Does Cutting an Object Affect Its Hilbert Space or Quantum State?

[oquen]

When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?

 

[PeroK]

When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?

You may get a better answer, but I'm not sure it's helpful to think of a sausage as a quantum object!

 

[Nugatory]

When you cut an object with a knife.. say a sausage. Does it's Hilbert Space or Quantum State split into two too? Or is it like in a holographic film.. in which even after cutting it, all the original image is in each of the cut portion?

A Hilbert space is a mathematical abstraction, not any sort of physical space that can be cut and divided. Objects don't "have" or occupy Hilbert spaces, and there is no correspondence between the parts of an object and the elements of the Hilbert space we're using in our computations.

Unfortunately, all of this about how a Hilbert space isn't what you're thinking it is doesn't help much with explaining what a Hilbert really is. For that, you need a college-level intro QM text.