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math-ph2015★ 3 cited
Energy-time uncertainty principle and lower bounds on sojourn time
Joachim Asch, Olivier Bourget, Victor Cortes +1
One manifestation of quantum resonances is a large sojourn time, or autocorrelation, for states which are initially localized. We elaborate on Lavine's time-energy uncertainty prin…
math-ph2011★ 9 cited
Commutator methods for unitary operators
C. Fernandez, S. Richard, R. Tiedra de Aldecoa
We present an improved version of commutator methods for unitary operators under a weak regularity condition. Once applied to a unitary operator, the method typically leads to the…