I'm learning infinite-dimensional systems in mathematical viewpoint and trying to understand it from physical perspective.

I would like to understand if infinite-dimensional systems does make sense in physics, especially when it becomes necessary in quantum control theory? Are there any simple and intuitive examples?

I'm learning infinite-dimensional systems in mathematical viewpoint and trying to understand it from physical perspective.

I would like to understand if infinite-dimensional systems make sense in physics, especially when it becomes necessary in quantum control theory. Are there any simple and intuitive examples?

I'm learning infinite-dimensional systems in mathematical viewpoint and trying to understand it from physical perspective.

I would like to understand if infinite-dimensional systems does make sense in physics, especially when it becomes necessary in quantum control theory? Are there any simple and intuitive examples  ?

I'm learning infinite-dimensional systems in mathematical viewpoint and trying to understand it from physical perspective.

I would like to understand if infinite-dimensional systems does make sense in physics, especially when it becomes necessary in quantum control theory? Are there any simple and intuitive examples?