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# O*-algebra and Quantum field theory

## Difference between O*-algebra and Quantum field theory

### O*-algebra vs. Quantum field theory

In mathematics, an O*-algebra is an algebra of possibly unbounded operators defined on a dense subspace of a Hilbert space. In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

## Similarities between O*-algebra and Quantum field theory

O*-algebra and Quantum field theory have 3 things in common (in Unionpedia): Hilbert space, Operator algebra, Wightman axioms.

### Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

### Operator algebra

In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings.

### Wightman axioms

In physics, the Wightman axioms (also called Gårding–Wightman axioms), named after Lars Gårding and Arthur Wightman, are an attempt at a mathematically rigorous formulation of quantum field theory.

### The list above answers the following questions

• What O*-algebra and Quantum field theory have in common
• What are the similarities between O*-algebra and Quantum field theory

## O*-algebra and Quantum field theory Comparison

O*-algebra has 7 relations, while Quantum field theory has 334. As they have in common 3, the Jaccard index is 0.88% = 3 / (7 + 334).

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