Find the value of <x> of a particle in the region x=0 to 6 nm in the ground state of one dimensional rigid box of length 12nm.

**THEORY:**

In quantum mechanics the **expectation value** is the probabilistic expected value of the result (measurement) of an experiment. It can be thought of as an average of all the possible outcomes of a measurement.

**CODING:**

clc

Pr1 =integrate('(1/8)*((4*x^2)-(4*x^3)+(x^4))*%e^(-x)','x',0,1);

Pr2 =integrate('(1/24)*(x^4)*(%e^-x)','x',0,1);

ratio=Pr1/Pr2;

disp(Pr1);

disp(Pr2);

disp(ratio);

**OUTPUT:**

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