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We analyze the problem of one dimensional quantum particle falling in a constant gravitational field, also known as the {\it bouncing ball}, employing a semiclassical approach known as momentous effective quantum mechanics. In this…

量子物理 · 物理学 2019-04-16 Guillermo Chacon-Acosta , Hector Hernandez-Hernandez , Mercedes Velazquez

We present a theory of discontinuous motion of particles in continuous space-time. We show that the simplest nonrelativistic evolution equation of such motion is just the Schroedinger equation in quantum mechanics. This strongly implies…

量子物理 · 物理学 2007-05-23 Rui Qi

Time evolution generically entangles a quantum state with environmental degrees of freedom. The resulting increase in entropy changes the properties of that quantum system leading to "aging". It is interesting to ask if this familiar…

量子物理 · 物理学 2022-06-08 Mark G. Raizen , David E. Kaplan , Surjeet Rajendran

Vacuum decay in de Sitter space is a process of great physical interest, as it allows to rule out cosmological models in the early and current Universe. Its rate may be described in terms of an instanton in Euclidean space called bounce and…

广义相对论与量子宇宙学 · 物理学 2022-05-24 Silvia Vicentini

Distinguishability plays a major role in quantum and statistical physics. When particles are identical their wave function must be either symmetric or antisymmetric under permutations and the number of microscopic states, which determines…

统计力学 · 物理学 2022-03-30 Nadav M. Shnerb

I argue that Einstein overlooked an important aspect of the relativity of time in never quite realizing his quest to embody Mach's principle in his theory of gravity. As a step towards that goal, I broaden the Strong Equivalence Principle…

广义相对论与量子宇宙学 · 物理学 2010-04-21 David L. Wiltshire

Using Relativistic Quantum Geometry we study back-reaction effects of space-time inside the causal horizon of a static de Sitter metric, in order to make a quantum thermodynamical description of space-time. We found a finite number of…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Juan Ignacio Musmarra , Mauricio Bellini

Each scheme of state reconstruction comes down to parametrize the state of a quantum system by expectation values or probabilities directly measurable in an experiment. It is argued that the time evolution of these quantities provides an…

量子物理 · 物理学 2014-11-18 Stefan Weigert

We present a theoretical analysis of quantum decay in which the survival probability is replaced by a decay rate that is equal to the absolute value squared of the wave function in the time representation. The wave function in the time…

量子物理 · 物理学 2013-07-03 Rafael de la Madrid

In this article we study the nature of time in Mechanics. The fundamental principle, according to which a mechanical system evolves governed by a second order differential equation, implies the existence of an absolute time-duration in the…

数学物理 · 物理学 2018-09-21 J. Muñoz-Díaz , R. J. Alonso-Blanco

The full algebra of relativistic quantum mechanics (Lorentz plus Heisenberg) is unstable. Stabilization by deformation leads to a new deformation parameter $\epsilon \ell ^{2}$, $\ell $ being a length and $\epsilon$ a $\pm$ sign. The…

量子物理 · 物理学 2009-11-07 Eric Carlen , R. Vilela Mendes

Two alternative interpretations of the quantum collapse are proposed: a time-ordered and a timeless one. The time-ordered interpretation implies that the speed of light can be defined in an absolute way, while the timeless quantum collapse…

量子物理 · 物理学 2014-01-17 Antoine Suarez

The temporal evolution of an unstable quantum mechanical system undergoing repeated measurements is investigated. In general, by changing the time interval between successive measurements, the decay can be accelerated (inverse quantum Zeno…

量子物理 · 物理学 2009-11-06 P. Facchi , H. Nakazato , S. Pascazio

Using the quantum transition path time probability distribution we show that time averaging of weak values leads to unexpected results. We prove a weak value time energy uncertainty principle and time energy commutation relation. We also…

量子物理 · 物理学 2018-09-05 Eli Pollak , S. Miret-Artés

Relativistic quantum theory shows that the known Einstein time dilation (ED) approximately holds for the decay law of the unstable particle having definite momentum p (DP). I use a different definition of the moving particle as the state…

量子物理 · 物理学 2007-05-23 M. I. Shirokov

We study particle decay in de Sitter space-time as given by first order perturbation theory in a Lagrangian interacting quantum field theory. We study in detail the adiabatic limit of the perturbative amplitude and compute the "phase space"…

高能物理 - 理论 · 物理学 2014-11-18 Jacques Bros , Henri Epstein , Ugo Moschella

One of the most widely known building blocks of modern physics is Heisenberg's indeterminacy principle. Among the different statements of this fundamental property of the full quantum mechanical nature of physical reality, the uncertainty…

量子物理 · 物理学 2017-10-17 Sebastian Deffner , Steve Campbell

In this letter we discuss the possibility of treating the spacetime by itself as a kind of deformable body for which we can define an fundamental lattice, just like atoms in crystal lattices. We show three signs pointing in that direction.…

广义相对论与量子宇宙学 · 物理学 2007-05-30 M. O. Tahim , R. R. Landim , C. A. S. Almeida

It is considered to re-formulate quantum theory as it appears: A theory of continuous and causal time evolution, interrupted by discontinuous and stochastic jumps. To develop the (missing) theory of jumps a heuristic-phenomenological…

高能物理 - 唯象学 · 物理学 2008-02-03 Bernd A. Berg

For quantum effects $a$ and $b$ we define the $a$-evolution of $b$ at time $t$ denoted by $b(t\mid a)$. We interpret $b(t\mid a)$ as the influence that $a$ has on $b$ at time $t$ when $a$ occurs, but is not measured at time $t=0$. Using…

量子物理 · 物理学 2021-05-18 Stan Gudder