Problem #0053 Quantum Physics Problem #0055 Chapters Chapters

755.

Problem 51.35 (RHK)

Of the three scalar components of , one , is quantized. We have to show that the most that can be said about the other two components of is

We note that these two components are not separately quantized. We have to show that

.

Solution:             Click For PDF Version

In quantum mechanics it is shown that and one of the components, say, can be simultaneously measured and that their values are given by

and for a given value of the allowed values of are

Combining these two results, we note that what can be said about is that as

,

its values can be

As the maximum value of ,

we note that

As the least value of , we note that

.

We thus find that

.