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Evading Quantum Mechanics à la Sudarshan: Quantum-Mechanics-Free Subsystem as a Realization of Koopman-von Neumann Mechanics
Tsang and Caves suggested the idea of a quantum-mechanics-free subsystem in 2012. We contend that Sudarshan’s viewpoint on Koopman-von Neumann...
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Hamiltonian Mechanics
This chapter is also equivalent to an almost complete introduction to standard Hamiltonian mechanics, with some new detailing and derivations. How...
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Beyond classic mechanics: multiplicative mechanics of magnetic particles in De-Sitter 2-space
This paper presents a new concept of multiplicative mechanics, which offers an alternative to classical mechanics. Multiplicative calculus, a...
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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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Analytical Mechanics
The aim of this chapter is to explain the principles of analytical mechanics. We begin by introducing the action, which is a fundamental function...
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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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Entanglement entropy in conformal quantum mechanics
We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time...
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Seven Singular Points in Quantum Mechanics
AbstractQuantum mechanics was developed rapidly and abruptly. The former circumstance inevitably led to errors in the theory, while the latter forced...
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Fracture Mechanics
We consider the problem of crack propagation in a continuous medium. First we study the case of classical linear fracture mechanics, we investigate...
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Bohmian Mechanics as Cartesian Science
The paper shows how Bohmian mechanics fits into modern science as conceived by Descartes. The primitive ontology of particle positions only...
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2 Basics of Quantum Mechanics
Before we can start with the quantum mechanical approach to thermodynamics we have to introduce some fundamental terms and definitions of standard...
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Homological quantum mechanics
We provide a formulation of quantum mechanics based on the cohomology of the Batalin-Vilkovisky (BV) algebra. Focusing on quantum-mechanical systems...
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Black hole entropy from quantum mechanics
We provide evidence for a holographic duality between superconformal quantum mechanics on the moduli space of Yang-Mills instantons and M-theory in...
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Newtonian Mechanics
Newton’s laws of motion and Newton’s gravitation law are introduced; the wider context with an eye to modern physics of these is discussed. The...
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Milestones in the Development of Celestial Mechanics
AbstractA brief outline of the development of ideas and a review of some achievements in modern celestial mechanics are presented. The emphasis is on...
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Probability and Typicality in Statistical Mechanics
Detlef Dürr was inspirational to many who write about issues in the philosophical foundations of physics and probability. For many years I have been...
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An Attempt to Understand Relational Quantum Mechanics
We search for a possible mathematical formulation of some of the key ideas of the relational interpretation of quantum mechanics and study their...
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Elements of Quantum Mechanics
Some introductory and historical remarks arguing the necessity of quantum mechanics are followed by a description of material waves describing free...
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Celestial Mechanics
The centuries after Newton were the heyday of celestial mechanics. At first it was about the description of the planetary orbits, soon followed by...
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Introduction to Quantum Mechanics
An introduction to Schrodinger picture of quantum mechanics is presented in this chapter. Postulates of quantum mechanics, definitions of operators,...