On the Stochastic Quantization Method: Characteristics and Applications to Singular Systems

Introducing the generalized Langevin equation, we extend the stochastic quantization method so as to deal with singular dynamical systems beyond the ordinary territory of quantum mechanics. We also show how the uncertainty relation is built up to the quantum mechanical limit with respect to fictitious time, irrespective of its initial value, within the framework of the usual stochastic quantization method

学習者カルテに基づくコア・カリキュラムへの学習支援とその効果について

The curriculum for the students on the science and engineering course is usually organized intothe lectures and exercises. In the lectures the students only get the fundamental knowledge oftheir own course and come to grips with the heuristic problems on the exercises to deepen theirknowledge. Repeating these processes, the students systematically study the core-curriculumwhich is the bare bones of their future specialty. We started learning support by using the blendede-Learning system for the basic scholastic ability to study the core-curriculum in April 2008. Thereis the original characteristic of this system in the following points: 1) The learning situation and theachievement degree of the learner are recorded in so-called patient’s record (we call this record“Student Karte”). 2) Using “Student Karte”, the learner by oneself judge whether he (or she)reaches the necessar y standard. 3) Referring to “Student Karte”, teachers offer the learningmaterials in accordance with the level of the learner. 4) Through “Student Karte”, the learner caneasily understand the connection between topics of physics because teachers develops, modifiesand selects suitable physics material to make the learner understand the relation of physics topics.In this paper, we introduce the summary of this learning support system based on “Student Karte”and also the results which we got to analyze the learning situation and the achievement degree ofthe students on this blended e-Learning system