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GAGS
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Wave function Ψ(r,t) is time dependent. But then why probability [Ψ(r,t)]2 is time independent
Probability Wave Function Ψ(r,t): Time Independence
- Context: Graduate
- Thread starter GAGS
- Start date
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- Probability
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Discussion Overview
The discussion revolves around the nature of the wave function Ψ(r,t) in quantum mechanics, specifically addressing its time dependence and the conditions under which the probability density [Ψ(r,t)]² may be considered time independent. The scope includes theoretical considerations and conceptual clarifications related to quantum states.
Discussion Character
- Debate/contested
Main Points Raised
- One participant asserts that the wave function Ψ(r,t) is time dependent, questioning why the probability density [Ψ(r,t)]² might be time independent.
- Another participant counters that the probability density is not time independent.
- Some participants propose that the probability density can be time independent when Ψ(r,t) represents an energy eigenstate, although they do not elaborate on the reasoning behind this condition.
- A later reply indicates a misunderstanding, suggesting that the original question may have been interpreted too broadly.
Areas of Agreement / Disagreement
Participants express differing views on the time dependence of the probability density, with some asserting it can be time independent under specific conditions, while others disagree. The discussion remains unresolved regarding the general applicability of these claims.
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