The main result reached by the new theory was that the classical mechanics can be made to account for the whole range of spectral phenomena, provided entirely new meanings are given to such symbols as p and q which had hitherto been taken to describe the position and motion of the electron. ...The most significant of the new properties is that the product pq is no longer the same as the product qp - in other words the order in which the two factors are multiplied together is no longer a matter of indifference. The difference between pq and qp is found to be always the same, being Plank's constant h multiplied by a numerical multiplier.
About this quote
- What does it mean?
- New quantum theory redefined classical symbols like p and q, showing their multiplication order matters.
- In plain terms
- In quantum theory, the order of multiplying position and motion symbols changes the result.
- What can you take from it?
- Mathematical operations in quantum mechanics do not follow standard commutative rules.
Where it applies
Putting it to work
Questions to consider
- How does order affect mathematical meaning?
- What happens when symbols change definition?
Another view
It abstracts physical concepts into symbols that lose intuitive meaning.
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