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The Possibility of Reconciling Quantum Mechanics with Classical Probability Theory

open access: yes, 2007
We describe a scheme for constructing quantum mechanics in which a quantum system is considered as a collection of open classical subsystems. This allows using the formal classical logic and classical probability theory in quantum mechanics. Our approach
A. N. Kolmogorov   +14 more
core   +2 more sources

A 4-vector formalism for classical mechanics

open access: yesRevista Brasileira de Ensino de Física
We present a matrix formalism, inspired by the Minkowski four-vectors of special relativity, useful to solve classical physics problems related to both mechanics and thermodynamics.
J. Güémez, M. Fiolhais
doaj   +1 more source

Phase Space Cell in Nonextensive Classical Systems

open access: yesEntropy, 2003
: We calculate the phase space volume Ω occupied by a nonextensive system of N classical particles described by an equilibrium (or steady-state, or long-term stationary state of a nonequilibrium system) distribution function, which slightly deviates ...
Piero Quarati, Francesco Quarati
doaj   +1 more source

On the Relationship of Quantum Mechanics to Classical Electromagnetism and Classical Relativistic Mechanics

open access: yes, 2004
Some connections between quantum mechanics and classical physics are explored. The Planck-Einstein and De Broglie relations, the wavefunction and its probabilistic interpretation, the Canonical Commutation Relations and the Maxwell--Lorentz Equation may ...
Amrein W O   +29 more
core   +1 more source

Theoretical Physics: A Primer for Philosophers of Science

open access: yesPrincipia: An International Journal of Epistemology, 2009
We give a overview of the main areas in theoretical physics, with emphasis on their relation to Lagrangian formalism in classical mechanics. This review covers classical mechanics; the road from classical mechanics to Schrödinger’s quantum mechanics ...
Francisco Antonio Doria
doaj  

Classical Limit of Quantum Mechanics for Damped Driven Oscillatory Systems: Quantum–Classical Correspondence

open access: yesFrontiers in Physics, 2021
The investigation of quantum–classical correspondence may lead to gaining a deeper understanding of the classical limit of quantum theory. I have developed a quantum formalism on the basis of a linear invariant theorem, which gives an exact quantum ...
Jeong Ryeol Choi
doaj   +1 more source

Classicalization of Quantum Mechanics: Classical Radiation Damping Without the Runaway Solution

open access: yesPhysics
In this paper, we review a new treatment of classical radiation damping, which resolves a known contradiction in the Abraham–Lorentz equation that has long been a concern. This radiation damping problem has already been solved in quantum mechanics by the
Tomio Petrosky   +2 more
doaj   +1 more source

A symplectic integrator for molecular dynamics on a hypersphere

open access: yesCondensed Matter Physics, 2020
We present a reversible and symplectic algorithm called ROLL, for integrating the equations of motion in molecular dynamics simulations of simple fluids on a hypersphere Sd of arbitrary dimension d. It is derived in the framework of geometric algebra and
J.-M. Caillol
doaj   +1 more source

Complex Moduli of Physical Quanta

open access: yes, 2004
Classical mechanics can be formulated using a symplectic structure on classical phase space, while quantum mechanics requires a complex-differentiable structure on that same space.
JOSÉ M. ISIDRO, Montesinos M.
core   +1 more source

The Phase Space Elementary Cell in Classical and Generalized Statistics

open access: yesEntropy, 2013
In the past, the phase-space elementary cell of a non-quantized system was set equal to the third power of the Planck constant; in fact, it is not a necessary assumption. We discuss how the phase space volume, the number of states and the elementary-cell
Piero Quarati, Marcello Lissia
doaj   +1 more source

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