- #1
Robert Shaw
- 64
- 6
Consider the following examples:
1) combine a spin 1/2 state (with 2D Hilbert space and three spin 0 states (each with 1D Hilbert space). The resultant state is in 3D Hilbert space.
2) combine the same spin 1/2 state (with 2D Hilbert space and one spin 0 state.
The states in (1) and (2) are identical except for phase factor.
There appears to be no way of determining the number of "objects".
3) combine three spin 1/2 states (2D Hilbert).==>.8D Hilbert state
4) combine one spin 1/2 state (2D Hilbert) and one spin 1.5 (4D Hilbert)===>8D Hilbert vector.
There seems to be nothing to tell how many "objects" are being combined.
Does the concept of an "object" not belong in Quantum Mechanics?
1) combine a spin 1/2 state (with 2D Hilbert space and three spin 0 states (each with 1D Hilbert space). The resultant state is in 3D Hilbert space.
2) combine the same spin 1/2 state (with 2D Hilbert space and one spin 0 state.
The states in (1) and (2) are identical except for phase factor.
There appears to be no way of determining the number of "objects".
3) combine three spin 1/2 states (2D Hilbert).==>.8D Hilbert state
4) combine one spin 1/2 state (2D Hilbert) and one spin 1.5 (4D Hilbert)===>8D Hilbert vector.
There seems to be nothing to tell how many "objects" are being combined.
Does the concept of an "object" not belong in Quantum Mechanics?