Zobrazeno 1 - 10
of 26
pro vyhledávání: '"John D. Dollard"'
Autor:
Brian Bourgeois, John D. Dollard
Publikováno v:
Mathematical Methods and Applications of Scattering Theory ISBN: 9783540100232
This article is concerned with the approach to quantum-mechanical scattering theory in which one tries to deduce existence of the M$11er wave operators by studying the stationary-state wave-funcfions of the Hamiltonian. Various applications of this a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35325405a12326720a68926c4d67ba1d
https://doi.org/10.1007/3-540-10023-7_105
https://doi.org/10.1007/3-540-10023-7_105
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Mathematical Physics. 20:1727-1730
We discuss the potential scattering into a cone C in position space of a beam of particles with localized momenta distributed over a set K, and the derivation from time‐dependent scattering theory of the formula ∫Kdk∫CdΩ σk(Ω) [where σk(Ω)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e92466490b96ebd579eae5a61733888
https://doi.org/10.1063/1.524257
https://doi.org/10.1063/1.524257
Autor:
John D. Dollard
Publikováno v:
Journal of Mathematical Physics. 17:46-51
A simple proof is given that Kato’s invariance principle holds for a class of generalized piecewise linear (GPL) functions, under the sole assumption of existence of the Mo/ller wave operators. The invariance principle for GPL functions is viewed a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd30213197e3fee655d55334b5f278c3
https://doi.org/10.1063/1.522779
https://doi.org/10.1063/1.522779
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Functional Analysis. 28:355-368
This paper continues the joint work of the authors begun in the article “On Strong Product Integration” [J. Functional Analysis, submitted]. We consider product integrals along contours; the point of view and development is analogous to the usual
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::adba41453ee24e1d6c40f04d613b4033
https://doi.org/10.1016/0022-1236(78)90092-7
https://doi.org/10.1016/0022-1236(78)90092-7
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Functional Analysis. 28:309-354
Product integration is defined for a very general class of bounded-operator-valued functions on a Banach space X. Previous assumptions of continuity or Riemann-integrability of such functions are not needed. Properties of the product integral in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76e42a28879e732504cadbb6b8743c46
https://doi.org/10.1016/0022-1236(78)90091-5
https://doi.org/10.1016/0022-1236(78)90091-5
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Product Integration with Application to Differential Equations. :193-214
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41976b7d25b13c280ce9428a98a15cdd
https://doi.org/10.1017/cbo9781107340701.012
https://doi.org/10.1017/cbo9781107340701.012
Autor:
Charles N. Friedman, John D. Dollard
Publikováno v:
Annals of Physics. 111:251-266
We prove the existence of the Moller wave operators and the unitarity of the S operator for quantum mechanical potential scattering by potentials of the form This includes the Special case V(r) = sin (r) r .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6602c4f13a7bdbbf3f37d57b1fe94463
https://doi.org/10.1016/0003-4916(78)90230-0
https://doi.org/10.1016/0003-4916(78)90230-0
Autor:
John D. Dollard, Charles N. Friedman
Publikováno v:
Journal of Mathematical Analysis and Applications. 66(2):394-398
We present some conditions which ensure that the solution Y(x) of the ordinary differential equation Y′(x) = A(x) Y(x), Y(x0) = I, where x0 ⩽ x < ∞ and A(x), Y(x) are n × n complex matrix-valued functions with A(x) continuous, has a nonsingula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::289c9a5c20ddf198f9fd49175abda664
Autor:
Charles N. Friedman, John D. Dollard
Publikováno v:
Annals of Physics. 119:71-75
For free and interacting Hamiltonians, H0 and H = H0 + V(r) acting in L2(R3, dx) with V(r) a radial potential satisfying certain technical conditions, and for ϕ a real function on R with ϕ′ > 0 except on a discrete set, we prove that the Moller w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::614d53b034f96754ae6e20f47447026d
https://doi.org/10.1016/0003-4916(79)90248-3
https://doi.org/10.1016/0003-4916(79)90248-3
Autor:
John D. Dollard
Publikováno v:
Journal of Mathematical Physics. 5:729-738
A definition of asymptotic convergence is given for nonrelativistic time‐dependent scattering problems involving Coulomb potentials. Convergence proofs have been found both for potential and for n‐body multichannel scattering. For pure Coulomb po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39c52c97cd9dfaa6124aabaf4e15603c
https://doi.org/10.1063/1.1704171
https://doi.org/10.1063/1.1704171