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241.
Quantal penetration through a (stationary) one-dimensional potential barrier is considered as a time evolution of an initially
prepared wave packet. The large-time asymptotics of the process is concerned. Locality of the potential imposes certain analytical
properties of the interaction amplitudes in the energy representation. The results are presented in terms of development of
the phase-space (Wigner's) quasi-distribution. The phase-space evolution kernel is constructed, and it is shown that in the
presence of a positive potential no part of the distribution is transported faster than the free particle. For the case of
a small initial momentum uncertainty, the deformation of the coordinate density is considered, including a possible advance
of its maximum, which would not mean any noncausal signal transport.
Supported by G. I. F. 相似文献
242.
Quasi-invariant domain constants 总被引:3,自引:0,他引:3
Five domain constants are studied in our paper, all related to the hyperbolic geometry in hyperbolic plane regions which are
uniformly perfect (in Pommerenke’s terminology). Relations among these domain constants are obtained, from which bounds are
derived for the variance ratio of each constant under conformal mappings of the regions, and we also show that each constant
may be used to characterize uniformly perfect regions.
The authors wish to thank the University of California, San Diego for its hospitality during the 1988–89 academic year when
this research was begun.
Supported by the Landau Center for Mathematical Research in Analysis.
Research partially supported by NSF Grant No. DMS-8801439. 相似文献
243.
244.
Yoav Segev 《Geometriae Dedicata》1988,25(1-3):159-219
245.
This paper explores an approximate method for solving a routing problem in a four-level distribution which has “double-ended” demand. Routes are represented as columns in a linear program and column generation is used to improve the solution by generating new routes. The generation of new routes is based on an LP sub-problem. Its solution is rounded down to integer values to insure its feasibility as a route for inclusion in the restricted master problem. Finally, an illustrative problem is solved. 相似文献
246.
Reuven Harmelin 《Israel Journal of Mathematics》1982,43(3):244-254
Several properties of a certain series of differential operators which are invariant under the Möbius group (Aharonov invariants) are proved, and in terms of this series new conditions for univalence and quasiconformal extendability of meromorphic functions are established. 相似文献
247.
248.
249.
250.
Reuven Peleg 《Israel Journal of Mathematics》1971,9(3):330-336
Using a technique of R. Ellis we prove the existence of many weakly mixing (w.m.) flows which are distal extensions of a given
w.m. flow. Then we indicate two w.m. minimal flows whose product has a minimal non-w.m. subflow.
This work was done under the helpful supervision of Professor H. Furstenberg as a part of the author’s Ph.D. thesis to be
submitted to the Hebrew University of Jerusalem. 相似文献