- #1
Adel Makram
- 635
- 15
The well-known eigen value expression A(a)=a(a) assuming the operator which represents a physical phenomena acts on a quantum state which is represented by an eigen vector, (a) corresponds to an observed value a.
But I am wondering if the same operator A can act on (a) and produce another eigen vector in another space (b) with an observed value b.
This is stemmed from singular value decomposition where a matrix A works on orthogonal vector V yielding σU where σ is the eigen value and U is another orthonormal space. So I am wondering if an application of this method is present in quantum theory.
But I am wondering if the same operator A can act on (a) and produce another eigen vector in another space (b) with an observed value b.
This is stemmed from singular value decomposition where a matrix A works on orthogonal vector V yielding σU where σ is the eigen value and U is another orthonormal space. So I am wondering if an application of this method is present in quantum theory.