Time Independent Schrodinger Wave Equation

As discussed in the article of time dependent Schrodinger wave equation:

V=A exp[-i/Ћ(Et-px]

= A exp(-i/Ћ Et) exp(i/Ћ)

Ψ=ψ exp(-iEt/Ћ)                                                             (1)

Where Ћ = h/2π

So, ψ is a product of a time dependent function exp(-i/Ћ Et) and a position dependent function Continue reading “Time Independent Schrodinger Wave Equation”

TIME DEPENDENT SCHRODINGER WAVE EQUATION

In quantum mechanics, the wave function ψ corresponds to the variable y of wave motion. We know that the wave function for a particle is given by

Ψ(x,t)=A exp[-i(ωt-kx)]

Put ω=2πv and K=2π/h

Ψ(x,t)=A exp[ -i(2πvt-2π/h x)]                                      (1)

If E= total energy of the particle

P= momentum of the particle then

E=hv=2πЋ/p

Where Ћ = h/2π

Putting in equation (1), we get

Ψ(x,t)= A exp[-i(E/Ћ t –p/ Ћ x)]

Ψ(x,t) = A exp[-i/ Ћ(Et-px)]                     (2) Continue reading “TIME DEPENDENT SCHRODINGER WAVE EQUATION”

Origin of Quantum Physics

Broadly, there are two types of mechanics called classical mechanics and quantum mechanics. Classical mechanics or physics explained successfully motion of the objects which can either be observed directly or can be made observable by instruments like microscope. But, the classical mechanics can not explain the mechanics of subatomic particles like electron.proton,neutron etc. Then there comes in picture the quantum mechanics, which explain the mechanics of these subatomic particles successfully.

Following examples will show that classical mechanics was inadequate to give explanation of observed facts:

(a) Photoelectric effect: Continue reading “Origin of Quantum Physics”