In the derivation of Schrodinger's wave equation
Λ
Hφ=Eφ
"For a standing wave of wavelength λ 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 λ2
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!
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2 Answers
62Vimalesh.. without reading much.. the derivation is not in syllabus.
All you need to know is that φ2 is the probability of finding an electron wrong:in the nth shell.
1standing 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 λ2
