Doubt in Schrodinger wave eqn

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In the derivation of Schrodinger's wave equation
Î›
HÏ†=EÏ†

"For a standing wave of wavelength Î» whose amplitude at any point x maybe described by a func. f(x) ,it may be shown that

d²f(x) = 4Ï€² f(x) "
dx² Î»₂

Doubts:
> I am not able to understand how the above eqn. is written for amplitude

> first of all, why is it taken as a standing wave??

plz reply...... forgive if my doubts are silly!

#Chemistry #General Chemistry

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2 Answers

Lokesh Verma ·2009-05-28 05:48:12

Vimalesh.. without reading much.. the derivation is not in syllabus.

All you need to know is that Ï†² is the probability of finding an electron wrong:in the nth shell.

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gagar.iitk ·2009-07-04 02:38:33

standing wave because it is not losing energy in a magnetic field and circular motion is always harmonic and harmonic motion without losing energy is simple harmonic

simple harmonic waves has a property Y'' + Y =0 using this u can easily calculate the eq
d2f(x) = 4Ï€2 f(x) "
dx2 Î»2

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Doubt in Schrodinger wave eqn

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