• Corpus ID: 117845242

Identical Particles in Quantum Mechanics

@article{Lubberdink2009IdenticalPI,
  title={Identical Particles in Quantum Mechanics},
  author={Andrea Lubberdink},
  journal={arXiv: General Physics},
  year={2009}
}
  • A. Lubberdink
  • Published 24 October 2009
  • Physics
  • arXiv: General Physics
If, in a system of identical particles, the one particle state is defined by the partial trace to one of the component spaces of the total Hilbert space, then all one particle states are identical. The particles are indistinguishable. This is often thought to be a typical quantum mechanical phenomenon. I will show however that an analogous procedure to define particle states exists in classical mechanics, which results in classical indistinguishable identical particles. From this analogy it… 
Identical Quantum Particles as Distinguishable Objects
According to classical physics particles are basic building blocks of the world. These classical particles are distinguishable objects, individuated by unique combinations of physical properties. By
Identical Quantum Particles, Entanglement, and Individuality
TLDR
The premises of the standard view of particle indistinguishability are analyzed, an alternative that avoids these and similar problems is discussed, and this alternative approach connects to recent discussions in quantum information theory.
How Classical Particles Emerge From the Quantum World
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
The Gibbs Paradox Revisited
The Gibbs paradox has frequently been interpreted as a sign that particles of the same kind are fundamentally indistinguishable; and that quantum mechanics, with its identical fermions and bosons, is

References

SHOWING 1-6 OF 6 REFERENCES
Are quantum particles objects
Particle indistinguishability has always been considered a purely quantum mechanical concept. In parallel, indistinguishable particles have been thought to be entities that are not properly speaking
Physics and Leibniz's Principles
Leibniz’s principles made for an elegant and coherent philosophy. In part metaphysical, in part methodological, they addressed fundamental questions - in the treatment of symmetry, in the
Quantum Mechanics: An Empiricist View
Part 1 Determinism and inderterminism in classical perspective: determinism indeterminism and probability. Part 2 How the phenomena demand quantum theory: the empirical basis of quantum theory new
Identity in Physics: A Historical, Philosophical, and Formal Analysis
1. Introduction 2. Individuality in Classical Physics 3. Quantum Statistics and Non-Individuality 4. Individuality and Non-Individuality in Quantum Mechanics 5. Names, Nomological Objects, and
The Identity of Indiscernibles
The principle of the identity of indiscernibles would seem, in the forms in which it is usually stated, to be at best contingently true. It does not appear that even Leibniz held it to be logically