首页/论文/quant-ph/9511032

arXiv quant-ph/95110321995-11quant-ph

Remarks on Consistent Histories and Bohmian Mechanics

Adrian Kent

备注：: 14 pages, TeX with harvmac. Minor corrections from previous archive version
发表信息：: Published in ``Bohmian Mechanics and Quantum Theory: An Appraisal'', J. Cushing, A. Fine and S. Goldstein (eds), Kluwer Academic Press (Dordrecht, 1996), pp. 343-352

英文摘要：

Recent work with Dowker on the scientific status of the consistent histories approach to quantum theory is reviewed and summarised. The approach is compared with formulations of quantum theory, such as Bohmian mechanics and the Copenhagen interpretation a la Landau-Lifshitz, in which classical variables are explicitly appended. I try to explain why the consistent histories formulation is scientifically problematic, in that it is a very weak theory, but also scientifically interesting, shedding new light on quantum theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Bohmian mechanics and consistent histories

The interpretations of a particular quantum gedanken experiment provided by Bohmian mechanics and consistent histories are shown to contradict each other, both in the absence and in the presence of a measuring device. The consistent history result seems closer to standard quantum mechanics, and shows no evidence of the mysterious nonlocal influences present in the Bohmian description.

1999-04-28quant-ph

Bohmian Histories and Decoherent Histories

The predictions of the Bohmian and the decoherent (or consistent) histories formulations of the quantum mechanics of a closed system are compared for histories -- sequences of alternatives at a series of times. For certain kinds of histories, Bohmian mechanics and decoherent histories may both be formulated in the same mathematical framework within which they can be compared. In that framework, Bohmian mechanics and decoherent histories represent a given history by different operators. Their predictions for the probabilities of histories therefore generally differ. However, in an idealized mod…

2004-04-02gr-qcquant-ph

Wheeler-DeWitt quantization and singularities

We consider a Bohmian approach to the Wheeler-DeWitt quantization of the Friedmann-Lemaitre-Robertson-Walker model and investigate the question whether or not there are singularities, in the sense that the universe reaches zero volume. We find that for generic wave functions (i.e., non-classical wave functions), there is a non-zero probability for a trajectory to be non-singular. This should be contrasted to the consistent histories approach for which it was recently shown by Craig and Singh that there is always a singularity. This result illustrates that the question of singularities depends …

2015-01-17gr-qchep-thquant-ph

What is Surrealistic about Bohm Trajectories?

We discuss interferometers in Bohmian quantum mechanics. It is shown that, with the correct configuration space, Bohm trajectories in a which way interferometer are not surrealistic, but behaves exactly as common sense suggests. Some remarks about a way to generalize Bohmian mechanics to treat density matrix are also made. PACS: 03.65.Bz, 03.75.Dg Key words: Bohm Trajectories, Which Way Interferometers, ESSW

1998-09-03quant-ph

Epistemological remarks about the Ghirardi-Rimini-Weber quantum theory

We discuss the epistemological features of the Ghirardi, Rimini and Weber proposal to modify quantum mechanics in order to overcome the objectification problem, that means the transition between the quantum and the classical level of description of natural phenomena. We shall show that the GRW is a realistic theory, but in a way quite different from Einstein realism or other kinds of realism proposed in the past, such as the Many World Interpretation or the Bohmian Mechanics.

2021-03-08quant-ph

Bohmian pathways into chemistry: A brief overview

Perhaps because of the popularity that trajectory-based methodologies have always had in Chemistry and the important role they have played, Bohmian mechanics has been increasingly accepted within this community, particularly in those areas of the theoretical chemistry based on quantum mechanics, e.g., quantum chemistry, chemical physics, or physical chemistry. From a historical perspective, this evolution is remarkably interesting, particularly when the scarce applications of Madelung's former hydrodynamical formulation, dating back to the late 1960s and the 1970s, are compared with the many d…

2018-01-15cond-mat.stat-mechphysics.chem-phquant-ph

更多相关论文收起更多论文

Consistent Quantum Measurements

In response to recent criticisms by Okon and Sudarsky, various aspects of the consistent histories (CH) resolution of the quantum measurement problem(s) are discussed using a simple Stern-Gerlach device, and compared with the alternative approaches to the measurement problem provided by spontaneous localization (GRW), Bohmian mechanics, many worlds, and standard (textbook) quantum mechanics. Among these CH is unique in solving the second measurement problem: inferring from the measurement outcome a property of the measured system at a time before the measurement took place, as is done routinel…

