TY - JOUR
T1 - Scattering theory from microscopic first principles
AU - Dürr, Detlef
AU - Goldstein, Sheldon
AU - Teufel, Stefan
AU - Zanghi, Nino
N1 - Funding Information:
Dedicated to Joel Lebowitz, with love and admiration, for his 70th birthday. Supported in part by the DFG, by NSF Grant No. DMS95-04556, and by the INFN.
PY - 2000/5/1
Y1 - 2000/5/1
N2 - The basic formula of abstract scattering theory concerns the probability of finding a system in the free state g asymptotically in the future given that it was in the free state f. This is expressed in terms of the basic object of scattering theory, the scattering operator S, usually called the S-matrix. A derivation of abstract scattering theory is derived from the microscopic first principles defined by Bohmian mechanics. The importance of the flux-across-surfaces theorem is emphasized for the derivation, and of randomness in the impact parameter of the initial wave function, even for an, inevitably inadequate, orthodox derivation.
AB - The basic formula of abstract scattering theory concerns the probability of finding a system in the free state g asymptotically in the future given that it was in the free state f. This is expressed in terms of the basic object of scattering theory, the scattering operator S, usually called the S-matrix. A derivation of abstract scattering theory is derived from the microscopic first principles defined by Bohmian mechanics. The importance of the flux-across-surfaces theorem is emphasized for the derivation, and of randomness in the impact parameter of the initial wave function, even for an, inevitably inadequate, orthodox derivation.
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U2 - 10.1016/S0378-4371(99)00523-3
DO - 10.1016/S0378-4371(99)00523-3
M3 - Article
AN - SCOPUS:0343826841
SN - 0378-4371
VL - 279
SP - 416
EP - 431
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -