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what is a necessary condition to observe stationary probabilities? And how to quantify this necessity condition?

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Final answer:

In quantum mechanics, a necessary condition to observe stationary probabilities is that the wave function satisfies certain criteria, including avoiding sudden jumps or gaps, having a smooth function, and being normalizable.

Step-by-step explanation:

The necessary condition to observe stationary probabilities in the context of quantum mechanics is that the wave function must satisfy certain criteria. These criteria include:

  1. Avoiding sudden jumps or gaps in the wave function.
  2. Holding a smooth wave function at all points, except in special cases.
  3. Being normalizable, meaning that the wave function is square-integrable.

These conditions ensure that the wave function represents a valid probability distribution. By satisfying these conditions, we can calculate probabilities using the wave function.

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