The Tyranny in Science: The Case of Hugh Everett’s Universal Wave Theory Formulation of Quantum Mechanics

2018 ◽  
pp. 225-239
Author(s):  
Sheldon Richmond
Keyword(s):  
Quantum Mechanics ◽  
Wave Theory ◽  
Theory Formulation

scholarly journals Mathematical analogies in physics. Thin-layer wave theory

2014 ◽  
Vol 57 (1) ◽  
Author(s):  
José M. Carcione ◽  
Vivian Grünhut ◽  
Ana Osella
Keyword(s):  
Quantum Mechanics ◽  
Thin Layer ◽  
Quantum Physics ◽  
Constitutive Relations ◽  
Normal Incidence ◽  
Wave Theory ◽  
Transverse Magnetic ◽  
Momentum Conservation ◽  
Tunnel Effect ◽  
Basic Equations

<p>Field theory applies to elastodynamics, electromagnetism, quantum mechanics, gravitation and other similar fields of physics, where the basic equations describing the phenomenon are based on constitutive relations and balance equations. For instance, in elastodynamics, these are the stress-strain relations and the equations of momentum conservation (Euler-Newton law). In these cases, the same mathematical theory can be used, by establishing appropriate mathematical equivalences (or analogies) between material properties and field variables. For instance, the wave equation and the related mathematical developments can be used to describe anelastic and electromagnetic wave propagation, and are extensively used in quantum mechanics. In this work, we obtain the mathematical analogy for the reflection/refraction (transmission) problem of a thin layer embedded between dissimilar media, considering the presence of anisotropy and attenuation/viscosity in the viscoelastic case, conductivity in the electromagnetic case and a potential barrier in quantum physics (the tunnel effect). The analogy is mainly illustrated with geophysical examples of propagation of S (shear), P (compressional), TM (transverse-magnetic) and TE (transverse-electric) waves. The tunnel effect is obtained as a special case of viscoelastic waves at normal incidence.</p>

scholarly journals Hamiltonian formulation of the pilot-wave theory

2019 ◽  
Vol 97 (4) ◽  
pp. 431-435
Author(s):  
Dan N. Vollick
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Scalar Field ◽  
Relativistic Particle ◽  
Hamiltonian Formulation ◽  
Wave Theory ◽  
Schrödinger’S Equation ◽  
Pilot Wave ◽  
Schrödinger's Equation ◽  
Pilot Wave Theory

In the pilot-wave theory of quantum mechanics particles have definite positions and velocities and the system evolves deterministically. The velocity of a particle is determined by the wave function of the system (the guidance equation) and the wave function evolves according to Schrödinger’s equation. In this paper I first construct a Hamiltonian that gives Schrödinger’s equation and the guidance equation for the particle. I then find the Hamiltonian for a relativistic particle in Dirac’s theory and for a quantum scalar field.

scholarly journals The Many-Object "Pilot Wave" Theory

2011 ◽  
Vol 9 ◽  
pp. 69-77
Author(s):  
Yoav Ben-Dov
Keyword(s):  
Quantum Mechanics ◽  
Wave Theory ◽  
Object A ◽  
Pilot Wave ◽  
Supplementary Variables ◽  
The Many ◽  
Pilot Wave Theory

The "pilot wave." supplementary variables version of quantum mechanics diacusaed. It is claimed that in the many-object a semi-class picture of particles "guided" in their motion by waves m 3-spaces is difficult to maintain-Other interpretative schemes are suggested

scholarly journals The passage of positive ions through gases

1933 ◽  
Vol 142 (846) ◽  
pp. 142-172 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Charged Particles ◽  
Foundations Of Quantum Mechanics ◽  
Wave Theory ◽  
Point Of View ◽  
General Description ◽  
Theoretical Point ◽  
Positive Ions ◽  
The Subject ◽  
Ramsauer Effect

A large number of investigations have been carried out on the motion of charged particles through gases, and the subject has received added impetus from the introduction of quantum mechanics, as this theory is capable of dealing with collision phenomena in a manner that was beyond the reach of Bohr’s quantum theory. In the early days of the wave theory, many experiments were devised with a view to testing the validity of the theory; but now the foundations of quantum mechanics have been so firmly laid that we may use the theory to clarify the more complicated phenomena observed in the passage of charged particles through gases. Both from the experimental and theoretical point of view the most convenient particles to study are electrons; and, as a consequence, the phenomena observed in the collisions of electrons with gas molecules are well known and to a large extent understood. Well-marked diffraction phenomena have been observed and the relative probabilities of elastic and inelastic collisions measured for a number of gases. Although detailed theoretical explanations have not always been given, it is possible in nearly all cases to give a general description of the main processes contributing to the observed effects. For example, the Ramsauer effect is now completely explained.

Wave Theory

2020 ◽  
pp. 50-70
Author(s):  
M. Suhail Zubairy
Keyword(s):  
Quantum Mechanics ◽  
Superposition Principle ◽  
Wave Theory ◽  
Quantum Mechanical ◽  
Wave Particle Duality ◽  
Basic Characteristics ◽  
The Waves ◽  
Double Slit Experiment ◽  
Slit Experiment ◽  
Double Slit

One of the earliest and most important tenets of quantum mechanics is the wave-particle duality: light behaves sometimes like a wave and at other times as particle and similarly an electron can also behave both like a particle and as a wave. When the formal laws of quantum mechanics are formulated, the central quantity that describes the particles is the wave function. This points to the need for a good understanding of the properties of the waves. This chapter introduces the concepts and most essential applications that are required to follow the discussion of quantum mechanical laws and systems. The basic characteristics of the waves, such as the superposition principle are presented, and the interference and the diffraction phenomena are discussed. The Young’s double slit experiment in analysed and the formation of interference pattern is explicitly shown. The Rayleigh criterion for the microscopic resolution is also derived.

scholarly journals Double Slit to Cross Double Slit to Comprehensive Double Slit Experiments

2021 ◽  
Author(s):  
Hui Peng
Keyword(s):  
Quantum Mechanics ◽  
Wave Theory ◽  
Quantum Probability ◽  
Complementarity Principle ◽  
Wave Particle Duality ◽  
The Cross ◽  
Double Slit

Abstract Young’s double slit experiments, which represent the mystery of quantum mechanics, have been interpreted by quantum probability waves and de Broglie-Bohm’s trajectory/pilot waves. To study in detail, the double slit experiments are extended to the cross double slit experiments. We argue that an interpretation must be able to explain all of the double slit and cross double slit experiments consistently. To test the interpretations, the comprehensive double slit experiments have been performed, which challenge both the wave interpretation and the trajectory interpretation. The cross double slit experiments and comprehensive double slit experiments provide a new tool for studying the mystery of double slit, wave-particle duality, complementarity principle, wave theory and trajectory theory. In this article, we review the cross double slit experiments and comprehensive double slit experiments, and report new experiments.

Sign in / Sign up

Export Citation Format

Share Document