US 2011/0086333 A1 · EDUCATIONAL TOOL FOR LEARNING QUANTUM SCIENCE

Abstract

A rotational operator is applied once or twice to a product of a wave function of quantum mechanics for a dynamic system and a unit vector in a θ-direction in a polar coordinate system (r, θ, φ) to obtain a first or second vector function, respectively. A starting coordinate is substituted into the first or second vector function to obtain a starting value of the vector function, and a next coordinate a small distance away from the starting coordinate in a direction of the starting value of the vector function is calculated. This process is iterated and segments linking the coordinates one after another are drawn on a medium, such as a sheet, as a magnetic or electric line of force. The process is iterated with replacing the initial starting coordinate with another initial one to obtain another magnetic or electric line of force.

Claims14

Dependent claims

A method of producing an educational tool for showing on a medium a magnetic field in a quantum dynamic system, comprising:

(a) obtaining a wave function of quantum mechanics for the dynamic system;
(b) multiplying the wave function by a unit vector pointing a θ-direction in polar coordinate system (r, θ, φ) to obtain a vector potential;
(c) applying a rotational operator to the vector potential once to obtain a vector function;
(d) defining a starting coordinate;
(e) substituting the starting coordinate into the vector function to obtain a starting value of the vector function;
(f) calculating a next coordinate a certain distance away from the starting coordinate in a direction of the starting value of the vector function;
(g) drawing a segment linking the starting and the next coordinates as part of a magnetic line of force on the medium;
(h) referring to the next coordinate as the starting coordinate, and performing (e) to (g) once again;
(i) iterating (h) to obtain a continuous magnetic line of force on the medium;
and
(j) performing (d) to (i) at least once again, redefining the starting coordinate differently at each (d) to obtain magnetic lines of force on the medium.

8 more elements

A method of producing an educational tool for showing on a medium magnetic and electric fields in a quantum dynamic system, comprising:

(a) obtaining a wave function of quantum mechanics for the dynamic system;
(b) multiplying the wave function by a unit vector pointing a θ-direction in polar coordinate system (r, θ, φ) to obtain a vector potential;
(c) applying a rotational operator to the vector potential once to obtain a first vector function;
(c1) applying a rotational operator to the first vector function once to obtain a second vector function;
(d) defining a starting coordinate;
(e) substituting the starting coordinate into the first vector function to obtain a starting value of the first vector function;
(f) calculating a next coordinate a certain distance away from the starting coordinate in a direction of the starting value of the first vector function;
(g) drawing a segment linking the starting and the next coordinates as part of a magnetic line of force on the medium;
(h) referring to the next coordinate as the starting coordinate, and performing (e) to (g) once again;
(i) iterating (h) to obtain a continuous magnetic line of force on the medium;
(j) performing (d) to (i) at least once again, redefining the starting coordinate differently at each (d) to obtain magnetic lines of force on the medium;
(d1) defining another starting coordinate;
(e1) substituting the another starting coordinate into the second vector function to obtain a starting value of the second vector function;
(f1) calculating a next coordinate a certain distance away from the another starting coordinate in a direction of the starting value of the second vector function;
(g1) drawing a segment linking the another starting coordinate and the next coordinate obtained at (f1) as part of an electric line of force on the medium;
(h1) referring to the next coordinate as the another starting coordinate, and performing (e1) to (g1) once again;
(i1) iterating (h1) to obtain a continuous electric line of force on the medium;
and
(j1) performing (d1) to (i1) at least once again, redefining the another starting coordinate differently at each (d1) to obtain electric lines of force on the medium.

16 more elements

Dependencies are inferred from the claim text.

Educational tool for learning quantum science

Life of this patent

Educational tool for learning quantum science

Life of this patent

Abstract

Claims14