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7
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0003769394
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A. Voros, J. Zinn-Justin, North-Holland, Amsterdam
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M. Berry, in Chaos and Quantum Physics, edited by A. Voros, and J. Zinn-Justin, M.-J. Giannoni (North-Holland, Amsterdam, 1991).
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(1991)
Chaos and Quantum Physics
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Berry, M.1
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8
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85036412244
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This is to be contrasted with the semiclassical approximation in quantum mechanics, where one has to find all the stationary points of the action, irrespective of being minima, maxima, or points of inflection
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This is to be contrasted with the semiclassical approximation in quantum mechanics, where one has to find all the stationary points of the action, irrespective of being minima, maxima, or points of inflection.
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9
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0345826589
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C. A. A. de Carvalho, R. M. Cavalcanti, E. S. Fraga, and S. E. Jorás, Ann. Phys. (N.Y.) 273, 146 (1999).
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(1999)
Ann. Phys. (N.Y.)
, vol.273
, pp. 146
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de Carvalho, C.A.A.1
Cavalcanti, R.M.2
Fraga, E.S.3
Jorás, S.E.4
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10
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85036407095
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in Trends in Theoretical Physics II, edited by H. Falomir, R. E. Gamboa Saraví, and F. A. Schaposnik, AIP Conf. Proc. No. 484 (AIP, Woodbury, NY, 1999) (e-printquant-ph/9903028
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C. A. A. de Carvalho and R. M. Cavalcanti, in Trends in Theoretical Physics II, edited by H. Falomir, R. E. Gamboa Saraví, and F. A. Schaposnik, AIP Conf. Proc. No. 484 (AIP, Woodbury, NY, 1999) (e-print quant-ph/9903028).
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de Carvalho, C.A.A.1
Cavalcanti, R.M.2
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19
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0003498504
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Academic Press, New York
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I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, New York, 1965).
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(1965)
Table of Integrals, Series, and Products
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Gradshteyn, I.S.1
Ryzhik, I.M.2
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21
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0003851731
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M. Abramowitz, I. A. Stegun, Dover, New York
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Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
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(1965)
Handbook of Mathematical Functions
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22
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85036229038
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This definition only makes sense for (Formula presented). For (Formula presented) one must take (Formula presented)with C chosen in such a way that (Formula presented) and (Formula presented) are continuous at (Formula presented). See Ref. 8 for details
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This definition only makes sense for (Formula presented). For (Formula presented) one must take (Formula presented)with C chosen in such a way that (Formula presented) and (Formula presented) are continuous at (Formula presented). See Ref. 8 for details.
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-
-
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23
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85036273191
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order to compute the derivative in Eq. (40), we have approximated (Formula presented) by a rational function using Thiele’s interpolation formula. See Handbook of Mathematical Functions (Ref. 15), formula 25.2.50
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In order to compute the derivative in Eq. (40), we have approximated (Formula presented) by a rational function using Thiele’s interpolation formula. See Handbook of Mathematical Functions (Ref. 15), formula 25.2.50.
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-
-
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24
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85036298673
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For instance, when (Formula presented), Eq. (42) gives values of (Formula presented) (Formula presented), and (Formula presented) that differ from the exact ones by less than 3%, 1%, and 0.1%, respectively
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For instance, when (Formula presented), Eq. (42) gives values of (Formula presented) (Formula presented), and (Formula presented) that differ from the exact ones by less than 3%, 1%, and 0.1%, respectively.
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26
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85036289516
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We conjecture that they are in fact invertible for any (Formula presented), except maybe for a finite number of points
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We conjecture that they are in fact invertible for any (Formula presented), except maybe for a finite number of points.
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27
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85036431194
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S. Coleman, in The Whys of Subnuclear Physics, edited by A. Zichichi (Plenum, New York, 1979); reproduced in S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, 1985)
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S. Coleman, in The Whys of Subnuclear Physics, edited by A. Zichichi (Plenum, New York, 1979); reproduced in S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, 1985).
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