Uncertainty Relation between Detection Probability and Energy Fluctuations

The Relation Between Inflation and Inflation Uncertainty In Iran

The 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 ...

Measuring energy, estimating Hamiltonians, and the time-energy uncertainty relation

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...

An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model

Using a variant of the interpolating Hamiltonian technique, we show that there exists, in the Sherrington-Kirkpatrick spin glass, an exact connection between the sample-to-sample fluctuations of the free energy and bond chaos involving 2and 4-replica overlaps between replicas with different but correlated bonds. This relation is used to derive an upper bound of the fluctuations. PACS numbers: 7...

Three dimensional time and energy operators and an uncertainty relation

Recently, there appeared several papers that introduce three dimensional time in the context of quantum mechanics (see, e.g., [1], [4]). The purposes of these papers are different but have similarity in attempting to get better understanding of nature of time and the related areas in physics. We here introduce a new definition of three dimensional time as well as three dimensional energy with t...