Measurability of quantum fields and the energy-time uncertainty relation

Mensky, Michael B.

doi:10.3367/ufne.0181.201105f.0543

Cited by 11 publications

(6 citation statements)

References 22 publications

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“…In the approach, the concepts of the "arrow of time" and irreversibility are rather connected with its subjective feeling of the observer then with the objective property of material itself. It is assumed, the further study of this interpretation will be possible after the construction of the model of "quantum consciousness", which is discussed in the work [11]. Obviously, the approaches examined above contain a subjective, anthropomorphic element.…”

Section: Introductionmentioning

confidence: 99%

“…Another interpretation of quantum mechanics is proposed by H. Everett (relative state interpretation) [6]. It was developed in the works [7], [8] (many-world interpretation); [9], [10], [11] (extension of Everett's concept). Many-world interpretation allows the existence of the infinite numbers of classical realities: each term of quantum superposition corresponds to one classical world.…”

Section: Introductionmentioning

confidence: 99%

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Irreversible evolution of a charged spin particle analyzed on the basis of subdynamics theory

Shirmovsky

2009

Physica A: Statistical Mechanics and its Applications

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The time evolution of a charged spin 1/2 particle interacting with a magnetic field is analyzed in the framework of the complex spectral theory, based on Prigogine's principles that provide a rigorous description of irreversibility. A detailed survey of the irreversible relaxation process of the spin 1/2 particle is carried out on the basis of the subdynamics theory. We obtain the results for the Markovian and the non-Markovian evolution of the charged particle.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Irreversible evolution of a charged spin particle analyzed on the basis of subdynamics theory

Shirmovsky

2009

Physica A: Statistical Mechanics and its Applications

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“…Such contradictions and ambiguities were analyzed in detail in [266]. For other studies on this subject we can recommend [8,9,210,[274][275][276][277][278][279][280][281][282][283]. Among many interesting results obtained in this area we bring two inequalities proposed by Vorontsov [265] (although they were not proven rigorously):…”

Section: Measurements Of Energy and Timementioning

confidence: 99%

Energy–time and frequency–time uncertainty relations: exact inequalities

Dodonov

Додонов

2015

Phys. Scr.

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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 signals minimizing the physical frequencytime uncertainty product. Also, we calculate the 'stationarity time' for mixed Gaussian states of a quantum harmonic oscillator, showing explicitly that pure quantum states are 'more fragile' than mixed ones with the same value of the energy dispersion. The problems of quantum evolution speed limits, time operators and measurements of energy and time are briefly discussed, too. This is our present to Margarita Alexandrovna and Vladimir Ivanovich Man'ko on occasion of their 75th birthdays. ‡ Heisenberg and Bohr used the symbols = or ∼ instead of . arXiv:1504.00862v1 [quant-ph] 3 Apr 2015Energy-time and frequency-time uncertainty relations: exact inequalities

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“…This mechanical hamiltonian system allows investigating of dissipation, decoherence, correlation, continuous quantum measurement, quantum-to-classical transition and other important phenomena in nature. It is well-known that the model has been successful in describing the Brownian dynamics of selected particles coupled to a bath, see, for example, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Study of the pure Hamiltonian composite system yields a reason of irreversibility in the dynamics of a selected quantum system interacting with surroundings after reduction with respect to reservoirs variables.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of two externally driven coupled quantum oscillators interacting with separate baths based on path integrals

Dorofeyev

2016

Physica A: Statistical Mechanics and its Applications

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The paper deals with the problem of dynamics of externally driven open quantum systems. Using the path integral methods we found an analytical expression for time-dependent density matrix of two externally driven coupled quantum oscillators interacting with different baths of oscillators.It is shown that at the zeroing of external forces the density matrix becomes identical to the previously obtained one for freely developing coupled oscillators. Mean values of observables are computed by using the Hermitian part of the matrix. All elements of the covariance matrix composed by coordinates and momenta of two driven coupled oscillators are calculated. The time-dependent mean values, dispersions and covariances of coordinates of coupled oscillators at given external forces are numerically studied. It is shown that the larger the coupling constant the larger is the disturbances of the second oscillator due to external action on the first oscillator.Coupled dynamics of forced oscillators at relatively large coupling constant is demonstrated at different thermodynamic conditions.

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Measurability of quantum fields and the energy-time uncertainty relation

Cited by 11 publications

References 22 publications

Irreversible evolution of a charged spin particle analyzed on the basis of subdynamics theory

Irreversible evolution of a charged spin particle analyzed on the basis of subdynamics theory

Energy–time and frequency–time uncertainty relations: exact inequalities

Dynamics of two externally driven coupled quantum oscillators interacting with separate baths based on path integrals

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