scholarly journals Measurement in the de Broglie-Bohm Interpretation: Double-Slit, Stern-Gerlach, and EPR-B

2014 ◽  
Vol 2014 ◽  
pp. 1-16 ◽  
Author(s):  
Michel Gondran ◽  
Alexandre Gondran
Keyword(s):  
Wave Function ◽  
Quantum Measurement ◽  
Quantum Particle ◽  
Classical Mechanics ◽  
Einstein Podolsky Rosen ◽  
Bohm Interpretation ◽  
Double Slit Experiment ◽  
Pauli Spinor ◽  
Double Slit ◽  
De Broglie Bohm

We propose a pedagogical presentation of measurement in the de Broglie-Bohm interpretation. In this heterodox interpretation, the position of a quantum particle exists and is piloted by the phase of the wave function. We show how this position explains determinism and realism in the three most important experiments of quantum measurement: double-slit, Stern-Gerlach, and EPR-B. First, we demonstrate the conditions in which the de Broglie-Bohm interpretation can be assumed to be valid through continuity with classical mechanics. Second, we present a numerical simulation of the double-slit experiment performed by Jönsson in 1961 with electrons. It demonstrates the continuity between classical mechanics and quantum mechanics. Third, we present an analytic expression of the wave function in the Stern-Gerlach experiment. This explicit solution requires the calculation of a Pauli spinor with a spatial extension. This solution enables us to demonstrate the decoherence of the wave function and the three postulates of quantum measurement. Finally, we study the Bohm version of the Einstein-Podolsky-Rosen experiment. Its theoretical resolution in space and time shows that a causal interpretation exists where each atom has a position and a spin.

scholarly journals ENTANGLEMENT QUANTISTICO

2020 ◽  
Author(s):  
Alberto Rimini
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Quantum Measurement ◽  
First Principles ◽  
Measurement Problem ◽  
Entangled State ◽  
Uncertainty Relations ◽  
Entanglement State ◽  
State Uncertainty ◽  
Einstein Podolsky Rosen

This extended note deals with a pedagogical description of the entangled state of two particles, starting from first principles. After some general remarks about quantum mechanics and physical theories, the single particle case is discussed by defining state, uncertainty relations and wave function in the state space. The system of two particles is then considered, with its possible states, starting from the original papers by Einstein Podolsky Rosen and by Schroedinger. The quantum measurement problem is then introduced, together with its role in the entanglement state. Finally the orthodox solution and the relevant conclusions are drawn.

scholarly journals Low Intensity Electrical Observer Effect

2021 ◽  
Keyword(s):  
Wave Function ◽  
Detection Methods ◽  
Dual Nature ◽  
Low Intensity ◽  
Quantum Particles ◽  
Current Detection ◽  
High Intensity Light ◽  
Double Slit Experiment ◽  
Slit Experiment ◽  
Double Slit

The study of the dual nature of the electron is proposed, with alterations in initial double-slit experiment. We are aware of mysterious nature of the quantum particles, particularly electrons. The particle behaves as wave, but upon observation, the wave-function of the electron is collapsed. No longer is an interference pattern observed, which in a sense, limits us and binds us to what we can measure and what we cannot, with current detection methods. In the double slit experiment, a source of high-intensity light is used to measure the position of the electrons, which leads to the collapse of the wave-function. An investigation is proposed to observe the effects of the low-intensity electric field on the duality of electron.

The Theory of Elementary Waves (TEW) eliminates Wave Particle Duality

2015 ◽  
Vol 7 (3) ◽  
pp. 1916-1922
Author(s):  
Jeffrey H Boyd
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Zero Energy ◽  
Wave Function Collapse ◽  
Wave Particle Duality ◽  
Solid Foundation ◽  
Elementary Waves ◽  
Double Slit Experiment ◽  
Slit Experiment ◽  
Double Slit

Wave particle duality is a mistake. Another option was neither conceived nor debated, which is a better foundation for quantum mechanics. The Theory of Elementary Waves (TEW) is based on the idea that particles follow zero energy waves backwards. A particle cannot be identical with its wave if they travel in opposite directions. TEW is the only form of local realism that is consistent with the results of the experiment by Aspect, Dalibard and Roger (1982). Here we show that 1. although QM teaches that complementarity in a double slit experiment cannot be logically explained, TEW explains it logically, without wave function collapse, and 2. gives an unconventional explanation of the Davisson Germer experiment. 3. There is empirical evidence for countervailing waves and particles and 4. zero energy waves. 5. TEW clarifies our understanding of probability amplitudes and supports quantum math. 6. There is an untested experiment for which TEW and wave particle duality predict different outcomes. If TEW is valid, then wave particle duality is not necessary for quantum math, which is the most accurate and productive science ever. With a more solid foundation, new vistas of science open, such as the study of elementary waves.

