Derivation of the energy-time uncertainty relation
نویسندگان
چکیده
منابع مشابه
A derivation of the time-energy uncertainty relation
Some of the difficulties that have occurred in the past associated with the derivation of a time-energy uncertainty relation are discussed. Then it is shown that, beginning with a time-independent quantum composite of system and environment, a time-energy uncertainty relation for the system alone can be derived in the limit that the environment becomes classical, to provide a classical clock wi...
متن کاملThe Time Energy Uncertainty Relation
has been a controversial issue since the advent of quantum theory, with respect to appropriate formalisation, validity and possible meanings. Already the first formulations due to Bohr, Heisenberg, Pauli and Schrödinger are very different, as are the interpretations of the terms used. A comprehensive account of the development of this subject up to the 1980s is provided by a combination of the ...
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Suppose that the Hamiltonian acting on a quantum system is unknown and one wants to determine which is the Hamiltonian. We show that, in general, this requires a time Dt that obeys the uncertainty relation DtDH *1, where DH is a measure of how accurately the unknown Hamiltonian must be estimated. We apply this result to the problem of measuring the energy of an unknown quantum state. It has bee...
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The reciprocal time operator which is suggested by the notion of partial stationarity is shown to permit an unambiguous and non-singular statement of the energy-time uncertainty relation. (Submitted to Phys. Rev. D) *Research partially supported by the U. S. Air Force Office of Scientific Research and the U.S. Atomic Energy Commission TPermanent address: Department of Physics and Astronomy, Uni...
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Neutrino oscillations are discussed from the point of view of the time-energy uncertainty relation.
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1994
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.50.933