mirror of
https://asciireactor.com/otho/phy-4600.git
synced 2025-11-04 01:38:06 +00:00
16 lines
511 B
Plaintext
16 lines
511 B
Plaintext
|
States can be represented as vectors
|
|||
|
|
|
|||
|
|
|Ψ> = ½|+> + (i√3)/2|-> = ½ ( 1 ) + (i√3)/2 ( 0 ) = ( 1/2 )
|
|||
|
|
( 0 ) ( 1 ) ( (i√3)/2 )
|
|||
|
|
|
|||
|
|
Operators are matrices
|
|||
|
|
|
|||
|
|
Showed how Â|Ψ>=|φ> translates to a matrix in the z basis (pic x2)
|
|||
|
|
|
|||
|
|
Example with S𝓏 operator (pic)
|
|||
|
|
Example with S𝓍 operator (pic)
|
|||
|
|
|
|||
|
|
Often we know operator but not basis. How to find basis? (pic)
|
|||
|
|
i.e. find the eigen-basis S|α>=λ|α>
|
|||
|
|
Only non-trivial if determinant is zero. Solve for basis. (pic)
|