scholarly journals DE BROGLIE–BOHM INTERPRETATION FOR WAVE FUNCTION OF REISSNER–NORDSTRÖM–DE SITTER BLACK HOLE

2000 ◽  
Vol 15 (14) ◽  
pp. 2059-2075 ◽  
Author(s):  
MASAKATSU KENMOKU ◽  
HIROTO KUBOTANI ◽  
EIICHI TAKASUGI ◽  
YUKI YAMAZAKI
Keyword(s):  
Black Hole ◽  
Wave Function ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Semiclassical Gravity ◽  
Symmetric Geometry ◽  
Bohm Interpretation ◽  
Canonical Quantum ◽  
Ordinary Quantum ◽  
De Broglie Bohm

We study the canonical quantum theory of the spherically symmetric geometry with the cosmological constant and the electromagnetic field. We obtain a solution of the Wheeler–DeWitt equation for the geometrical variables and investigate the wave function from a viewpoint of the de Broglie–Bohm interpretation of the ordinary quantum mechanics. The de Broglie–Bohm interpretation introduces deterministic rigid trajectories on the minisuperspace without any outside observers nor the collapse of the wave function. It is shown that the wave function does not only correspond to the classical Reissner–Nordström–de Sitter black hole in the semiclassical region, but it also represents quantum geometrical fluctuations near the black hole horizon and the cosmological one. The result suggests that the semiclassical gravity on which the Hawking radiation is based is broken near the horizons.

scholarly journals Quantum and Classical Cosmology in the Brans–Dicke Theory

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 286
Author(s):  
Carla R. Almeida ◽  
Olesya Galkina ◽  
Julio César Fabris
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Classical Model ◽  
Bohmian Mechanics ◽  
Finite Energy ◽  
Energy Conditions ◽  
Interpretation Of Quantum Mechanics ◽  
Expectation Values ◽  
Bohm Interpretation ◽  
De Broglie Bohm

In this paper, we discuss classical and quantum aspects of cosmological models in the Brans–Dicke theory. First, we review cosmological bounce solutions in the Brans–Dicke theory that obeys energy conditions (without ghost) for a universe filled with radiative fluid. Then, we quantize this classical model in a canonical way, establishing the corresponding Wheeler–DeWitt equation in the minisuperspace, and analyze the quantum solutions. When the energy conditions are violated, corresponding to the case ω<−32, the energy is bounded from below and singularity-free solutions are found. However, in the case ω>−32, we cannot compute the evolution of the scale factor by evaluating the expectation values because the wave function is not finite (energy spectrum is not bounded from below). However, we can analyze this case using Bohmian mechanics and the de Broglie–Bohm interpretation of quantum mechanics. Using this approach, the classical and quantum results can be compared for any value of ω.

scholarly journals Fluctuating paths of least time, Schrödinger equation, van der Waals torque and Casimir effect mechanism

2021 ◽  
Vol 18 (11) ◽  
pp. 2150182
Author(s):  
Fayçal Ben Adda
Keyword(s):  
Wave Function ◽  
Casimir Effect ◽  
Van Der Waals ◽  
Geometrical Optic ◽  
Effect Mechanism ◽  
New Interpretation ◽  
Casimir Attraction ◽  
Double Slit Experiment ◽  
Slit Experiment ◽  
Double Slit

The use of an infinity of fluctuating paths of least time that are compatible with the quantum mechanics indeterminacy provides a new interpretation in geometrical optic of the interference pattern of Young’s double slit experiment, which suggests that the wave behavior of matter and radiation is dictated by the space-time geodesics. Moreover, the association of a wave function to each path of least time as a probability amplitude together with an uncertainty for momentum and position allows to derive the Schrödinger’s equation starting from the geodesic’s characteristics. A new insight is obtained regarding the van der Waals torque as well as Casimir attraction/repulsion mechanism.

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