2015-07-27quant-ph

On the quantum probability flux through surfaces

We remark that the often ignored quantum probability current is fundamental for a genuine understanding of scattering phenomena and, in particular, for the statistics of the time and position of the first exit of a quantum particle from a given region, which may be simply expressed in terms of the current. This simple formula for these statistics does not appear as such in the literature. It is proposed that the formula, which is very different from the usual quantum mechanical measurement formulas, be verified experimentally. A full understanding of the quantum current and the associated form…

1997-02-18quant-ph

Some remarks on the mentalistic reformulation of the measurement problem. A reply to S. Gao

Gao (2017) presents a new mentalistic reformulation of the well-known measurement problem affecting the standard formulation of quantum mechanics. According to this author, it is essentially a determinate-experience problem, namely a problem about the compatibility between the linearity of the Schroedinger's equation, the fundamental law of quantum theory, and definite experiences perceived by conscious observers. In this essay I aim to clarify (i) that the well-known measurement problem is a mathematical consequence of quantum theory's formalism, and that (ii) its mentalistic variant does not…

2019-01-16quant-ph

de Broglie-Bohm 视角下的 Unruh 效应

The Unruh effect under the de Broglie-Bohm perspective

本文在 de Broglie-Bohm 量子理论框架下研究加速观察者眼中的 Minkowski 真空，通过 Bohmian 轨迹计算揭示 Unruh 温度的量子与经典成分周期性交替主导，并展示特殊场构型的物理性质。

2023-04-21cond-mat.stat-mechgr-qchep-th

不确定性原理、不确定性关系与底层轨迹：费曼、纳尔逊、玻姆与持续卡茨-狄拉克动力学

Quantum Uncertainty and Particle Trajectories: From Heisenberg and Schrödinger to Constructive Dynamical Models

Tagore Centre for Natural Sciences and Philosophy（泰戈尔自然科学与哲学中心）

本文区分量子不确定性关系与广义不确定性原理，通过费曼路径、纳尔逊随机力学、玻姆力学及卡茨动力学证明不确定性关系不排除底层轨迹描述，从而驳斥其否定微观轨迹的本体论解读。

2026-10-16quant-ph

Theory of Quantum Path Entanglement and Interference with Multiplane Diffraction of Classical Light Sources

Quantum history states were recently formulated by extending the consistent histories approach of Griffiths to the entangled superposition of evolution paths and were then experimented with Greenberger--Horne--Zeilinger states. Tensor product structure of history-dependent correlations was also recently exploited as a quantum computing resource in simple linear optical setups performing multiplane diffraction (MPD) of fermionic and bosonic particles with remarkable promises. This significantly motivates the definition of quantum histories of MPD as entanglement resources with the inherent capa…

2020-02-21quant-ph

由相互作用量子记忆驱动的酉演化：封闭量子系统利用其状态历史自我引导

Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories

本文提出由量子记忆相互作用驱动的酉演化框架，通过非局域非线性方程实现系统自我引导，并分类了丰富的相图与相变行为。

2023-05-05quant-ph

Quantum Mechanics and Reality

We begin by discussing ``What exists?'', i.e. ontology, in Classical Physics which provided a description of physical phenomena at the macroscopic level. The microworld however necessitates a introduction of Quantum ideas for its understanding. It is almost certain that the world is quantum mechanical at both microscopic as well as at macroscopic level. The problem of ontology of a Quantum world is a difficult one. It also depends on which interpretation is used. We first discuss some interpretations in which Quantum Mechanics does not provide a complete framework but has to be supplemented by…

2004-12-20quant-ph

事件宇宙的涌现量子力学，通过 Dendrographic Hologram Theory 实现事件的量子化

Emergent quantum mechanics of the event-universe, quantization of events via Denrographic Hologram Theory

本文基于仅由事件组成的宇宙，在 Dendrographic Hologram Theory 框架下，通过推广 Smolin 的方案对事件差异进行量子化，解析推导出量子力学与 Bohmian mechanics，并借此推进广义相对论的量子化研究。

2023-03-10quant-ph