Question

obtain time independent wave equation from time dependent Schrodinger equation​

Answer 1

REQUIRED ANSWER :-

1. ONE DIMENSIONAL TIME DEPENDENT SCHRODINGER EQUATION.

(−ħ)/2m×(Ə2Ψ(x,t))/(Əx2)+VΨ(x,t)=jħ(ƏΨ(x,t))/Ət

The first and second term on the left hand side represents the kinetic and potential energies respectively of the particles and the right hand side represents the total potential.

1. ONE DIMENSIONAL TIME INDEPENDENT SCHRODINGER EQUATION.

−ħ2/2m×(d2Ψ(x))/(dx2)+V(x)Ψ(x)=EΨ(x)

3. THREE DIMENSIONAL TIME INDEPENDENT SCHRODINGER EQUATION

H=−ħ2/2m∇2+V

Schrodinger equation is the fundamental equation of quantum mechanics. This is extremely useful for investing various quantum mechanical problems. The wave function, the probability density, the energy values of a quantum mechanical particle, etc. in various situation can be calculated with the help of this equation.

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Answer 2

Explanation:

Schrödinger Equation is a mathematical expression which describes the change of a physical quantity over time in which the quantum effects like wave-particle duality are significant. The Schrödinger Equation has two forms the time-dependent Schrödinger Equation and the time-independent Schrödinger Equation. The time-dependent Schrödinger Wave Equation derivation is provided here so that students can learn the concept more effectively.

Questions related to the derivation of the Schrödinger Wave Equation is one of the most commonly asked questions in board exams and various competitive exams. The derivation of the Schrödinger Wave Equation is given below in such a way that students understand the concept in an interesting and easy manner.