From its wave function, kinetic energy of a particle in a box can be expressed by the following equation:

Where Ψ* is an anti-wave function, Ψ is a wave function, and H is the Eigen Operator. The border of the integration can be expressed like the expression above by following illustration:

Now the question is: Determine the kinetic energy of that particle.

First, you have to know that the anti-wave function has the same value with the wave equation:

Now, let's calculate it!

Let's continue our calculation!

The Eigen Operator

*can be expanded as follows:***(1 Dimention)**
In the box, the potential energy of particle is assumed by Zero (0)

You already got the expression and its definitions, now let's try to solve a problem.

If a particle has a wave function that can be expressed by the following equation:

You already got the expression and its definitions, now let's try to solve a problem.

If a particle has a wave function that can be expressed by the following equation:

Now the question is: Determine the kinetic energy of that particle.

First, you have to know that the anti-wave function has the same value with the wave equation:

Now, let's calculate it!

Confuse? Just read it slowly.

Now for the integration, you also have to know how to integrate those equations by following expression:

**Thank You**

## No comments:

## Post a Comment