Why are complex numbers used in the Schrodinger equation?
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Why are complex numbers used in the Schrodinger equation? by 
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01
Ciro Santilli 34 Updated 2024-12-15 +Created 1970-01-01Why is there a complex number in the equation? Intuitively and mathematically:
Necessity of complex numbers in the Schrödinger equation by Barton Zwiebach (2017)
Source. This useless video doesn't really explain anything, he just says "it's needed because the equation has an in it".
The real explanation is: they are not needed, they just allow us to write the equation in a shorter form, which is always a win: physics.stackexchange.com/questions/32422/qm-without-complex-numbers/557600#557600