Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1006.3227

On the derivation of wave function reduction from Schrödinger's equation: A model

Roland L. Omnes

Published Jun 16, 2010• 2 citations
arXivHTMLPDF

Abstract

The possibility of consistency between the basic quantum principles and reduction (wave function reduction) is reexamined. The mathematical description of an organized macroscopic device is constructed explicitly as a convenient tool for this investigation. A derivation of reduction from quantum mechanics is proposed on a specific example, using standard methods of statistical physics. Although these methods are valid only "for all practical purposes", arguments are given to ascribe an emerging status to reduction (or the uniqueness of physical reality), similar to the status of classical physics. Examination of measurements of the particles in an EPR pair by two space-like separated apparatuses shows that the model is consistent with the non-separable character of quantum mechanics, although both measurements are local. Quantitative estimates are given.

DOI
10.48550/arxiv.1006.3227

Related papers

On the derivation of reduction from the Schrodinger equation. A disproof of no-go theorems and a proposal

Roland L. Omnes

The possibility of a fundamental consistency between the basic quantum principles and reduction (so-called wave function reduction) is reexamined. The mathematical description of an organized macroscopic device is constructed explicitly as a convenient tool for this investigation. Previous no-go theorems excluding consistency are disproved on this ground, because their assumptions neglected the occurrence of organization in a real measuring apparatus. A scheme for deriving reduction from quantum mechanics is also proposed as a conjecture.

arXiv:0911.0598•Nov 3, 2009•2 citations

One Approach on Derivation of the Schrodinger Equation of Free Particle

Shinichi INAGE

The Schrodinger equation based on the de Broglie wave is the most fundamental equation of the quantum mechanics. There can be no doubt about it's prediction validity. However, the probabilistic interpretation on the quantum mechanics has insoluble semantic interpretations like reduction of wave packet on observations of physical values. Especially, it is not clear that the wave function which is described by complex function, is whether formality or reality to express the state of particle motion. On this paper, we interpret the wave nature of particle as not the inherency of particle itself, but the motional property of particle in fluctuated space-time due to the kinetic energy and momentum the belief that the kinetic energy and momentum fluctuates the microscopic space-time, and the particle move through the fluctuated space-time adversely. Then, through the particle motion in the Euclidean space-time, the particle will be recognized as if it has the wave nature. We estimate the governing equation of fluctuations of microscopic space-time based on the macroscopic law of motion. On this paper, the equivalence between the governing equation and the Schrodinger equation is indicated.

arXiv:physics/0610097•Oct 13, 2006•1 citation

A realistic model for completing Quantum Mechanics

M. Baldo

In the well known Copenhagen interpretation of Quantum mechanics, advocated by N. Bohr, the physical objects and the experimental results can be described only in a macroscopic language, leaving any possible microscopic description as unspeakable. This point of view has been deepened by C. Rovelli in the relational interpretation of Quantum mechanics. Most of the alternative interpretations, which try a detailed microscopic description of physical phenomena and of their evolution, have in common the explicit introduction of the wave function as the basic element of the theory. These interpretations require the notion of quantum state as the fundamental concept of the theory, which is the typical unspeakable physical element according to the Copenhagen interpretation. The two basic physical entities are intimately bound together by the integrity of the wave function. These interpretations are usually indicated as realistic. It is well known that the use of the wave function and its time evolution in the description of the physical processes leads unavoidably to some difficulties or so-called paradoxes. The measurement problem is at the center of these difficulties, mainly because it requires the introduction of the reduction process of the wave function, which is not included explicitly within the mathematical formalism of Quantum Mechanics. In this paper we build up and propose a model which goes beyond the standard formalism and which is able to solve the measurement problem and all the other difficulties which, in a way or in another, are related to it.

arXiv:2104.12701•Apr 26, 2021•1 citation

Microphysical reality and quantum formalism : proceedings of the Conference 'Microphysical Reality and Quantum Formalism', Urbino, Italy, September 25th - October 3rd, 1985

