Commissioning Results of Superconducting Magnet System for the Neutrino Beam Line
The first commissioning of a magnet system for the neutrino beam line in the J-PARC has been performed from January to March, 2009. The magnet system could be cooled down successfully in 9 days. RRRs of all the magnets and joint resistances in the magnet string were measured to be reasonable values. The magnet string composed of 28 superconducting combined function magnets could be excited up to 5000 A after several shutdown tests without a spontaneous quench. A quench protection scheme with a magnet safety system developed by CEA/SACLAY were verified to work properly. As for beam commissioning, the proton beams could pass through the arc section including the superconducting magnet string on the first attempt, and the magnet protection system were verified to work quite well even in a beam induced quench test.
Test Results of Superconducting Magnets for the J-PARC Neutrino Beam Line
Fabrication and cold tests of 32 superconducting combined function magnets including 4 backup magnets for the J-PARC neutrino have been completed. All the magnets reached 7700 A, 105% of maximum operation current, without any spontaneous quenches. Quench protection performance was also confirmed to be safe. In the field measurement during cold tests, all the magnets showed sufficient field quality to fulfill the specification. Reproducibility of the field quality was evaluated to be about the same order of that observed in ordinary cos-thetas magnets, indicating good manufacturing reproducibility.
Explicit solutions for N-dimensional Schrödinger equations with position-dependent mass
With the consideration of spherical symmetry for the potential and mass function, one-dimensional solutions of nonrelativistic Schrodinger equations with spatially varying effective mass are successfully extended to arbitrary dimensions within the frame of recently developed elegant nonperturbative technique, where the BenDaniel-Duke effective Hamiltonian in one dimension is assumed like the unperturbed piece, leading to well-known solutions, whereas the modification term due to possible use of other effective Hamiltonians in one dimension and, together with the corrections coming from the treatments in higher dimensions, are considered as an additional term like the perturbation. Application of the model and its generalization for the completeness are discussed.