- #1
Tio Barnabe
It's known that the time-translation operator is ##\exp(-i Ht)## and the space-translation operator is ##\exp(i (p \cdot x))##. The former causes a time-translation for a state vector whereas the latter causes a space-translation.
Can we operate with the two operators on the state vector? Like ##\exp(-i Ht) \exp(i p \cdot x)##.
What would be the interpretation? That the "particle" is moving in both space and time?
Can we operate with the two operators on the state vector? Like ##\exp(-i Ht) \exp(i p \cdot x)##.
What would be the interpretation? That the "particle" is moving in both space and time?