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. scilab programming

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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