[HTML][HTML] Time and quantum clocks: A review of recent developments
In this review we present the problem of time in quantum physics, including a short history of
the problem and the known objections about considering time as a quantum observable …
the problem and the known objections about considering time as a quantum observable …
Factorization: little or great algorithm?
B Mielnik, O Rosas-Ortiz - Journal of Physics A: Mathematical …, 2004 - iopscience.iop.org
The progress of the factorization method since the 1935 work of Dirac is briefly reviewed.
Though linked with older mathematical theories the factorization seems an autonomous' …
Though linked with older mathematical theories the factorization seems an autonomous' …
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 …
E Galapon - Proceedings of the Royal Society of London …, 2002 - royalsocietypublishing.org
In single Hilbert space, Pauli's well–known theorem implies that the existence of a self–
adjoint time operator canonically conjugate to a given Hamiltonian requires the Hamiltonian …
adjoint time operator canonically conjugate to a given Hamiltonian requires the Hamiltonian …
Times of arrival and gauge invariance
We revisit the arguments underlying two well-known arrival-time distributions in quantum
mechanics, viz., the Aharonov–Bohm–Kijowski (ABK) distribution, applicable for freely …
mechanics, viz., the Aharonov–Bohm–Kijowski (ABK) distribution, applicable for freely …
Tunnelling time and tunnelling dynamics
K Maji, CK Mondal… - International Reviews in …, 2007 - Taylor & Francis
The concept of 'tunnelling time'in the context of quantum particle tunnelling is reviewed.
Various suggestions of linking the tunnelling dynamics with a characteristic time (real or …
Various suggestions of linking the tunnelling dynamics with a characteristic time (real or …
Time-of-arrival probabilities for general particle detectors
C Anastopoulos, N Savvidou - Physical Review A—Atomic, Molecular, and …, 2012 - APS
We develop a general framework for the construction of probabilities for the time of arrival in
quantum systems. The time of arrival is identified with the time instant when a transition in …
quantum systems. The time of arrival is identified with the time instant when a transition in …
Energy–time and frequency–time uncertainty relations: Exact inequalities
VV Dodonov, AV Dodonov - Physica Scripta, 2015 - iopscience.iop.org
We give a short review of known exact inequalities that can be interpreted as' energy–
time'and'frequency–time'uncertainty relations. In particular we discuss a precise form of …
time'and'frequency–time'uncertainty relations. In particular we discuss a precise form of …
Relativistic free-motion time-of-arrival operator for massive spin-0 particles with positive energy
PC Flores, EA Galapon - Physical Review A, 2022 - APS
A relativistic version of the Aharonov-Bohm time-of-arrival operator for spin-0 particles was
constructed by Razavi [Il Nuovo Cimento B 63, 271 (1969) 0369-3554 …
constructed by Razavi [Il Nuovo Cimento B 63, 271 (1969) 0369-3554 …
Tunneling flight time, chemistry, and special relativity
J Petersen, E Pollak - The Journal of Physical Chemistry Letters, 2017 - ACS Publications
Attosecond ionization experiments have not resolved the question “What is the tunneling
time?”. Different definitions of tunneling time lead to different results. Second, a zero …
time?”. Different definitions of tunneling time lead to different results. Second, a zero …