Some mathematic details of questions in teaching of quantum mechanics
Wave mechanics is one of branch of quantum mechanics using the mathematic formalism of operator,eigenvalue equation and operator algebra.Based on the analysis of the troubleshooting process of three mathematically related scenarios in quantum mechanical teaching,(1)commutation relation derivation of between operator (x ˆ)and (pˆ)x,(2)introduction of Eigen-function of position operator,(3)derivation of equation of motion of operator,the necessity of a mastery of clarity of mathematic definition,rigorousness in derivation and the knowledge of variety of mathematical forms and their mutual transformation among them,is shown to be vital for the real understanding of quantum mechanics.
operatorposition operatorequation of motionquantum mechanics
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