Chapter 7, Problem 7.5DQ

Interpretation Introduction

Interpretation:

The implications for uncertainty principle have to be identified.

Concept Introduction:

Heisenberg uncertainty principle:

It is not possible to identify both the particle’s momentum and position at same time with certainty. The mathematical equation for this is as follows,

$\text{Δx}\text{Δp}\ge \frac{\text{h}}{\text{4π}}$

$\text{Δx}\text{Δp}\ge \frac{1}{2}\hslash \boxed{\begin{array}{c}here,\text{Δx}=\text{minimum certain in position}\\ \text{Δp}=\text{minimum certain in}\text{momentum}\\ \text{h}\text{=}\text{Planck's constant,}\hslash =\raisebox{1ex}{$\text{h}$}\!\left/ \!\raisebox{-1ex}{$\text{2π}$}\right.\end{array}}$