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In 1989, Deutsch gave a basic physical explanation of why quantum-mechanical probabilities are squares of amplitudes. Essentially, a general state vector is transformed into a highly symmetric equal-amplitude superposition. The argument was…

Quantum Physics · Physics 2007-05-23 L. Polley

The past few decades have seen dramatic progress in our ability to manipulate and coherently control matter-waves. Although the duality between particles and waves has been well tested since de Broglie introduced the matter-wave analog of…

Atomic Physics · Physics 2016-05-04 B. Barrett , A. Bertoldi , P. Bouyer

Some recent experiments claim to show that any model in which a quantum state represents mere information about an underlying physical reality of the system must make predictions which contradict those of quantum theory. The present work…

Quantum Physics · Physics 2026-02-04 Moncy Vilavinal John

As we mark the centenary of Albert Einstein's seminal contribution to both quantum mechanics and special relativity, we approach another anniversary--that of Einstein's foundation of the quantum theory of solids. But 100 years on, the same…

Strongly Correlated Electrons · Physics 2007-05-23 P. Coleman , A. J. Schofield

This note shows how one can be led from considerations of quantum steering to Bell's theorem. The point is that steering remote systems by choosing between two measurements can be described in a local theory if we take quantum states to be…

Quantum Physics · Physics 2012-06-04 Terry Rudolph

In 1924, Einstein received a short manuscript in the mail from the Indian physicist S.N. Bose. He quickly translated Bose's manuscript to German and submitted it to Zeitschrift f\"ur Physik. Within a few weeks, Einstein presented his own…

History and Philosophy of Physics · Physics 2025-04-08 Masud Mansuripur

The Eherenfest theorem states that Schrodinger representation of quantum mechanics (wave mechanics) reproduces Newton laws of motion in terms of expectation values. Remarkably, the contrary is considered elusive and, indeed, many authors…

Quantum Physics · Physics 2017-05-31 Michele Marrocco

Using the observed time and spatial intervals defined originally by Einstein and the observation frame in the vierbein formalism, we propose that in curved spacetime, for a wave received in laboratories, the observed frequency is the…

High Energy Physics - Theory · Physics 2009-10-31 Sze-Shiang Feng

The discovery of Berry and Balazs in 1979 that the free-particle Schr\"odinger equation allows a non-dispersive and accelerating Airy-packet solution has taken the folklore of quantum mechanics by surprise. Over the years, this intriguing…

Quantum Physics · Physics 2015-06-19 Antonio B. Nassar , Salvador Miret-Artés

The biggest and most lasting among David Bohm's (1917-1992) many achievements is to have proposed a picture of reality that explains the empirical rules of quantum mechanics. This picture, known as pilot wave theory or Bohmian mechanics…

Quantum Physics · Physics 2018-06-15 Roderich Tumulka

The famous scientist Hermann von Helmholtz was born 200 years ago. Many complex physical wave phenomena in engineering can effectively be described using one or a set of equations named after him: the Helmholtz equation. Although this has…

Numerical Analysis · Mathematics 2022-06-17 Evert Klaseboer , Qiang Sun

Although practised as an art and science for ages, cryptography had to wait until the mid-twentieth century before Claude Shannon gave it a strong mathematical foundation. However, Shannon's approach was rooted is his own information…

Quantum Physics · Physics 2020-03-31 Gilles Brassard

Compression wave analysis started nearly 50 years ago with Fowles.[1] Coperthwaite and Williams [2] gave a method that helps identify simple and steady waves. We have been developing a method that gives describes the non-isentropic…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Daniel Orlikowski , Roger Minich

A new formulation of quantum mechanics based on differential commutator brackets is developed. We have found a wave equation representing the fermionic particle. In this formalism, the continuity equation mixes the Klein-Gordon and…

General Physics · Physics 2012-03-21 Arbab I. Arbab , Faisal A. Yassein

A consistent classical and quantum relativistic mechanics can be constructed if Einstein's covariant time is considered as a dynamical variable. The evolution of a system is then parametrized by a universal invariant identified with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lawrence P. Horwitz

The Schrodinger equation has been considered to be a postulate of quantum physics, but it is also perceived and derived heuristically as the quantum equivalent of the classical energy relation. We indicate that the Schrodinger equation…

Quantum Physics · Physics 2013-07-24 Spyros Efthimiades

We demonstrate the extraordinary modernity of the 1924/25 "Einstein-Jordan fluctuation conundrum", a Gedankenexperiment which led Jordan to his quantization of waves published as a separate section in the famous Born-Heisenberg-Jordan 1926…

History and Philosophy of Physics · Physics 2015-05-20 Bert Schroer

The quantum measurement problem as was formulated by von Neumann in 1933 can be solved by going beyond the operational quantum formalism. In our "prequantum model" quantum systems are symbolic representations of classical random fields. The…

Quantum Physics · Physics 2015-06-12 Andrei Khrennikov

About a century ago, cosmic rays were identified as being a source of radiation on Earth. The proof came from two independent experiments. The Italian physicist Domenico Pacini observed the radiation strength to decrease when going from the…

History and Philosophy of Physics · Physics 2021-03-03 Alessandro De Angelis , Nicola Giglietto , Sebastiano Stramaglia

Consider a non-relativistic quantum particle with wave function inside a region $\Omega\subset \mathbb{R}^3$, and suppose that detectors are placed along the boundary $\partial \Omega$. The question how to compute the probability…

Mathematical Physics · Physics 2025-09-09 Lawrence Frolov , Stefan Teufel , Roderich Tumulka