- #1
Derek P
- 297
- 43
Arguments can often be presented using a discrete model on the assumption that continuous variables can be accommodated by taking the limit as the resolution is increased.
I would have thought that this would be just fine in QM where functions are continuous. But maybe mathematicians here can say where it breaks down. For instance there might be a problem with irrational numbers. We could specify an operator which works differently with different classes of numbers but could it have any physical meaning?
Any hints, other than "take a degree in mathematics and come back when you can formulate your question in better language" would be appreciated.
I would have thought that this would be just fine in QM where functions are continuous. But maybe mathematicians here can say where it breaks down. For instance there might be a problem with irrational numbers. We could specify an operator which works differently with different classes of numbers but could it have any physical meaning?
Any hints, other than "take a degree in mathematics and come back when you can formulate your question in better language" would be appreciated.