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quanjia
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I think it needn't be continuous even if the probability should.
Wave function can be complex while probability is its absolute value.
Wave function can be complex while probability is its absolute value.
quanjia said:I think it needn't be continuous even if the probability should.
Wave function can be complex while probability is its absolute value.
quanjia said:Thank you,reilly and StatMechGuy.
You reply help me greatly.
But when we deal with delta potential,why we consider the wave function continuous at x=0 where the potential is infinite and the differential of the wave function is discontinuous?
Is it just for simplity in analyse and calculate.
A wave function is a mathematical representation used in quantum mechanics to describe the behavior of particles. It is important because it allows us to predict the probability of finding a particle in a certain state or location.
A continuous wave function means that there are no sudden jumps or discontinuities in the behavior of the particle. This is important because it ensures that the predictions made by the wave function are physically meaningful and accurate.
The uncertainty principle states that it is impossible to simultaneously know the exact position and momentum of a particle. A continuous wave function helps to satisfy this principle by showing that there are no abrupt changes in the particle's position or momentum.
In principle, yes, a wave function can be discontinuous. However, this would result in physically meaningless predictions and is therefore not preferred. In most cases, a continuous wave function is more accurate and useful.
If a wave function is not continuous, it means that there are abrupt changes in the particle's behavior, which would result in inaccurate predictions. This could lead to contradictions and inconsistencies in the laws of quantum mechanics.