- #1
Dracovich
- 87
- 0
1. I have a fairly straight forward problem (or basically, i need help to just get started on my problem), i have forgotten all my QM and am in a "bit" over my head here. Basically i am having problems remembering how one would go about treating operators that are inside exponentials.
2. So i have [tex]e^{\hat{U^{\dagger}}}\hat{A}e^{\hat{U}}[/tex] and basically was just wondering how one combines the A and U operator in some way
3. I honestly didn't get very far, looking through some of the basic coursebooks for QM i didn't find it at least in an obvious place (as in where they explain the basic properties of operators) and looking around/googling etc the closest i got was to represent it as a power series, i tried writing that out and see if it got me somewhere but i couldn't see how it was suppose to help me (although I'm sure it should).
2. So i have [tex]e^{\hat{U^{\dagger}}}\hat{A}e^{\hat{U}}[/tex] and basically was just wondering how one combines the A and U operator in some way
3. I honestly didn't get very far, looking through some of the basic coursebooks for QM i didn't find it at least in an obvious place (as in where they explain the basic properties of operators) and looking around/googling etc the closest i got was to represent it as a power series, i tried writing that out and see if it got me somewhere but i couldn't see how it was suppose to help me (although I'm sure it should).