韋格納變換可將薛丁格方程的解變換到動力傳輸方程的解，而逆韋格納變換則可將動力傳輸方程的解變換到薛丁格方程的解。而動力傳輸方程和薛丁格方程的解皆有色散估計。從色散估計可推導出史特萊卡斯估計。這篇研究主要結果是證明韋格納變換可以從傳輸方程的色散估計推到薛丁格方程的色散估計，而如果初始值皆大於零，則反方向也可以，但反方向在一般情況下卻不一定。

The Wigner transform can transform the solution of the Schrödinger equation into the solution of the kinetic transport equation, and the inverse Wigner transform can transform the solution of the kinetic transport equation into the solution of the Schrödinger equation. Both the solutions of the kinetic transport equation and the Schrödinger equation have dispersive estimates. The Strichartz estimates can be derived from the dispersive estimates. The main result of this study is to show that we can use the Wigner transform to derive the dispersive estimate of the Sch\"odinger equation from the dispersive estimate of the the kinetic transport equation, and if the initial values are all greater than zero, the reverse direction is also possible, but in general, the reverse direction is not always possible.

摘要
Abstract
Introduction---------------------------------------------------1
Wigner transform-----------------------------------------------3
Strichartz estimates for the Schrodinger equation--------------5
Strichartz estimates for the kinetic transport equation--------9
Using the Wigner transform to discuss the relationship between Strichartz estimates for the kinetic transport equation and Strichartz estimate for the Schrodinger equation--------------------------11

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