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The definitions of classical and quantum singularities in general relativity are reviewed. The occurence of quantum mechanical singularities in certain spherically symmetric and cylindrically symmetric (including infinite line…

广义相对论与量子宇宙学 · 物理学 2007-05-23 D. A. Konkowski , T. M. Helliwell , C. Wieland

Quantum descriptions of polarization show the rich degrees of freedom underlying classical light. While changes in polarization of light are well-described classically, a full quantum description of polarimetry, which characterizes…

量子物理 · 物理学 2020-04-22 Aaron Z. Goldberg

Self-induced decoherence formalism and the corresponding classical limit are extended from quantum integrable systems to non-integrable ones.

量子物理 · 物理学 2007-05-23 Mario Castagnino

Quantum theory's irreducible empirical core is a probability calculus. While it presupposes the events to which (and on the basis of which) it serves to assign probabilities, and therefore cannot account for their occurrence, it has to be…

量子物理 · 物理学 2014-11-03 Ulrich Mohrhoff

Emergence of the classical world from the quantum substrate of our Universe is a long-standing conundrum. I describe three insights into the transition from quantum to classical that are based on the recognition of the role of the…

量子物理 · 物理学 2018-07-11 Wojciech Hubert Zurek

The roles of decoherence and environment-induced superselection in the emergence of the classical from the quantum substrate are described. The stability of correlations between the einselected quantum pointer states and the environment…

量子物理 · 物理学 2011-08-04 Wojciech H. Zurek

Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of quantization of such systems. The accent is put in situations where traces of…

量子物理 · 物理学 2022-07-22 Thierry Paul

Starting from a simple classical framework and employing some stochastic concepts, the basic ingredients of the quantum formalism are recovered. It has been shown that the traditional axiomatic structure of quantum mechanics can be rebuilt,…

量子物理 · 物理学 2009-11-11 Stephan I. Tzenov

Globally-constrained classical fields provide a unexplored framework for modeling quantum phenomena, including apparent particle-like behavior. By allowing controllable constraints on unknown past fields, these models are retrocausal but…

量子物理 · 物理学 2018-07-04 Ken Wharton

Understanding how classical physics emerges from quantum mechanics remains a central problem in the foundations of physics. Here we derive a classical limit from finite-resolution measurements, modeled by continuous coarse-grained POVMs.…

The quantum measurement problem, the unresolved conflict between the unitary evolution of the wave function and the postulate of wave function collapse, remains the most profound conceptual challenge in quantum foundations. While…

量子物理 · 物理学 2025-09-17 Eyad I. B Hamid

In quantum mechanics, wave functions and density matrices represent our knowledge about a quantum system and give probabilities for the outcomes of measurements. If the combined dynamics and measurements on a system lead to a density matrix…

量子物理 · 物理学 2016-12-07 D. Tan , M. Naghiloo , K. Mølmer , K. W. Murch

We start from classical general relativity coupled to matter fields. Each configuration variable and its conjugate momentum, as also space-time points, are raised to the status of matrices [equivalently operators]. These matrices obey a…

广义相对论与量子宇宙学 · 物理学 2020-11-09 Tejinder P. Singh

I review arguments demonstrating how the concept of "particle" numbers arises in the form of equidistant energy eigenvalues of coupled harmonic oscillators representing free fields. Their quantum numbers (numbers of nodes of the wave…

量子物理 · 物理学 2010-11-04 H. D. Zeh

The question of classicality is addressed in relation with the shape of the nuclear skeleton of molecular systems. As the most natural environment, the electrons of the molecule are considered as continuously monitoring agents for the…

量子物理 · 物理学 2021-01-05 Edit Matyus , Patrick Cassam-Chenai

Algorithmic approach is based on the assumption that any quantum evolution of many particle system can be simulated on a classical computer with the polynomial time and memory cost. Algorithms play the central role here but not the…

量子物理 · 物理学 2007-05-23 Yuri Ozhigov

The present work proposes an alternative approach to the problem of the emergence of classicality. Typical approaches developed in the literature derive the classical behaviour of a quantum system from conditions that concern the value of…

量子物理 · 物理学 2024-12-11 Giuseppe Nisticò

The correspondence principle states that classical mechanics emerges from quantum mechanics in the appropriate limits. However, beyond this heuristic rule, an information-theoretic perspective reveals that classical mechanics is a…

量子物理 · 物理学 2025-03-12 Krzysztof Sienicki

The one particle quantum mechanics is considered in the frame of a N-body classical kinetics in the phase space. Within this framework, the scenario of a subquantum structure for the quantum particle, emerges naturally, providing an…

量子物理 · 物理学 2009-11-07 G. Kaniadakis

Quantum mechanical interference of wave functions leads to some difficulties if a probability density is considered as a source of gravity. We show that an introduction of a quantum energy-momentum tensor as a source term in Einstein…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Z. Haba