Contents I.Introduction:Matter Wave and Its Motion 3 A.de Broglie's hypothesis 3 B.Stationary Schrodinger equation C.Conclusion 6 II.Statistical Interpretation of Wave Mechanics A.Pose of the problem B.Wave packet-a possible way out? 9 C.Born's statistical interpretation 11 D.Probability 11 1.Example of discrete variables 11 2.Example of continuous variables 14 E.Normalization III.Momentum and Uncertainty Relation 18 A.Expectation value of dynamical quantities B.Examples of uncertainty relation 20 IV.Principle of Superposition of states 22 A.Superposition of 2-states 22 B.Superposition of more than 2 states 23 C.Measurement of state and probability amplitude 23 1.Measurement of state 23 2.Measurement of coordinate 24 3.Measurement of momentum 24 D.Expectation value of dynamical quantity 名 V.Schrodinger Equation 27 A.The quest for a basic equation of quantum mechanics 27 B.Probability current and probability conservation 29 C.Stationary Schrodinger equation 31 2 Contents I. Introduction: Matter Wave and Its Motion 3 A. de Broglie’s hypothesis 3 B. Stationary Schr¨odinger equation 4 C. Conclusion 6 II. Statistical Interpretation of Wave Mechanics 7 A. Pose of the problem 8 B. Wave packet - a possible way out? 9 C. Born’s statistical interpretation 11 D. Probability 11 1. Example of discrete variables 11 2. Example of continuous variables 14 E. Normalization 16 III. Momentum and Uncertainty Relation 18 A. Expectation value of dynamical quantities 18 B. Examples of uncertainty relation 20 IV. Principle of Superposition of states 22 A. Superposition of 2-states 22 B. Superposition of more than 2 states 23 C. Measurement of state and probability amplitude 23 1. Measurement of state 23 2. Measurement of coordinate 24 3. Measurement of momentum 24 D. Expectation value of dynamical quantity 26 V. Schr¨odinger Equation 27 A. The quest for a basic equation of quantum mechanics 27 B. Probability current and probability conservation 29 C. Stationary Schr¨odinger equation 31 2