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We show that a quantum state may be represented as the sum of a joint probability and a complex quantum modification term. The joint probability and the modification term can both be observed in successive projective measurements. The…

量子物理 · 物理学 2007-11-21 Lars M. Johansen

A non-relativistic quantum mechanical theory is proposed that describes the universe as a continuum of worlds whose mutual interference gives rise to quantum phenomena. A logical framework is introduced to properly deal with propositions…

量子物理 · 物理学 2015-08-18 Kim Joris Boström

The Born rule asserts the probability distribution of eigenstates observed in unbiased quantum measurements, but the reason it holds remains elusive. This manuscript discusses how the Born rule might be explained by Schrodinger equation…

量子物理 · 物理学 2024-09-04 Frank Torres

Measurements on a quantum particle unavoidably affect its state, since the otherwise unitary evolution of the system is interrupted by a non-unitary projection operation. In order to probe measurement-induced effects in the state dynamics…

We propose a generic protocol to experimentally measure the quantum metric tensor, a fundamental geometric property of quantum states. Our method is based on the observation that the excitation rate of a quantum state directly relates to…

介观与纳米尺度物理 · 物理学 2018-06-20 Tomoki Ozawa , Nathan Goldman

At present, there are two possible, and equally plausible, explanations for the physics of quantum measurement. The first explanation, known as the many-worlds interpretation, does not require any modification of quantum mechanics, and…

广义相对论与量子宇宙学 · 物理学 2009-07-24 T. P. Singh

Measurement plays a crucial role in a quantum system beyond just learning about the system state: it changes the post-measurement state and hence influences the subsequent time evolution; further, measurement can even create entanglement in…

量子气体 · 物理学 2026-04-09 Huy Nguyen , Yu-Xin Wang , Jacob M. Taylor

This paper posits the existence of, and finds a candidate for, a variable change that allows quantum mechanics to be interpreted as quantum geometry. The Bohr model of the Hydrogen atom is thought of in terms of an indeterministic electron…

综合物理 · 物理学 2019-05-17 Robert L. Navin

Quantum dynamics of the collective mode and individual particles on a ring is studied as the simplest model of projective quantum measurement. In this model, the collective mode measures an individual single quantum system. The heart of the…

量子物理 · 物理学 2015-06-19 Masahiro Morikawa , Akika Nakamichi

Quantum entanglement is affected by unitary evolution, which spreads the entanglement through the whole system, and also by measurements, which usually tends to disentangle subsystems from the rest. Their competition has been known to…

量子物理 · 物理学 2025-06-24 Haifeng Tang , Hong-Yi Wang , Zhong Wang , Xiao-Liang Qi

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

We provide a unique and novel extension of da Costa's calculation of a quantum mechanically constrained particle. This is achieved by analyzing the perturbative back reaction of the quantum confined particle's eigenstates and spectra upon…

高能物理 - 理论 · 物理学 2025-04-16 Shanshan Rodriguez , Leo Rodriguez , Zhenzhong Xing , Connor McMillin , L. R. Ram-Mohan

A dynamical model for the collapse of the wave function in a quantum measurement process is proposed by considering the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus interacting with an environment in a…

量子物理 · 物理学 2007-05-23 A. Venugopalan , Deepak Kumar , R. Ghosh

We show that the quadratic short time behaviour of transition probability is a natural consequence of the inner product of the Hilbert space of the quantum system. We prove that Schr\"odinger time evolution between two successive…

量子物理 · 物理学 2009-10-31 A. K. Pati , S. V. Lawande

We study quantum decoherence numerically in a system consisting of a relativistic quantum field theory coupled to a measuring device that is itself coupled to an environment. The measuring device and environment are treated as quantum,…

量子物理 · 物理学 2020-10-13 Chris Nagele , Oliver Janssen , Matthew Kleban

The impossibility of describing measurement in quantum mechanics while using a quantum mechanical model for the measurement machine, remains one of its central problems. Objective collapse theories attempt to resolve this problem by…

量子物理 · 物理学 2023-05-17 Lotte Mertens , Matthijs Wesseling , Jasper van Wezel

This paper systematically treats the evolving quantum state for two-dimensional black holes, with particular focus on the CGHS model, but also elucidating features generalizing to higher dimensions. This is done in Schr\"odinger picture(s),…

高能物理 - 理论 · 物理学 2021-12-22 Steven B. Giddings

In quantum mechanics, the time evolution of particles is given by the Schr\"odinger equation. It is valid in a nonrelativistic regime where the interactions with the particle can be modelled by a potential and quantised fields are not…

量子物理 · 物理学 2026-03-24 Martin Plávala , Stefan Nimmrichter , Matthias Kleinmann

Consecutive quantum measurements performed on the same system can reveal fundamental insights into quantum theory's causal structure, and probe different aspects of the quantum measurement problem. According to the Copenhagen…

量子物理 · 物理学 2016-02-03 Jennifer R. Glick , Christoph Adami

It is proposed a possible new approach of quantum measurements (QMS), disconnected of the traditional interpretation of uncertainty relations and independent of any appeal to the strange idea of collapse (reduction) of wave functions. The…

量子物理 · 物理学 2007-05-23 S. Dumitru