Monday 11 June 2018

wavefunction - What does $Psi^*$ mean in Schrodinger's formulation of Quantum Mechanics?


I am not a physics student. In one of my courses, some fundamental concepts of Quantum mechanics were needed, so I was going through them when I stumbled upon this.


It says


$$\text{probability} = \int_a^b\Psi^*\Psi\mathrm{d}x\quad\biggl(= \int_a^b\Psi^2\mathrm{d}x\text{ if }\Psi\text{ is a real function}\biggr)$$


Is the $\Psi^*$ in this expression the wave function's conjugate, or something else?



Answer



You are correct. $\Psi^{*}$ denotes the complex conjugate.



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