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!
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
