Abstract: To provide a numerical simulation apparatus capable of executing a numerical simulation with high speed and precision by reducing computational complexity. A numerical simulation apparatus that executes a numerical simulation using a wave function which is a solution of a time dependent Schrödinger equation includes: a real time evolution calculation unit that calculates a second wave function while evolving the second wave function from an initial time in increments of a predetermined time period, the second wave function being obtained by applying a central difference approximation in a real-space finite-difference method to a first wave function expressed using a propagator, and being expressed using a Bessel function; and a calculation result storage unit that stores a calculation result of the second wave function obtained at each time by the time evolution calculation unit while evolving the second wave function in increments of the predetermined time period.

Abstract: To provide a numerical simulation apparatus capable of executing a numerical simulation with high speed and precision by reducing computational complexity. A numerical simulation apparatus (100) that executes a numerical simulation using a wave function which is a solution of a time dependent Schrödinger equation includes: a real time evolution calculation unit (106) that calculates a second wave function while evolving the second wave function from an initial time in increments of a predetermined time period, the second wave function being obtained by applying a central difference approximation in a real-space finite-difference method to a first wave function expressed using a propagator, and being expressed using a Bessel function; and a calculation result storage unit (108) that stores a calculation result of the second wave function obtained at each time by the time evolution calculation unit (106) while evolving the second wave function in increments of the predetermined time period.

Abstract: A film treating agent for a non-oriented electrical steel sheet having excellent film characteristics such as high space factor, punchability, weldability, and adhesion, and having excellent lubricating properties after stress relief annealing agent comprises, as principal components thereof, 100 parts by weight, calculated in terms of the solid, of at least one member selected from the group consisting of aluminum phosphate, calcium phosphate and zinc phosphate, as an inorganic material, and 1 to 300 parts by weight of a coarse grain emulsion resin having a grain size of 0.3 to 3.0 .mu.m, as an organic material.

Abstract: A method for forming an insulating film on a grain-oriented silicon steel sheet by applying an insulating coating solution comprising100 parts by weight (calculated as the solid component) of a mixture of colloidal substances, composed of 50 to 98 weight % (calculated as the solid component SiO.sub.2) of colloidal silica having a partical diameter not larger than 50 nano m, and 2 to 50 weight % (calculated as the solid component) of at least one colloidal substance having a particle diameter randing from 80 to 3000 nano m, selected from the group consisting of oxides, carbides, nitrides, sulfides, borides, hydroxides, silicates, carbonates, borates, sulfates, nitrates and chlorides of Fe, Ca, Ba, Zn, Al, Ni, Sn Cu, Cr, Cd, Nd, Mn, Mo, Si, Ti, W, Bi, Sr, and V,130 to 250 parts by weight of at least one selected from the group consisting of phosphates of Al, Mg, Ca, and Zn, and10 to 40 parts by weight of at least one selected from the group consisting of chromic anhydride, chromate, and dichromate.

Abstract: A grain-oriented electrical steel sheet having a low watt loss after stress relief annealing is proposed. The steel sheet, which is final texture annealed, and to which tension is imparted, has a number of recessed parts on the surface thereof forming indentations into the steel sheet body having a depth in the range of from 0.01 to 0.1 mm. The recessed parts are filled with a composition having a coefficient of thermal expansion smaller than that of the steel sheet body. From the recessed parts and the composition the magnetic domains are subdivided.

Abstract: A water repellent, for example an organic silicon compound, is added to an annealing separator which is applied electrostatically to the surface of a grain oriented magnetic steel sheet, or a glass-like film forming undercoating formed on the sheet surface.

Abstract: A cold rolled steel strip having an excellent phosphatizing property and being capable of firmly bonding with a corrosion-resistant paint coating, comprises a cold rolled steel strip substrate having at least one descaled surface thereof which is substantially free from carbonaceous and oxide substances and; at least one defective metal deposit layer incompletely covering the descaled surface and comprising at least one elementary metal selected from Mn, Ni, Co, Cu and Mo.