mirror of
https://asciireactor.com/otho/phy-4600.git
synced 2024-12-04 18:45:06 +00:00
23 lines
632 B
Plaintext
23 lines
632 B
Plaintext
|
the meaning of an operator - how it relates to an action that is a measurement and also an action on the state
|
||
|
|
|
||
|
|
the meaning of an eigenstate and an eigenvalue for an operator
|
||
|
|
|
||
|
|
the concept of a complete set of orthogonal operators that commute
|
||
|
|
- this says something about having common states
|
||
|
|
|
||
|
|
superposition states
|
||
|
|
|
||
|
|
unitary operators:
|
||
|
|
|
||
|
|
❙Ψ❭ = ∑ ❙n❭❬n❙Ψ❭ = ∑Cₙ❙n❭
|
||
|
|
|
||
|
|
❬n❙Ψ❭ = ∫ dx ❬n❙x❭❬x❙Ψ❭
|
||
|
|
|
||
|
|
= ∫ dx n†(x) Ψ(x)
|
||
|
|
|
||
|
|
time evolution
|
||
|
|
|
||
|
|
schrodinger equation - specific cases: infinite or finite well, harmonic oscillator, hydrogen atom
|
||
|
|
|
||
|
|
angular momentum operators
|