space ◽  
Rigged Hilbert Space ◽  
Gamow States
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