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by
Ciro Santilli
(@cirosantilli,
25
)
Why are complex numbers used in the Schrodinger equation?
Ciro
's 10 cents:
physics.stackexchange.com/questions/32422/qm-without-complex-numbers/557600#557600
Why is there a
complex number
in the equation? Intuitively and mathematically:
physics.stackexchange.com/questions/8062/about-the-complex-nature-of-the-wave-function
physics.stackexchange.com/questions/32422/qm-without-complex-numbers/557600#557600
physics.stackexchange.com/questions/292947/is-it-possible-to-formulate-the-schr%C3%B6dinger-equation-in-a-manner-that-excludes-i
Some ideas:
explicit scalar form of the Maxwell's equations
Video 1
. 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
$i$
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
Ancestors
Derivation of the Schrodinger equation
Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
Particle physics
Physics
Natural science
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Derivation of the Schrodinger equation
Dirac equation
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