Time asymmetric quantum theory - II. Relativistic resonances from S-matrix poles

Fortschritte der Physik

Volumn 51, Issue 6, 2003, Pages 569-603

  Bohm, A ^a   Kaldass, H ^a,b   Wickramasekara, S ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b DESY   (Germany)

Author keywords

Poincar semigroup; Relativistic Gamow vectors; Relativistic resonances; Resonance lineshape; Rigged Hubert Spaces

Indexed keywords

EID: 0038037733     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/prop.200310074     Document Type: Article

References (75)

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52. μ/M" the same idea has been suggested by H. van Dam and L. C. Biedenham, Phys. Rev. D 14, 405 (1976). Velocity eigenvectors were reintroduced around 1990 as states of the Heavy Quark Effective Theory, again to reduce the number of independent form factors: A. F. Falk, H. Georgi, B. Grinstein, and M. B. Wise, Nucl. Phys. B 343, 1 (1990); H. Georgi in: Proceedings of the Theoretical Advanced Study Institute, edited by R. K. Ellis et al. (World Scientific, 1992) and references therein. In the latter approach one often gets the impression that the use of velocity basis vectors leads to approximate results. This, however is not the case if one takes into consideration that velocity eigenkets do not represent physical states, but that physical state vectors are obtained from the kets as "continuous superpositions" using the right measure in the integration. If this is done, the values of observable quantities do not depend upon whether one uses the velocity basis or the momentum basis, only that the use of the velocity basis often provides a more practical means of computation, by leading to form factors that do not depend upon the mass.
53. μ/M" the same idea has been suggested by H. van Dam and L. C. Biedenham, Phys. Rev. D 14, 405 (1976). Velocity eigenvectors were reintroduced around 1990 as states of the Heavy Quark Effective Theory, again to reduce the number of independent form factors: A. F. Falk, H. Georgi, B. Grinstein, and M. B. Wise, Nucl. Phys. B 343, 1 (1990); H. Georgi in: Proceedings of the Theoretical Advanced Study Institute, edited by R. K. Ellis et al. (World Scientific, 1992) and references therein. In the latter approach one often gets the impression that the use of velocity basis vectors leads to approximate results. This, however is not the case if one takes into consideration that velocity eigenkets do not represent physical states, but that physical state vectors are obtained from the kets as "continuous superpositions" using the right measure in the integration. If this is done, the values of observable quantities do not depend upon whether one uses the velocity basis or the momentum basis, only that the use of the velocity basis often provides a more practical means of computation, by leading to form factors that do not depend upon the mass.
54. μ/M" the same idea has been suggested by H. van Dam and L. C. Biedenham, Phys. Rev. D 14, 405 (1976). Velocity eigenvectors were reintroduced around 1990 as states of the Heavy Quark Effective Theory, again to reduce the number of independent form factors: A. F. Falk, H. Georgi, B. Grinstein, and M. B. Wise, Nucl. Phys. B 343, 1 (1990); H. Georgi in: Proceedings of the Theoretical Advanced Study Institute, edited by R. K. Ellis et al. (World Scientific, 1992) and references therein. In the latter approach one often gets the impression that the use of velocity basis vectors leads to approximate results. This, however is not the case if one takes into consideration that velocity eigenkets do not represent physical states, but that physical state vectors are obtained from the kets as "continuous superpositions" using the right measure in the integration. If this is done, the values of observable quantities do not depend upon whether one uses the velocity basis or the momentum basis, only that the use of the velocity basis often provides a more practical means of computation, by leading to form factors that do not depend upon the mass.
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