Advanced Quantum Mechanics by Rainer Dick
Author:Rainer Dick
Language: eng
Format: epub, pdf
Publisher: Springer New York, New York, NY
(14.4)
Equivalently, we could also have arrived at this equation directly from the composition property (13.5) of the time evolution operator and the completeness of the Schrödinger picture eigenkets | x⟩.
Equation (14.4) implies in particular for the initial state the evolution equation
(14.5)
Intuitively the formula (14.5) can be considered as an integration over the set of all paths that a particle can take from an initial location x 0 at time t 0 to the location x at time t. In particular, if we use
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