Microphysical Reality, Quantum Formalism, Alwyn van der Merwe +2 more

Quantum Measurements.- Quantum mechanics of macroscopic systems and measurement processes.- The haunted measurement in quantum theory.- A quantum-statistical model of quantum measurement.- Potential and real states in quantum mechanics.- Wave function collapse in the ensemble interpretation.- Nonlinear models for quantum-mechanical measurements.- Meaning and measurability of nonlocal quantum states.- New Developments of Quantum Theory.- The mathematical expression of the uncertainty principle.- Quantization of Hamiltonian theories based on a probability operator.- Classical to quantum: A generalized phase transition.- Quantum description of microscopic and microscopic systems: Old problems and recent investigations.- Towards a process formalism in quantum physics.- A generalized Schroedinger formalism from a Hamiltonian flow in a higher dimensional space.- How the nonlinear phenomena impose the reinterpretation of quantum mechanics.- On the equivalence between the superposition principle and a global gauge invariance.- Meanings of Quantum Theory.- The 2-photon elementary quantum phenomenon and spacetime structure.- Causality as indentified with conditional probability and the quantal nonseparability.- Realism versus positivism: An attempt at reconcilement in the Einstein-Bohr debate.- Four-dimensional realism and waves carrying physical data codedly as keys to understandable models.- Testing interpretations of quantum mechanics.- On the relation between the recent new statistical prediction of quantum mechanics by Albert, Aharonov, and D'Amato, the EPR reasoning, and Bell's Inequality.- Beyond quantum theory: A realist psycho-biological interpretation of physical reality.- Locality, causality, quantum events, and all that.- The Einstein-Bohr debate: I. The background.- Contingency and lawfulness: Conditions for encounter.- Epr Paradox: Critical Examinations.- Towards a realist theory of measurement.- The tacit postulate on single events and the comparison of classical and quantum spin correlation experiments.- Weak realism for pairs of correlated systems.- Comments on EPR, locality and reality.- The EPR and the proposal of action at a distance.- The discription of separated systems and quantum mechanics and a possible explanation for the probabilities of quantum mehanics.- Against dualism: An observation concerning non-locality.- Bell's theorem: A note on locality.- EPR paradox considered as a criticism of the statevector reduction in the quantum mechanical description of correlated separated systems.- EPR and the strange nature of the quantum state or why I can live with EPR.- Why the EPR paradox has been resolved in favor of Einstein.- Probability and the way out of the great quantum muddle.- Where lies the mistake in the clauser and Home proof of Bell's theorem?.

Kluwer Academic Publishers eBooks•Jan 1, 1988•3 citations

Theory of Measurement in Quantum Mechanics

Saburo Amai

The question as to whether quantum mechanics can be applied to a macroscopic system, which has recently been raised through discussions of the problem of how to interpret the so-called “reduction of a wave packet”, is discussed. It is shown by a detailed analysis of the destruction of interference which brings about the reduction, that a supplementary assumption on the preciseness of measurements must at least be introduced in order to interpret the reduction process as an objective process, and it does not, however, necessarily imply inapplicability of quantum mechanics to a macroscopic system.

Progress of Theoretical Physics•Oct 1, 1963•4 citations

On the principles of quantum mechanics and the reduction of the wave packet

Roger Balian

The principles of quantum mechanics are reviewed in a form where the concept of state appears both more transparent and more general than in current textbooks. The so-called reduction of the wave packet is then derived from some of these principles (such as the compatibility of commuting observables and the fact that a variance cannot be negative), instead of being posed as a separate postulate.

