# Superselection Rules

@inproceedings{Giulini2007SuperselectionR, title={Superselection Rules}, author={Domenico Giulini}, booktitle={Compendium of Quantum Physics}, year={2007} }

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.

## 29 Citations

### On Quantum Computation, Anyons, and Categories

- MathematicsMartin 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.

### 0 Ju l 2 01 5 ON QUANTUM COMPUTATION , ANYONS , AND CATEGORIES

- Mathematics

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

- PhysicsEntropy
- 2019

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

- PhysicsSymmetry
- 2010

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

- PhysicsSynthese
- 2019

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

- Physics
- 2016

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

- Physics
- 2020

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

- Physics
- 2011

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

- Physics
- 2019

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…

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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,…

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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…

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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.

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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…