classical mechanics
Classical Mechanics as a Fundamental Law of Quantum Mechanics
... in classical mechanics. The inability to measure this classical entanglement was rationalized with the definition of a classical observer which collapses all entanglement into distinguishable ...
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ALTERNATIVE HAMILTONIANS OF CLASSICAL MECHANICS AND NONCANONICAL QUANTIZATION
... In classical mechanics this problem was noticed longer than a century ago, ...alternative classical descriptions for quantum physics was for the first time noted and investigated in ...
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Symmetry and relativity: From classical mechanics to modern particle physics
... The aim of this review is to highlighte the com- mon aspects between Symmetry in Physics and the Relativity Theory, particularly Special Relati- vity. After a brief historical introduction, empha- sis is put on the ...
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Cosmic Dark Energy Density from Classical Mechanics and Seemingly Redundant Riemannian Finitely Many Tensor Components of Einstein’s General Relativity
... We determine the limit of the ratio formed by the independent components of the Riemann tensor to the non-zero component as space dimensionality tends to infinity and find it to be 12. Subse- quently we use this result ...
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From the universe to subsystems: Why quantum mechanics appears more stochastic than classical mechanics
... in classical mechanics (CM), where the forces range all over physical space, the motion of any particle at any given time depends, strictly speaking, on the position and the momentum of all the other ...
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A classical mechanics model for the interpretation of piezoelectric property data
... N 1 along the polar [001] axis. The effective charge perpen- dicular to the polar axis appears to be 5 times greater than that parallel to it. This result is not so intuitive in terms of the classical ...
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Theoretical Equivalence in Classical Mechanics and its relationship to Duality
... Third, we have shown that concepts and analogies from logic and category theory (and meta- mathematical tools more generally speaking) can be fruitfully employed by philosophers to improve our understanding of the ...
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Variational Principles in Classical Mechanics - Second Edition
... of mechanics plus gravitation (chapter 2), linear oscillators and wave motion (chapter 3), and an introduction to non-linear dynamics and chaos (chapter ...analytical mechanics that underlie this ...of ...
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A New Formulation of Classical Mechanics—Part 1
... Until today, there are two formulations of classical mechanics. The first one is based on Newton’s laws and the second one is based on the principle of least action [1]. These formalisms have advantages and ...
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Conservation of Energy in Classical Mechanics and Its Lack from the Point of View of Quantum Theory
... It is pointed out that the property of a constant energy characteristic for the circular motions of macroscopic bodies in classical mechanics does not hold when the quantum conditions for the motion are ...
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Classical Mechanics is Lagrangian; It Is Not Hamiltonian
... by classical mechanics have this property: the equations governing the evolution of only some physical quantities associated with the system change in form during its interactions with the environment, ...
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Mixing quantum and classical mechanics
... and classical subsystems. The great util- ity of quantum-classical models based on a trajectory de- scription for the classical subsystem has found realization in numerous molecular-dynamics ...
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On the Problem of Eigenschaften in Quantum and Classical Mechanics
... in classical physics where only measurements of amplitudes are required, nobody doubts that the “moon is there” and that it is the same for all inertial reference frames, for example (Figure ...
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Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions
... Periodic-orbit theory aims at the semiclassical evaluation of energy levels of quantum systems and relates their spectral properties to periodic orbits of the corresponding classical system. For autonomous systems ...
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Solutions to Problems in Goldstein, Classical Mechanics, Second Edition. Chapter 7
... We’ll assume the z axis is rotated around the x axis, in a sense such that if you’re standing on the positive x axis, looking toward the negative x axis, the rotation appears to be count[r] ...
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ON UNCERTAINTY RELATIONS AND INTERFERENCE IN QUANTUM AND CLASSICAL MECHANICS
... It is usually claimed that UR (1) prohibits for particles in QM to have position and momentum defined precisely simultaneously. We show in section 3 that it is not true. The problem here is in definition of the position ...
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A New Formulation of Classical Mechanics—Part 2
... Using this, we found a more conveniently method to solve the temporal equation and then we changed the fourth step of the algorithm given in the first part in order to graph each compone[r] ...
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Basic Paradoxes of Statistical Classical Physics and Quantum Mechanics
... with classical mechanics): even an infinitesimal interaction leads to synchronisation of the time arrow directions as an infinitely large instability (ambiguity) of processes with decreasing entropy (in ...
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A New Approach to Classical Statistical Mechanics
... A physical entity having finite non-zero mass bound to a time-independent potential is said to form a conserva- tive system; to the extent the internal structure and the external dimensions of the entity do not play any ...
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Correcting Some Misinterpreted Concepts and Phenomena in Classical and Relativistic Mechanics (Foundational Concepts and Related Phenomena, Generally)
... Another point also worthy of emphasis in advance is that the scientifical- ly-minded reader cannot accept viewpoints dictated merely by scientists’ pres- tige as undisputable facts, no matter how great the scientists and ...
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