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Pursuing Ramsauer-townsend effect in quaternionic relativistic quantum mechanics
This article delves into the Ramsauer-Townsend effect regarding the realm of quaternionic relativistic quantum mechanics. The investigation centers...
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Position Operators of Non-relativistic Quantum Mechanics
The components of the position operator of a particle in non-relativistic quantum mechanics are the non-relativistic limits of generators of the pure...
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Relativistic and Non-Relativistic Quantum Mechanics Both at Once
Currently, relativistic quantum mechanics is considered an advanced topic only accessible to students who have already received considerable training...
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A Holographic Principle for Non-Relativistic Quantum Mechanics
The quantum-classical isomorphism for self-consistent field theory, which allows quantum particles in space-time to be represented as classical...
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Probing semiconductor quantum well qubits and associated Shannon entropy using semi-relativistic quantum mechanics
Electron states in GaAs , GaN and AlN quantum wells are studied by solving a semi-relativistic wave equation within the effective mass approximation....
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A Tentative Completion of Quantum Mechanics
We review a proposal of how to complete non-relativistic Quantum Mechanics to a physically meaningful, mathematically precise and logically coherent...
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Dual Relativistic Quantum Mechanics I
It was shown in Dirac (Proc. R. Soc. (Lond.) A117, 610; A118, 351, 1928) that the ultra-violet divergence in quantum electrodynamics (QED) is caused...
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Quantum Mechanics Computer Simulations
In this chapter, we introduce the quantum mechanics molecular models and quantum mechanics molecular dynamics simulations of molecules and...
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On the gravitization of quantum mechanics and wave function reduction in Bohmian quantum mechanics
In this paper, the gravity-induced wave function reduction is studied through the investigation of Einstein’s equivalence principle in the context of...
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A Non-relativistic Approach to Relativistic Quantum Mechanics: The Case of the Harmonic Oscillator
A recently proposed approach to relativistic quantum mechanics (Grave de Peralta, Poveda, Poirier in Eur J Phys 42:055404, 2021) is applied to the...
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Quantum Solutions in Relativistic Classical Mechanics
Quantum solutions of the classical equation of relativistic mechanics have been found. A synthesis of classical and quantum physics can become a...
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Relativistic Quantum Mechanics of Single Particles
Any realistic theory must be consistent with quantum mechanics. In this chapter, we consider how to formulate a theory of quantum mechanics that is...
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The Common Logic of Quantum Universe—Part I: The Case of Non-relativistic Quantum Mechanics
One of the most challenging and fascinating issue in mathematical and theoretical physics concerns the possibility of identifying the logic...
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Conformal quantum mechanics, holomorphic factorisation, and ultra-spinning black holes
We study a limit in which a relativistic CFT reduces to conformal quantum mechanics, and relate the partition functions of the two theories. When the...
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The Quantum Origin of the So-Called “Relativistic Relations”
The foundation of modern physics is built on quantum mechanicsQuantum mechanics and the special theory of relativitySpecial theory of relativity...
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Quantum Mechanics
Our discussions have been based almost exclusively on deterministic laws. Some might object that this is not very naturalistic. Aren’t our best...
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Introduction to Quantum Mechanics
Quantum mechanics is essential to understand nuclear and solid-state physics concepts. Topics related to the Schrödinger wave equation, hydrogen...
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Modern Physics: Quantum Mechanics
PlanckPlanck, Max proposed the quantization of energyEnergy as a mathematical trick to explain the black bodyBlack body spectrum. It was...
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Introducing Relativity in Quantum Mechanics
In 1905, Albert Einstein discovered the special theory of relativity. In 1925, Schrödinger knew that any foundational law of physics should be...
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Some Consequences of Relativity for Quantum Mechanics
Most of the results that are presented in this book are widely known results proposed and discovered by a multitude of physicists. However, we...