Operators in Quantum Physics

Tags: #physics #quantum

Equation

$$\int\psi_1^*A\psi_2d^3V=\int\psi_2(A\psi_1)^*d^3V \\ A\Psi=a\Psi \\ \Psi=\sum\limits_nc_nu_n \\ \frac{dA}{dt}=\frac{\partial A}{\partial t}+\frac{[A,H]}{i\hbar}$$

Latex Code

                                 \int\psi_1^*A\psi_2d^3V=\int\psi_2(A\psi_1)^*d^3V \\
            A\Psi=a\Psi \\
            \Psi=\sum\limits_nc_nu_n \\
            \frac{dA}{dt}=\frac{\partial A}{\partial t}+\frac{[A,H]}{i\hbar}
                            

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Introduction

Equation



Latex Code

            \int\psi_1^*A\psi_2d^3V=\int\psi_2(A\psi_1)^*d^3V \\
            A\Psi=a\Psi \\
            \Psi=\sum\limits_nc_nu_n \\
            \frac{dA}{dt}=\frac{\partial A}{\partial t}+\frac{[A,H]}{i\hbar}
        

Explanation

Latex code for Operators in Quantum Physics. I will briefly introduce the notations in this formulation.

  • : Eigenvalue Equation
  • : Eigenfunction
  • : The time-dependence of an operator is given by (Heisenberg)

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