量子力学への導入(もう一つの道)

概要

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From the educational view point of physics it is an undoubted, traditional problem that the Shroedinger equation is not normally introduced from the classical physics with the conceptual continuation, which is inversely given through the classical limit, as is well known. Here is presented an alternative introduction directly from the classical physics concepts on indicating strongly the replacement of the point mechanical description to the field description, which can be intuitively understood as those of an illuminated notice board of the social news. The field description is given by a state function Ψ (x), which is imaged as an extension (Hilbert function space) of the 3-dimensional vector. Stationary graphs of the illuminated board correspond to give the stationary state of the quantum state. Its typical example of free particles is plane waves. which play an important role as fundamental quantum description corresponding to the guiding example of the plane wave description of the light. The vector k and the scalar ω of the light just correspond to the vector p and the scalar E of the relativistic particle through the relations of ω=ck and E=pc. Non-relativistic relation of E=p・p/(2m) is just the Schroedinger equation described in the function vector space, which is easily transformed to the Schroedinger equation usually described in the cartesian coordinates.
岡山理科大学の論文