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spinor

A mathematical object used in quantum mechanics and geometry to describe the state of a particle with half-integer spin, such as an electron, characterized by the property that it requires a 720-degree rotation to return to its original state.
Noun
pl: spinors

This term is a highly specialized technical noun used almost exclusively within the fields of theoretical physics and differential geometry. It describes a specific type of vector-like object that behaves differently under rotation than standard vectors, specifically requiring a full 720-degree turn to return to its initial state.

Because it is a mathematical entity, it is used in a formal, academic register. It is typically encountered in discussions regarding the Dirac equation, supersymmetry, or the behavior of fermions. It should not be confused with a standard vector or a tensor, as its transformation properties are distinct.

Meanings

Noun

A mathematical object used in quantum mechanics and geometry to describe the state of a particle with half-integer spin, such as an electron, characterized by the property that it requires a 720-degree rotation to return to its original state.

The electron's state is represented by a two-component spinor.

Examples

The electron state is represented by a two component spinor.

none

The electron state is represented by a two component spinor.

Wait, does a spinor really require a full 720 degree rotation to return to its initial state?

School Life

Waitdoes a spinor really require a full 720 degree rotation to return to its initial state?

I need to understand how the spinor transforms under the Lorentz group.

none

I need to understand how the spinor transforms under the Lorentz group.

The Dirac equation describes the behavior of a four component spinor.

none

The Dirac equation describes the behavior of a four component spinor.

Maybe I should review the relationship between a vector and a spinor.

School Life

Maybe I should review the relationship between a vector and a spinor.

A Weyl spinor is used to describe massless fermions in certain theories.

none

A Weyl spinor is used to describe massless fermions in certain theories.

The professor explained that a spinor is not a vector in the traditional sense.

School Life

The professor explained that a spinor is not a vector in the traditional sense.

The mathematical framework of the spinor bundle is essential for this manifold.

none

The mathematical framework of the spinor bundle is essential for this manifold.

I wonder if this specific spinor representation is the most efficient for the calculation.

none

I wonder if this specific spinor representation is the most efficient for the calculation.

Related Words

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Última atualização: May 2026Reportar um erro