91影视

Tunnelingis a phenomenon when particles penetrate through a potential barrier which is higher than their kinetic energy.

According to the uncertainty principle, it鈥檚 impossible to calculate the momentum of a particle together with its position simultaneously with absolute accuracy.

$\mathrm{螖虫}.\mathrm{螖辫}鈮�\mathrm{鈩�}/2$

Where, $\mathrm{螖虫}$= Change in position of the particle

$\mathrm{螖辫}$ = Change in momentum of the particle

$\mathrm{鈩�}$ = modified form of plank鈥檚 constant

From the above equation, you get that, uncertainty in $x$ and $P$are inversely proportional.

If the particle lies in the barrier, the uncertainty in $x$needs to be greater than the wave number- $未$ such that $鈭�p$can be no less than $\mathrm{鈩�}/未$.

Kinetic energy is given by ( $p^2/2m$), it needs to be greater than or equal to$\frac{{\mathrm{鈩�}}^2}{2{\mathrm{尘未}}^2}=\frac{{\mathrm{鈩�}}^2}{2\mathrm{m}}\frac{2\mathrm{m}({\mathrm{U}}_0鈭�\mathrm{E})}{{\mathrm{鈩�}}^2}={\mathrm{U}}_0鈭�\mathrm{E}$ .

Thus, the order of magnitude of uncertainty in the Kinetic Energy obtained by the experiment, makes up for difference between the potential energy barrier - $U_0$and the total energy - $E$.