Are All Aspects of Quantum Mechanics Real or Imaginary?

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SUMMARY

The discussion centers on the nature of quantum mechanics, specifically addressing whether various components such as wave functions, expectation values, and operators are real or imaginary. Participants assert that wave functions and expectation values are indeed real quantities, while operators lack intrinsic meaning. The equation Ψ* = Ψ, which relates to wave functions, is debated, with some claiming that wave functions can possess imaginary components. Ultimately, the consensus leans towards the reality of energy levels and expectation values, while the status of operators remains contentious.

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Homework Statement


The real world is "real" and not "imaginary", what does this imply?

1. wave functions are real quantities
2. expectation values are real quantities
3. operators are real
4. Ψ* = Ψ, where Ψ denotes a wave function
5. energy levels are real
6. wave functions cannot have an imaginary component

Homework Equations

The Attempt at a Solution


I'm pretty sure 4, 5 and 2 are correct, energy levels are essentially expectation values and I'm pretty sure that is real, 3 and 1 are wrong, operators don't have a meaning by themselves, and waves aren't quantities, and not sure about 6, I believe there are actually some values with imaginary parts that still correspond to the real world.. but I might be wrong
 
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4 is not correct. Wave functions can have imaginary values and often do.
 

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