The discussion revolves around the nature of variables in the wave function, particularly in the context of the WKB approximation. Participants explore which aspects of the wave function can be considered constant or variable and seek clarification on the implications of these variables in quantum mechanics.
Participants express differing views on the existence and nature of variables in the wave function. There is no consensus on whether κ and ω are considered variables that change over time or if they are fixed attributes of the wave function.
The discussion highlights potential ambiguities in terminology, particularly regarding what constitutes a "variable" in the context of wave functions and the WKB approximation. The dependence on specific definitions and interpretations of quantum mechanics is noted.
DrClaude said:There are no "variables" in the wave function. You have a complex amplitude that is position dependent, and that's it.
The WKB approximation is a semi-classical method, which attributes a classical wave number which varies with position, depending on the potential. But it is not an intrinsic value of the actual quantum wave function.