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About 10,000 papers for “Wave function”

Wave Function Realism

Ney, Alyssa · PhilPapers (PhilPapers Foundation)

This is an introduction to wave function realism for a compendium on the philosophy of quantum mechanics that will be edited and translated into Portuguese by Raoni Arroyo, entitled Compêndio de Filosofia da Física Quântica. This essay presents the history of wave function realism, its various interpretations, the main arguments that are given for the position, and the main objections that have been raised to it.

Cited by 0

Intermediate Wave Function Statistics

Gregory Berkolaiko, J. P. Keating, Brian Winn · Physical Review Letters · 2003

We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that these eigenfunctions are not quantum ergodic, and calculate the corresponding limit distribution. Second, we find that they can be strongly scarred, in the case of star graphs by short (unstable) periodic orbits and, in the case of Seba billiards, by certain families of orbits. We construct sequences of states which have such a limit. Our results are illustrated by numerical computations.

Cited by 32Open access

The wave function discord

Vilenkin, Alexander · arXiv (Cornell University) · 1998

Linde's proposal of a Euclidean path integral with the ``wrong'' sign of Euclidean action is often identified with the tunneling proposal for the wave function of the universe. However, the two proposals are in fact quite different. I illustrate the difference and point out that recent criticism by Hawking and Turok does not apply to the tunneling proposal.

Cited by 0Open access

Holographic tunneling wave function

Gabriele Conti, Thomas Hertog, Ellen van der Woerd · Journal of High Energy Physics · 2015

The Hartle-Hawking wave function in cosmology can be viewed as a decaying wave function with anti-de Sitter (AdS) boundary conditions. We show that the growing wave function in AdS familiar from Euclidean AdS/CFT is equivalent, semiclassically and up to surface terms, to the tunneling wave function in cosmology. The cosmological measure in the tunneling state is given by the partition function of certain relevant deformations of CFTs on a locally AdS boundary. We compute the partition function of finite constant mass deformations of the O(N ) vector model on the round three sphere and show this qualitatively reproduces the behaviour of the tunneling wave function in Einstein gravity coupled to a positive cosmological constant and a massive scalar. We find the amplitudes of inhomogeneities are not damped in the holographic tunneling state.

Cited by 7Open access

The Photon Wave Function

J. Cugnon · Open Journal of Microphysics · 2011

The properties of a wave equation for a six-component wave function of a photon are re-analyzed. It is shown that the wave equation presents all the properties required by quantum mechanics, except for the ones that are linked with the definition of the position operator. The situation is contrasted with the three-component formulation based on the Riemann-Silberstein wave function. The inconsistency of the latter with the principles of quantum mechanics is shown to arise from the usual interpretation of the wave function. Finally, the Lorentz invariance of the six-component wave equation is demonstrated explicitly for Lorentz boosts and space inversion.

Cited by 23Open access

Wave-function shock waves

Xiao Wang, W. E. Cooke · Physical Review A · 1992

When a Rydberg state is suddenly excited to an autoionizing Rydberg state by a short-pulse core-electron excitation, a shock wave is created in the Rydberg electron's wave function. This shock wave originates at small r, at the excited core, and propagates outward. This wave-function disturbance is best illustrated by the Rydberg wave function in momentum space, where the autoionization process can be seen as a filtering process that reduces the high-momentum, outgoing wave function.

Cited by 27

Wave Function and Information

Leonardo Chiatti · Preprints.org · 2024

Two distinct measures of information, connected respectively to the amplitude and phase of the wave function of a particle, are proposed. There are relations between the time derivatives of these two measures and their gradients on the configuration space, which are equivalent to the wave equation. The information related to the amplitude measures the strength of the potential coupling of the particle (which is itself aspatial) with each volume of its configuration space, i.e. its tendency to participate in an interaction localized in a region of ordinary physical space corresponding to that volume. The information connected to the phase is that required to obtain the time evolution of the particle as a persistent entity starting from a random succession of bits. It can be considered as the information provided by conservation principles. The meaning of the so-called "quantum potential" in this context is briefly discussed.

Cited by 0Open access

Atomic wave function forms

S. A. Alexander, R. L. Coldwell · International Journal of Quantum Chemistry · 1997

Using variational Monte Carlo, we compare the features of 118 trial wave function forms for selected ground and excited states of helium, lithium, and beryllium in order to determine which characteristics give the most rapid convergence toward the exact nonrelativistic energy. We find that fully antisymmetric functions are more accurate than are those which use determinants, that exponential functions are more accurate than are linear function, and that the Padé function is anomalously accurate for the two-electron atom. We also find that the asymptotic and nodal behavior of the atomic wave function is best described by a minimal set of functions. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 63: 1001–1022, 1997

Cited by 26

Non-Wave Function Theory

Matsumoto, Yugo (a.k.a. Naname) · Zenodo (CERN European Organization for Nuclear Research) · 2025

A structural reinterpretation of the wave function as a recursive re-organization of existence, observation, and time.Instead of probabilistic collapse, observation is defined as local structural confirmation.It dissolves the boundary between physics and ontology, modeling ψ⊗O as the unified dynamic of world formation. Related updates may be available at: patreon.com/NMStructuralTheoryLab

Cited by 0Open access