American Journal of Physics•Nov 1, 1989•22 citations
The possibility of consistency between the basic quantum principles and reduction (wave function reduction) is reexamined. The mathematical description of an organized macroscopic device is constructed explicitly as a convenient tool for this investigation. A derivation of reduction from quantum mechanics is proposed on a specific example, using standard methods of statistical physics. Although these methods are valid only "for all practical purposes", arguments are given to ascribe an emerging status to reduction (or the uniqueness of physical reality), similar to the status of classical physics. Examination of measurements of the particles in an EPR pair by two space-like separated apparatuses shows that the model is consistent with the non-separable character of quantum mechanics, although both measurements are local. Quantitative estimates are given.
The possibility of a fundamental consistency between the basic quantum principles and reduction (so-called wave function reduction) is reexamined. The mathematical description of an organized macroscopic device is constructed explicitly as a convenient tool for this investigation. Previous no-go theorems excluding consistency are disproved on this ground, because their assumptions neglected the occurrence of organization in a real measuring apparatus. A scheme for deriving reduction from quantum mechanics is also proposed as a conjecture.
The Schrodinger equation based on the de Broglie wave is the most fundamental equation of the quantum mechanics. There can be no doubt about it's prediction validity. However, the probabilistic interpretation on the quantum mechanics has insoluble semantic interpretations like reduction of wave packet on observations of physical values. Especially, it is not clear that the wave function which is described by complex function, is whether formality or reality to express the state of particle motion. On this paper, we interpret the wave nature of particle as not the inherency of particle itself, but the motional property of particle in fluctuated space-time due to the kinetic energy and momentum the belief that the kinetic energy and momentum fluctuates the microscopic space-time, and the particle move through the fluctuated space-time adversely. Then, through the particle motion in the Euclidean space-time, the particle will be recognized as if it has the wave nature. We estimate the governing equation of fluctuations of microscopic space-time based on the macroscopic law of motion. On this paper, the equivalence between the governing equation and the Schrodinger equation is indicated.
In the well known Copenhagen interpretation of Quantum mechanics, advocated by N. Bohr, the physical objects and the experimental results can be described only in a macroscopic language, leaving any possible microscopic description as unspeakable. This point of view has been deepened by C. Rovelli in the relational interpretation of Quantum mechanics. Most of the alternative interpretations, which try a detailed microscopic description of physical phenomena and of their evolution, have in common the explicit introduction of the wave function as the basic element of the theory. These interpretations require the notion of quantum state as the fundamental concept of the theory, which is the typical unspeakable physical element according to the Copenhagen interpretation. The two basic physical entities are intimately bound together by the integrity of the wave function. These interpretations are usually indicated as realistic. It is well known that the use of the wave function and its time evolution in the description of the physical processes leads unavoidably to some difficulties or so-called paradoxes. The measurement problem is at the center of these difficulties, mainly because it requires the introduction of the reduction process of the wave function, which is not included explicitly within the mathematical formalism of Quantum Mechanics. In this paper we build up and propose a model which goes beyond the standard formalism and which is able to solve the measurement problem and all the other difficulties which, in a way or in another, are related to it.
Quantum Measurements.- Quantum mechanics of macroscopic systems and measurement processes.- The haunted measurement in quantum theory.- A quantum-statistical model of quantum measurement.- Potential and real states in quantum mechanics.- Wave function collapse in the ensemble interpretation.- Nonlinear models for quantum-mechanical measurements.- Meaning and measurability of nonlocal quantum states.- New Developments of Quantum Theory.- The mathematical expression of the uncertainty principle.- Quantization of Hamiltonian theories based on a probability operator.- Classical to quantum: A generalized phase transition.- Quantum description of microscopic and microscopic systems: Old problems and recent investigations.- Towards a process formalism in quantum physics.- A generalized Schroedinger formalism from a Hamiltonian flow in a higher dimensional space.- How the nonlinear phenomena impose the reinterpretation of quantum mechanics.- On the equivalence between the superposition principle and a global gauge invariance.- Meanings of Quantum Theory.- The 2-photon elementary quantum phenomenon and spacetime structure.- Causality as indentified with conditional probability and the quantal nonseparability.- Realism versus positivism: An attempt at reconcilement in the Einstein-Bohr debate.- Four-dimensional realism and waves carrying physical data codedly as keys to understandable models.- Testing interpretations of quantum mechanics.- On the relation between the recent new statistical prediction of quantum mechanics by Albert, Aharonov, and D'Amato, the EPR reasoning, and Bell's Inequality.- Beyond quantum theory: A realist psycho-biological interpretation of physical reality.- Locality, causality, quantum events, and all that.- The Einstein-Bohr debate: I. The background.- Contingency and lawfulness: Conditions for encounter.- Epr Paradox: Critical Examinations.- Towards a realist theory of measurement.- The tacit postulate on single events and the comparison of classical and quantum spin correlation experiments.- Weak realism for pairs of correlated systems.- Comments on EPR, locality and reality.- The EPR and the proposal of action at a distance.- The discription of separated systems and quantum mechanics and a possible explanation for the probabilities of quantum mehanics.- Against dualism: An observation concerning non-locality.- Bell's theorem: A note on locality.- EPR paradox considered as a criticism of the statevector reduction in the quantum mechanical description of correlated separated systems.- EPR and the strange nature of the quantum state or why I can live with EPR.- Why the EPR paradox has been resolved in favor of Einstein.- Probability and the way out of the great quantum muddle.- Where lies the mistake in the clauser and Home proof of Bell's theorem?.
The question as to whether quantum mechanics can be applied to a macroscopic system, which has recently been raised through discussions of the problem of how to interpret the so-called “reduction of a wave packet”, is discussed. It is shown by a detailed analysis of the destruction of interference which brings about the reduction, that a supplementary assumption on the preciseness of measurements must at least be introduced in order to interpret the reduction process as an objective process, and it does not, however, necessarily imply inapplicability of quantum mechanics to a macroscopic system.