## 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–Uhlmann algebra or BU-algebra is the tensor algebra of a vector space, often a space of smooth test functions.

Borchers algebra and O*-algebra · Borchers algebra and Wightman axioms ·

### Hilbert space

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

Hilbert space and O*-algebra · Hilbert space and Wightman axioms ·

### 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.

O*-algebra and Quantum field theory · Quantum field theory and Wightman axioms ·

### 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.

O*-algebra and Unbounded operator · Unbounded operator and Wightman axioms ·

### 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.

O*-algebra and Wightman axioms · Wightman axioms and Wightman axioms ·

### 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

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