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Quantization and superselection sectors III:Multiply connected spaces and indistinguishable particles
Quantum theory identical particles permutation invariance
2016/6/14
We reconsider the (non-relativistic) quantum theory of indistinguishable particles on the basis of Rieffel's notion of C*-algebraic (`strict') deformation quantization. Using this formalism, we relate...
Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles
wave function Schrodinger's equation wavefunction collapse random discontinuous motion of particles de Broglie-Bohm theory many-worlds interpretation dynamical collapse theories
2016/6/13
This thesis is an attempt to reconstruct the conceptual foundations of quantum mechanics. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion of...
On Witness-Discernibility of Elementary Particles
Elementary particles Quantum mechanics Discernibility Leibniz’s principle Identity
2016/5/30
In the context of discussions about the nature of ‘identical particles’ and the status of Leibniz’s Principle of the Identity of Indiscernibles in Quantum Mechanics, a novel kind of physical discernib...
Quantum Logical Structures For Identical Particles
quantum logic-convex sets-indistinguishable particles
2016/5/30
In this work we discuss logical structures related to indistinguishable particles. Most of the framework used to develop these structures was presented in [17, 28] and in [20, 14, 15, 16]. We use thes...
How Classical Particles Emerge from the Quantum World
Identical particles quantum particles classical particles emergence
2016/5/30
The symmetrization postulates of quantum mechanics (symmetry for bosons, antisymmetry for fermions) are usually taken to entail that quantum particles of the same kind (e.g., electrons) are all in exa...
Discerning Elementary Particles
quantum identity indiscernibles elementary particles, bosons fermions
2009/6/11
We extend the quantum-mechanical results of Muller & Saunders (2008) establishing the weak discernibility of an arbitrary number of similar fermions in finite-dimensional Hilbert-spaces in two ways: (...