The constants for wave functions in quantum mechanics can indeed be both positive and negative, as they are subject to an overall phase factor represented by ##e^{i \phi}##, which does not affect the physical state. This means that multiplying the constant by ##-1## does not alter the observable physics, and the convention of using a positive real constant is primarily a matter of preference. Additionally, the requirement for wave functions, specifically Ψ(x,y,z), to be square arises from foundational principles in quantum mechanics, including non-contextuality and Gleason's Theorem.
PREREQUISITESStudents of physics, particularly those beginning their studies in quantum mechanics, as well as educators and researchers interested in the foundational aspects of wave functions and their interpretations.
Rodos said:Just started studying physics hence I obviously have a silly question for you.