Superselection Rules

  title={Superselection Rules},
  author={Domenico Giulini},
  booktitle={Compendium of Quantum Physics},
  • D. Giulini
  • Published in Compendium of Quantum Physics 8 October 2007
  • Physics
This note provides a summary of the meaning of the term ‘Super sel ction Rule’ in Quantum Mechanics and Quantum-Field Theory. It is a slightly extended version of a contribution to the Compendium of Quantum Physics: Concepts, Experiments, History and Philosophy , edited by Friedel Weinert, Klaus Hentschel, Daniel Greenberger, and Brigitte Falkenb urg. 

On Quantum Computation, Anyons, and Categories

  • A. BlassY. Gurevich
  • Mathematics
    Martin Davis on Computability, Computational Logic, and Mathematical Foundations
  • 2016
Yoneda’s lemma leads to a simplification of that description of Fibonacci anyons and some calculations that seem to be known to the experts but not explicit in the literature are exhibited.


We explain the use of category theory in describing certain sorts of anyons. Yoneda's lemma leads to a simplification of that description. For the particular case of Fibonacci anyons, we also exhibit

A Generic Model for Quantum Measurements

A unified picture of quantum measurements within this approach is provided, and the role of the system–context dichotomy, and of quantum interferences are justified, and links with stochastic quantum thermodynamics, and with algebraic quantum theory are discussed.

Introduction to a Quantum Theory over a Galois Field

A quantum theory based on a Galois field where infinities cannot exist, the cosmological constant problem does not arise, and there can be no neutral elementary particles and the spin-statistics theorem can be treated simply as a requirement that standard quantum theory should be based on complex numbers.

Charting the landscape of interpretation, theory rivalry, and underdetermination in quantum mechanics

Issues about theoretical identity, theoretical and methodological pluralism, and the prospects for a realist stance towards quantum theory can be properly addressed once it is properly addressed that interpretations of quantum mechanics are rival theories.

On Probabilities in the Many Worlds Interpretation of Quantum Mechanics † U niversity of C ologne

Quantum Mechanics notoriously faces a measurement problem, the problem that the unitary time evolution, encoded in its dynamical equations, together with the kinematical structure of the theory

Superselection of the weak hypercharge and the algebra of the Standard Model

We postulate that the exactly conserved weak hypercharge Y gives rise to a superselection rule for both observables and gauge transformations. This yields a change of the definition of the particle

Quantum Theory over a Galois Field and Applications to Gravity and Particle Theory

We argue that the main reason of crisis in quantum physics is that nature, which is fundamentally discrete, is described by continuous mathematics. Moreover, no ultimate physical theory can be based

An introduction to quantum measurements with a historical motivation

We provide an introduction to the theory of quantum measurements that is centered on the pivotal role played by John von Neumann's model. This introduction is accessible to students and researchers



The Intrinsic Parity of Elementary Particles

The limitations to the concept of parity of quantum-mechanical states and, in particular, of intrinsic parity of elementary particles are discussed. These limitations are shown to follow from

Charge Superselection Rule

Questions concerning superselection rules are considered. Two experiments are discussed. In the first, coherent superpositions of different angular-momentum states are constructed. In the second,

Local quantum physics : fields, particles, algebras

This textbook gives a comprehensive account of local quantum physics understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach, it describes

Decoherence and the Appearance of a Classical World in Quantum Theory

In the last decade decoherence has become a very popular topic mainly due to the progress in experimental techniques which allow monitoring of the process of decoherence for single microscopic or

Proof of the charge superselection rule in local relativistic quantum field theory

The paper interprets and proves the charge superselection rule within the framework of local relativistic field theory as the statement that the charge operator commutes with all quasilocal

On Galilei Invariance in Quantum Mechanics and the Bargmann Superselection Rule

Abstract We reinvestigate Bargmann's superselection rule for the overall mass ofnparticles in ordinary quantum mechanics with Galilei invariant interaction potential. We point out that in order for

Decoherence, einselection, and the quantum origins of the classical

as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus

Entanglement constrained by superselection rules.

It is proved that even for an ensemble comprising many pairs of qubits, each pair described by a pure Bell state, the entanglement per element constrained by this superselection rule goes to zero for a large number of elements.

Superselection Rule for Charge

The customary notion of superselection rule stipulates the vanishing of those matrix elements of the density matrix that connect states separated by the superselection rule, i.e., the relative phases

General Principles of Quantum Field Theory