B. Ivlev Department of Physics and Astronomy and NanoCenter University of South Carolina, Columbia, SC 29208 and Instituto de F´ısica, Universidad Aut´onoma de San Luis Potos´ı San Luis Potos´ı, S. L. P. 78000 Mexico
Quantum tunneling between two potential wells in a magnetic field can be strongly increased when the potential barrier varies in the direction perpendicular to the line connecting the two wells and remains constant along this line. An oscillatory structure of the wave function is formed in the direction joining the wells. The resulting motion can be coherent like motion in a conventional narrow band periodic structure. A particle penetrates the barrier over a long distance which strongly contrasts to WKB-like tunneling. The whole problem is stationary. A not very small tunneling transparency can be set between two quantum wires with real physical parameters and separated by a long potential barrier. The phenomenon is connected to Euclidean resonance
