Results 181 to 190 of about 377,813 (234)

The phase diagram of quantum chromodynamics in one dimension on a quantum computer. [PDF]

open access: yesNat Commun
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Unitary Groups, Unitary Steinberg Groups, and Unitary K-Groups

1989
This chapter presents a theory of unitary groups over rings parallel to that which Chapter 1 develops for the linear groups. We will introduce the concept of a form ring which will allow for the definition of generalized quadratic forms. The unitary groups — i.e.
Alexander J. Hahn, O. Timothy O’Meara
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Finite Unitary Reflection Groups

Canadian Journal of Mathematics, 1954
Any finite group of linear transformations onnvariables leaves invariant a positive definite Hermitian form, and can therefore be expressed, after a suitable change of variables, as a group of unitary transformations (5, p. 257). Such a group may be thought of as a group of congruent transformations, keeping the origin fixed, in a unitary space ...
Shephard, Geoffrey C., Todd, J. A.
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Odd Unitary Groups

Journal of Mathematical Sciences, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Overgroups of Unitary Groups

K-Theory, 2003
Overgroups of the elementary hyperbolic unitary group over a form ring subject to a stability condition which holds in particular for almost commutative and semilocal rings, are described.
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Arithmetic of unitary groups

The Annals of Mathematics, 1964
The purpose of this paper is to develop the theory of elementary divisors, to prove the approximation theorem, and to determine the class number for the following two types of algebraic groups: (i) the unitary group of a hermitian form over an algebraic number field; (ii) the unitary group of a hermitian form over a quaternion algebra, having an ...
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Unitary-group canonical representations

Canadian Journal of Physics, 1989
A procedure based on symmetric-group basis states is constructed to develop and justify the formalism for the computation of unitary-group canonical matrix elements and states, the quantities needed for physical applications to prepare for such applications. It is shown that this method does give the required canonical decomposition.
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Unitary Groups

1996
Abstract Unitary groups have extensive applications in physics. They describe intrinsic properties of quantum particles or collective degrees of freedom in composite systems. For example, the group SU(3) was used by Elliott to explain rotational levels of deformed nuclei (Elliott 1958, Elliott and Harvey 1963; for a review, see Hecht ...
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