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The generalized uncertainty connection between the fluctuations of a quantum observable and its temporal derivative is derived in this study, we demonstrate that the product of an observable's uncertainties and its time derivative is…

量子物理 · 物理学 2025-08-26 Tarek Yehia

We investigate a conformal invariant gravitational model which is taken to hold at pre-inflationary era. The conformal invariance allows to make a dynamical distinction between the two unit systems (or conformal frames) usually used in…

高能物理 - 理论 · 物理学 2009-11-10 Yousef Bisabr

One approach to defining dynamics for quantum gravity in a naturally timeless setting is to select a suitable matter degree of freedom as a 'clock' before quantisation. This idea of deparametrisation was recently introduced in group field…

广义相对论与量子宇宙学 · 物理学 2021-04-15 Steffen Gielen , Axel Polaczek

A mechanism for suppressing the cosmological constant is developed, based on an analogy with a superconducting phaseshift in which free fermions coupled perturbatively to a weak gravitational field are in an unstable false vacuum state. The…

高能物理 - 理论 · 物理学 2007-05-23 Stephon Alexander , Manasse Mbonye , John Moffat

It is shown that the vacuum state of weakly interacting quantum field theories can be described, in the Heisenberg picture, as a linear combination of randomly distributed incoherent paths that obey classical equations of motion with…

高能物理 - 理论 · 物理学 2009-11-07 Ram Brustein , David H. Oaknin

In a differential approach elaborated, we study the evolution of the parameters of Gaussian, mixed, continuous variable density matrices, whose dynamics are given by Hermitian Hamiltonians expressed as quadratic forms of the position and…

量子物理 · 物理学 2020-05-26 Julio A. López-Saldívar , Margarita A. Man'ko , Vladimir I. Man'ko

We consider scenarios where the dynamics of a quantum system are partially determined by prior local measurements of some interacting environmental degrees of freedom. The resulting effective system dynamics are described by a disordered…

量子物理 · 物理学 2024-05-06 Šárka Blahnik , Sarah Shandera

The quantum instability of the mean-field theory for identical bosons is shown to be described by an appropriate Bogoliubov transformation. A connection between the quantum and classical linear stability theories is indicated. It is argued…

其他凝聚态物理 · 物理学 2009-11-11 Valery S. Shchesnovich

Quantum uncertainty relations have deep-rooted significance on the formalism of quantum mechanics. Heisenberg's uncertainty relations attracted a renewed interest for its applications in quantum information science. Robertson derived a…

量子物理 · 物理学 2023-02-16 Md. Manirul Ali

The linearization of semiclassical theories of gravity is investigated in a toy model, consisting of a quantum scalar field in interaction with a second classical scalar field which plays the role of a classical background. This toy model…

数学物理 · 物理学 2022-11-18 Paolo Meda , Nicola Pinamonti

Quantum timeless approaches solve the problem of time by recovering the usual unitary evolution of quantum theory relative to a clock in a stationary quantum Universe. For some Hamiltonians of the Universe, such as those including an…

量子物理 · 物理学 2026-04-14 Simone Rijavec

In classical external gauge fields that fall off less fast than the inverse of the evolution parameter (time) of the system the implementability of a unitary perturbative scattering operator ($S$-matrix) is not guaranteed, although the…

高能物理 - 理论 · 物理学 2008-11-26 Dennis D. Dietrich

In this paper, we study implications of the geometrical nature of space- time for some of the basic tenets of quantum mechanics. That is, we study two different implications of the principle of general covariance; first we quantize a…

广义相对论与量子宇宙学 · 物理学 2013-05-16 Johan Noldus

The need for a time-shift invariant formulation of quantum theory arises from fundamental symmetry principles as well as heuristic cosmological considerations. Such a description then leaves open the question of how to reconcile global…

量子物理 · 物理学 2019-06-26 Leon Loveridge , Takayuki Miyadera

Noncommutative geometry is a mathematical framework that expresses the structure of space-time in terms of operator algebras. By using the tools of quantum mechanics to describe the geometry, noncommutative space-times are expected to give…

数学物理 · 物理学 2024-07-03 Kilian Hersent

Open systems acquire time-dependent coupling constants through interaction with an external field or environment. We generalize the Lewis-Riesenfeld invariant theorem to open system of quantum fields after second quantization. The…

高能物理 - 理论 · 物理学 2011-07-19 S. P. Kim , A. E. Santana , F. C. Khanna

Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic systems as it applies in the many-body setting and away from any…

统计力学 · 物理学 2024-09-02 Jonathon Riddell , Curt von Keyserlingk , Tomaž Prosen , Bruno Bertini

Equations for cosmological evolution are formulated in a Weyl invariant formalism to take into account possible Weyl anomalies. Near two dimensions, the renormalized cosmological term leads to a nonlocal energy-momentum tensor and a slowly…

高能物理 - 理论 · 物理学 2016-07-20 Atish Dabholkar

We study dynamical supersymmetry breaking in vector-like superconformal N=1 gauge theories. We find appropriate deformations of the superpotential to overcome the problem of the instability of the non supersymmetric vacuum. The request for…

高能物理 - 理论 · 物理学 2011-03-18 Antonio Amariti , Luciano Girardello , Alberto Mariotti , Massimo Siani

The perturbative framework of the space-time non-commutative real scalar field theory is formulated, based on the unitary S-matrix. Unitarity of the S-matrix is explicitly checked order by order using the Heisenberg picture of Lagrangian…

高能物理 - 理论 · 物理学 2009-11-10 Chaiho Rim , Yunseok Seo , Jae Hyung Yee