Wave function is continuous???

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Wave function is continuous??? Empty Wave function is continuous???

Post by Lonestar on Wed Sep 07, 2016 12:52 am

Let me be blunt here guys, my question is Why should the wave function have to be continuous??

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Wave function is continuous??? Empty Re: Wave function is continuous???

Post by physicistsid on Thu Sep 08, 2016 8:57 pm

If the potential is continuous in a region then the wavefunction has to be continous in that region otherwise second derivative of wavefunction is not defined hence schrodinger is not solvable.

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Wave function is continuous??? Empty Re: Wave function is continuous???

Post by Lonestar on Thu Sep 08, 2016 9:22 pm

can u please tell me why the 2nd derivative of the wave function is not defined

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Wave function is continuous??? Empty Re: Wave function is continuous???

Post by Lonestar on Thu Sep 08, 2016 9:45 pm

i know i'm moving away from the discussion but a quick question if the limit of a function exists at a point then is the fuction differentiable at that point

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Wave function is continuous??? Empty Re: Wave function is continuous???

Post by physicistsid on Thu Sep 08, 2016 9:50 pm

No , continuity is a necessary condition for differentiability.Check this https://en.wikipedia.org/wiki/Differentiable_function

Differentiability and continuity

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Wave function is continuous??? Empty Re: Wave function is continuous???

Post by Holmes on Sun Sep 11, 2016 5:27 pm

okay then lets think in a non mathematical manner. Say the wave function is not continuous at a point, then how do you think you can explain the non continuous distribution of the probability. And then anyways the potential energy in the box is uniform.

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