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# O*-algebra and Wightman axioms

## Difference between O*-algebra and Wightman axioms

### O*-algebra vs. Wightman axioms

In mathematics, an O*-algebra is an algebra of possibly unbounded operators defined on a dense subspace of a Hilbert space. 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.

## Similarities between O*-algebra and Wightman axioms

O*-algebra and Wightman axioms have 5 things in common (in Unionpedia): Borchers algebra, Hilbert space, Quantum field theory, Unbounded operator, Wightman axioms.

### Borchers algebra

In mathematics, a Borchers algebra or Borchers&ndash;Uhlmann algebra or BU-algebra is the tensor algebra of a vector space, often a space of smooth test functions.

### Hilbert space

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

### Quantum field theory

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.

### Unbounded operator

In mathematics, more specifically functional analysis and operator theory, the notion of unbounded operator provides an abstract framework for dealing with differential operators, unbounded observables in quantum mechanics, and other cases.

### 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 Wightman axioms have in common
• What are the similarities between O*-algebra and Wightman axioms

## O*-algebra and Wightman axioms Comparison

O*-algebra has 7 relations, while Wightman axioms has 73. As they have in common 5, the Jaccard index is 6.25% = 5 / (7 + 73).

## References

This article shows the relationship between O*-algebra and Wightman axioms. To access each article from which the information was extracted, please visit:

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