There are various types of interpretation of quantum mechanics. The idea which seems to affect your thought or at least the question asked, is related to what is called stochastic quantization, which is a part of semi-classical approach. In actual practice, if you wish to interpret the results and thoughts of quantum mechanics you will have to understand that whatever interpretation you take, it should be consistent and should not have many "even-driven" constraints. At least this is what we call the natural way of thinking. Therefore instead of saying this is wrong and that is correct, I would suggest you to think in terms of speakable and non-speakable. That is, we write down certain assumptions and decide that the statements which violates these assumptions are not allowed to be made, in other words, these are unspeakable. This is no way of leaving query unanswered. In fact if there is a problem, first formulate it and ask speakable questions and it may turn out to be a solvable problem. This approach has helped the theoretical and experimental physicist in understanding most of the problems of quantum-scale physics. I will not provide a full fledged lecture on this issue, because this is not a forum of discussing physics, rather I will note down following two assumptions, a small discussion, with a note: and the note is: whatever appears in mathematics may not be directly interpretable. Only "observables" have the interpretations. Assumption (1) is related to the observation: In order to observe something you need to define a mathematical state, traditionally known as vacuum, which is a "linear combination of all possible states". All possible states defines what is called the vector space. The size of vector space can be countable-finite, uncountable-finite or simply infinite. But they cannot be continuous. For example the set of angular quantum number of an atom is finite and it is quantum-mechanical property, while the possible state of a Hydrogen atom is discrete but infinte. Assumption (2) deals with the the mechanism of observation: it defines a mathematical procedure which when applied on the mathematical state of the system, something happens to the internal arrangement of the state. The state may or may not change. The mathematical procedure is known as operators. We cannot derive an interpretation for the operators. Interpretation, as we have noted earlier, is related to observables only. Now we can define what is an observable: Mathematicaly speaking, an operator having real non-zero eige
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Rajesh Karan
@Rajesh Karan