Monday, January 12, 2015

wavefunction - Schrödinger's Equation and its complex conjugate



I would like to know why there is a minus sign on the right-hand side of the Schrödinger's complex conjugate equation, whereas in the Schrödinger's equation there isn't. I know it is a simple question, but I don't know where this comes from. 22m2ψx2+V(x)ψ=iψt


22m2ψx2+V(x)ψ=iψt




Answer



It is the definition of complex number. Let's say


z=x+iyz=xiy


z=xiyz=x+iy


In simple words, you just have to change the sign of the Imaginary part. The thing is that ψ(x) it's a imaginary number, so it's conjugate it's just ψ(x). If you have the ψ(x) function, then you can change ii or in the oposite way.


No comments:

Post a Comment

classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...