According to the Schrodinger a particle is equivalent to: (a) a wave (b) a particle only (c) both of them (d) none of them

(a) a wave

According to Schrodinger, a particle is equivalent to a wave.

Schrodinger Wave Equation

Schrodinger wave equation is a mathematical expression describing the energy and position of the electron in space and time, taking into account the matter wave nature of the electron inside an atom.

It is based on three considerations. They are as follows

  • Classical plane wave equation,
  • Broglie’s Hypothesis of matter-wave, and
  • Conservation of Energy.

Schrodinger equation:

Following is the equation of Schrodinger equation:

  • Time dependent Schrodinger equation:  
    \(\begin{array}{l}ih\frac{\partial }{\partial t}\Psi (r,t)=[\frac{h^{2}}{2m}\bigtriangledown ^{2}+V(r,t)]\Psi (r,t)\end{array} \)
  • Time independent Schrodinger equation:  
    \(\begin{array}{l}[\frac{-h^{2}}{2m}\bigtriangledown ^{2}+V(r)]\Psi (r)=E\Psi (r)\end{array} \)

Where,

m: mass of the particle

⛛: laplacian

i: imaginary unit

h=h/2𝝿 : reduced Planck constant

This equation plays a major role in quantum mechanics.

Check out the video given below to know more about quantum mechanical model

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