Why is there a complex number in the equation? Intuitively and mathematically:
- https://physics.stackexchange.com/questions/8062/about-the-complex-nature-of-the-wave-function
- https://physics.stackexchange.com/questions/32422/qm-without-complex-numbers
- https://physics.stackexchange.com/questions/292947/is-it-possible-to-formulate-the-schr%C3%B6dinger-equation-in-a-manner-that-excludes-i
Some ideas: