scholarly journals Pauli's theorem and quantum canonical pairs: the consistency of a bounded, self–adjoint time operator canonically conjugate to a Hamiltonian with non–empty point spectrum

2002 ◽  
Vol 458 (2018) ◽  
pp. 451-472 ◽  
Author(s):  
Eric Galapon
Keyword(s):  
Point Spectrum ◽  
Time Operator ◽  
Pauli’S Theorem

Translations in quantum mechanics revisited. The point spectrum case

2016 ◽  
Vol 94 (12) ◽  
pp. 1365-1368 ◽  
Author(s):  
Armando Martínez-Pérez ◽  
Gabino Torres-Vega
Keyword(s):  
Quantum Mechanics ◽  
Point Spectrum ◽  
Time Operator

We study translations in quantum mechanics for the case of a point spectrum, including translations by non-allowed amounts. We find that we obtain a copy of the original interval if we want to move to the outside of it, or to a mixture of states when moving to non-spectrum values (i.e., an interpolation eigenfunction). These results will clarify the meaning of the Pauli statement about the existence of a time operator in quantum mechanics.

Resonances and time operator for the cusp map

2003 ◽  
Vol 17 (2-3) ◽  
pp. 445-448 ◽  
Author(s):  
I. Antoniou ◽  
S.A. Shkarin
Keyword(s):  
Time Operator
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