Teorema 10.4.1
Posmatrajmo ocekivanu vrednost hamiltonijana
![](https://static.elitesecurity.org/tex/a8a3bb8e6ff79fb0402470cdbafe1e1b.png)
kao funkcional na skupu svih nenultih vektora |\psi>\in H prostora stanja datog kvantnog sistema. U odnosu na sve varijacije
![](https://static.elitesecurity.org/tex/f7c3e230058126236d1c0abd1c5f7267.png)
![](https://static.elitesecurity.org/tex/ff484b265c7cf8f9b34dd95fa80dd2e0.png)
![](https://static.elitesecurity.org/tex/8ce04daf850d8d8155c87c3c14c52fe3.png)
![](https://static.elitesecurity.org/tex/f2cf21ecf3281d647df981260586bb30.png)
ako i samo ako je
![](https://static.elitesecurity.org/tex/ff484b265c7cf8f9b34dd95fa80dd2e0.png)
![](https://static.elitesecurity.org/tex/bd54bef226e3a4edb270672a4c1eb7ec.png)
![](https://static.elitesecurity.org/tex/8ce04daf850d8d8155c87c3c14c52fe3.png)
![](https://static.elitesecurity.org/tex/b881754d7138d96e0b472c4de5caf62b.png)
Dokaz
U dokazu mi nije najjasnija jedna stvar
Dodje se lako do oblika
![](https://static.elitesecurity.org/tex/bbcd62fee068b0e90b8616cdb27fd0f0.png)
Onda kaze to vazi za svako moguce
![](https://static.elitesecurity.org/tex/f7c3e230058126236d1c0abd1c5f7267.png)
![](https://static.elitesecurity.org/tex/14f3b06e43088401ff7b47a1654fcd1d.png)
Ovo ne prihvatam tek tako lako? Zasto?
Nakon ovog se lako dobije
![](https://static.elitesecurity.org/tex/b881754d7138d96e0b472c4de5caf62b.png)