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A model is discussed where all operators are constructed from a quantum scalar field whose energy spectrum takes on all real values. The Schr\"odinger picture wave function depends upon space and time coordinates for each particle, as well…

Quantum Physics · Physics 2015-06-11 Philip Pearle

Continuous Spontaneous Localization (CSL) model of Quantum Mechanics modifies Schr\"{o}dinger equation by adding non-linear stochastic terms due to which the total energy of a system increases with a constant rate which is proportional to…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-04 Suratna Das , Kinjalk Lochan , Angelo Bassi

It is emphasized that the collapse postulate of standard quantum theory can violate conservation of energy-momentum and there is no indication from where the energy-momentum comes or to where it goes. Likewise, in the Continuous Spontaneous…

Quantum Physics · Physics 2022-10-12 Philip Pearle

The CSL dynamical collapse structure, adapted to the relativistically invariant model where the collapse-generating operator is a one-dimensional scalar field $\hat\phi(x,t)$ (mass $m$) is discussed. A complete solution for the density…

Quantum Physics · Physics 2019-06-28 Daniel Bedingham , Philip Pearle

The continuous spontaneous localization (CSL) theory of dynamical wave function collapse is an experimentally testable alternative to non-relativistic quantum mechanics. In it, collapse occurs because particles interact with a classical…

Quantum Physics · Physics 2009-11-13 Philip Pearle

Collapse models describe phenomenologically the quantum-to-classical transition by adding suitable nonlinear and stochastic terms to the Schroedinger equation, thus (slightly) modifying the dynamics of quantum systems. Experimental bounds…

Quantum Physics · Physics 2019-05-14 Stephen L. Adler , Angelo Bassi , Matteo Carlesso , Andrea Vinante

Promotion of quantum theory from a theory of measurement to a theory of reality requires an unambiguous specification of the ensemble of realizable states (and each state's probability of realization). Although not yet achieved within the…

Quantum Physics · Physics 2009-11-11 Philip Pearle

A relativistic collapse model for distinguishable particles is presented. Position and time, for each particle, are the fundamental operators of the theory. The Schr\"odinger equation is of the CSL form, with a Hermitian Hamiltonian and an…

Quantum Physics · Physics 2025-06-10 Daniel J. Bedingham , Philip Pearle

Collapse models explain the absence of quantum superpositions at the macroscopic scale, while giving practically the same predictions as quantum mechanics for microscopic systems. The Continuous Spontaneous Localization (CSL) model is the…

Quantum Physics · Physics 2015-08-10 Andrea Smirne , Angelo Bassi

Is wave function collapse a prediction of the Schr\"odinger equation? This unusual problem is explored in an enlarged framework of interpretation, where quantum dynamics is considered exact and its interpretation is extended to include…

Quantum Physics · Physics 2016-11-22 Roland Omnès

It is shown that, in the non-relativistic limit, causal fermion systems give rise to an effective collapse theory. The nonlinear and stochastic correction terms to the Schr\"odinger equation are derived from the causal action principle. The…

Mathematical Physics · Physics 2024-09-12 Felix Finster , Johannes Kleiner , Claudio F. Paganini

We make use of the powerful formalism of quantum parameter estimation to assess the characteristic rates of a Continuous Spontaneous Localisation (CSL) model affecting the motion of a massive mechanical system. We show that a study…

Quantum Physics · Physics 2023-03-29 Marta Maria Marchese , Alessio Belenchia , Mauro Paternostro

Wavefunction collapse models modify Schr\"odinger's equation so that it describes the collapse of a superposition of macroscopically distinguishable states as a dynamical process. This provides a basis for the resolution of the quantum…

Quantum Physics · Physics 2014-11-26 Daniel Bedingham , Hendrik Ulbricht

Spontaneous collapse models are modifications of standard quantum mechanics in which a physical mechanism is responsible for the collapse of the wavefunction, thus providing a way to solve the so-called "measurement problem". The two most…

Quantum Physics · Physics 2023-12-07 Nicolò Piccione

Models of spontaneous wave function collapse describe the quantum-to-classical transition by assuming a progressive breakdown of the superposition principle when the mass of the system increases, providing a well-defined phenomenology in…

Quantum Physics · Physics 2018-09-20 Matteo Carlesso , Luca Ferialdi , Angelo Bassi

The basic strategy underlying models of spontaneous wave function collapse (collapse models) is to modify the Schroedinger equation by including nonlinear stochastic terms, which tend to localize wave functions in space in a dynamical…

Quantum Physics · Physics 2015-06-18 A. Bassi , H. Ulbricht

Different attempts to solve the measurement problem of the quantum mechanics (QM) by denying the collapse principle, and replacing it with changes in the quantum formalism, failed because the changes in the formalism lead to contradictions…

Quantum Physics · Physics 2020-11-09 Sofia D. Wechsler

Energy diffusion due to spontaneous localization (SL) for a relativistically-fast moving particle is examined. SL is an alternative to standard quantum theory in which quantum state reduction is treated as a random physical process which is…

Quantum Physics · Physics 2013-09-04 Daniel Bedingham

An introduction to the CSL (Continuous Spontaneous Localization) theory of dynamical wave function collapse is provided, including a derivation of CSL from two postulates. There follows applications to a free particle, or to a `small' rigid…

Quantum Physics · Physics 2012-10-02 Philip Pearle

We show how the ro-translational motion of anisotropic particles is affected by the model of Continuous Spontaneous Localization (CSL), the most prominent hypothetical modification of the Schr\"odinger equation restoring realism on the…

Quantum Physics · Physics 2017-05-29 Björn Schrinski , Benjamin A. Stickler , Klaus Hornberger
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