Results 141 to 150 of about 48,147 (187)

Nonlinear Spinor Representations

Journal of Mathematical Physics, 1985
A systematic method for the construction of nonlinear carrier spaces for a class of nonlinear spinor representations of complex and pseudo-orthogonal rotation groups is presented. It is shown that Cartan pure spinors, which satisfy quadratic constraints, are special cases of our construction.
FURLAN, PAOLO, Raczkz R.
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Spinor representation

1996
Abstract In this chapter we investigate one of the fundamental constructions of this book, namely, the spinor representation of the orthogonal category. The spinor representation will be studied in full generality in Chapter 4. Here we shall discuss only its ‘finite-dimensional part’.
Yu. A Neretin, G G Gould
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Intrinsic nonlinear spinor wave equations associated with nonlinear spinor representations

Journal of Mathematical Physics, 1986
New covariant nonlinear spinor wave equations associated with nonlinear spinor representations of pseudo-orthogonal groups are derived. The wave equations obtained possess specific nonlinearities, which, in the intrinsic spinor coordinates, have the form of bilinear nonlinearities.
FURLAN, PAOLO, Raczka R.
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On representations of spinor genera II

Mathematische Annalen, 2005
Let \(\mathfrak o\) be the ring of integers of an algebraic number field and let \(L\) and \(K\) be quadratic lattices over \(\mathfrak o\) of ranks \(m\) and \(n\), respectively, with \(m \geq 3\). Assume that \(K\) is represented by the genus of \(L\) (i.e., that \(K\) is represented by \(L\) over all local completions of \(\mathfrak o\)). When \(m-n\
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Linear Representation of Spinors by Tensors

Journal of Mathematical Physics, 1967
A linear representation of spinors in n-dimensional space by tensors is proposed. In particular, in three-dimensional space a set composed by a scalar and a vector is associated to any two-component spinor, while in four-dimensional space the set corresponding to a four-component spinor is composed by a scalar, a pseudoscalar, a vector, a pseudovector,
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Spinor representations on a sphere

Nuclear Physics, 1966
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Molecular Orbital Theory: Spinor Representation

Journal of the Physical Society of Japan, 2003
The algebra representing electron is spinor. The many electron problem is investigated with the Nambu 2 ×2 spinor. Operators then are expressed 2 ×2 matrices. The electron–electron interaction is decomposed into couplings between various electron densities by using the Pauli spin matrices.
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Spinors and Spin Representations

1990
Let A be an associative algebra on the commutative field K (R or C), K C A. If E ≠ 0 is a vector space, a homomorphism ρ from A to End E which maps the unit element of A to Id E is called a representation of A in E.
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Spinor representation of electromagnetic fields

Journal of the Optical Society of America, 1976
We show that energy transport in an electromagnetic field can be described by a two-component spinor.
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Pure Symplectic Spinors in the Fock Representation

Journal of the London Mathematical Society, 1992
The notion of symplectic spinor for a finite-dimensional (real) vector space \(V\) with symplectic form \(\Omega\) was introduced by B. Kostant in 1974 as a tool in his theory of geometric quantization. The present work extends the notion and the investigation of symplectic spinors to the case that \(V\) is infinite-dimensional.
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