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The present work analyzes the meaning of the Weak Equivalence Principle in the context of quantum mechanics. A quantal definition for this principle is introduced. This definition does not require the concept of trajectory and relies upon…

广义相对论与量子宇宙学 · 物理学 2009-11-18 Abel Camacho , Arturo Camacho-Guardian

We investigate the interaction of the gravitational field with a quantum particle. First, we give the proof of the equality of the inertial and the gravitational mass for the nonrelativistic quantum particle, independently of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jaroslaw Wawrzycki

In this paper, we investigate a characterization of Quantum Mechanics by two physical principles based on general probabilistic theories. We first give the operationally motivated definition of the physical equivalence of states and…

量子物理 · 物理学 2010-12-30 Gen Kimura , Koji Nuida , Hideki Imai

The equivalence of active and passive (EAP) gravitational mass is one of the most fundamental principles of gravity. But in contrast to the usual equivalence of inertial and (passive) gravitational mass, the EAP has not received much…

量子物理 · 物理学 2025-03-21 Vasileios Fragkos , Igor Pikovski

Using a model quantum clock, I evaluate an expression for the time of a non-relativistic quantum particle to transit a piecewise geodesic path in a background gravitational field with small spacetime curvature (gravity gradient), in the…

量子物理 · 物理学 2009-11-10 P C W Davies

We propose a model describing spin-half quantum particles in curved spacetime in the framework of quantum field theory. Our model is based on embodying Einstein's equivalence principle and general covariance in the definition of…

广义相对论与量子宇宙学 · 物理学 2023-07-26 Viacheslav A. Emelyanov

We consider the motion of a particle in a uniform field in noncommutative space which is rotationally invariant. On the basis of exact calculations it is shown that there is an effect of coordinate noncommutativity on the mass of a…

量子物理 · 物理学 2016-02-15 Kh. P. Gnatenko , V. M. Tkachuk

A mechanism describing state reduction dynamics in relativistic quantum field theory is outlined. The mechanism involves nonlinear stochastic modifications to the standard description of unitary state evolution and the introduction of a…

量子物理 · 物理学 2015-05-18 Daniel J. Bedingham

We consider a physical system in which the description of states and measurements follow the usual quantum mechanical rules. We also assume that the dynamics is linear, but may not be fully quantum (i.e unitary). We show that in such a…

量子物理 · 物理学 2009-10-31 Aditi Sen De , Ujjwal Sen

We show a hitherto unexplored consequence of the property of identicity in quantum mechanics. If two identical objects, distinguished by a dynamical variable A, are in certain entangled states of another dynamical variable B, then, for such…

量子物理 · 物理学 2007-05-23 S. Bose , D. Home

We develop an image theory for the recently proposed single-bounce quantum gravimeter. Free fall and quantum bounce of a matter wave-packet are described through decompositions over a basis of continuous energies. This leads to a much…

量子物理 · 物理学 2025-12-04 Joachim Guyomard , Serge Reynaud , Pierre Cladé

The task of quantizing gravity is compared with Einstein's relativization of gravity. The philosophical and physical foundations of general relativity are briefly reviewed. The Ehlers-Pirani-Schild scheme of operationally determining the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jeeva S. Anandan

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

Friction incorporates the close connection between classical mechanics in irreversible thermodynamics. The translation to a quantum mechanical foundation is not trivial and requires a generalization of the Lagrange function. A change to…

医学物理 · 物理学 2015-02-02 W. Ulmer

The work argues the principle of equivalence to be a theorem and not a principle (in a sense of an axiom). It contains a detailed analysis of the concepts of normal and inertial frame of reference. The equivalence principle is proved to be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Bozhidar Z. Iliev

Modern, state of the art nanomechanical devices are capable of creating spatial superpositions that are massive enough to begin to experimentally access the quantum to classical crossover, and thus force us to consider the possible ways in…

介观与纳米尺度物理 · 物理学 2012-01-23 Jasper van Wezel , Tjerk H. Oosterkamp

A new approach to quantum mechanics based on independence of the Continuum Hypothesis is proposed. In one-dimensional case, it is shown that the properties of the set of intermediate cardinality coincide with quantum phenomenology.

量子物理 · 物理学 2007-05-23 O. Yaremchuk

We consider the problem of determining the state of a quantum system given one or more readings of the expectation value of an observable. The system is assumed to be a finite dimensional quantum control system for which we can influence…

量子物理 · 物理学 2009-11-10 Domenico D'Alessandro

Although the standard viewpoint in theoretical physics is that the unification of quantum theory and general relativity requires the quantization of gravity and spacetime, there is not consensus about whether spacetime must fundamentally…

量子物理 · 物理学 2022-05-23 Damián Pitalúa-García

A simple mapping procedure is presented by which classical orbits and path integrals for the motion of a point particle in flat space can be transformed directly into those in curved space with torsion. Our procedure evolved from…

量子物理 · 物理学 2008-02-03 H. Kleinert