英和和英

名詞

unitary group (plural unitary groups)

1. (group theory) For given n, the group of n×n unitary matrices, with the group operation of matrix multiplication.
   • 1995, Ruben Pauncz, The Symmetric Group in Quantum Chemistry, CRC Press, page 195:

     The symmetric group is closely related to the unitary group. […] The latest developments in spin free quantum chemistry have been the use of the unitary group for the calculation of the matrix elements of the Hamiltonian in the configuration interaction treatment.

   • 2004, [1999], Shoon K. Kim, Group Theoretical Methods and Applications to Molecules and Crystals, Cambridge University Press, page 53:

     Two of the most important types of groups that occur in physics are unitary groups and orthogonal groups.

使用する際の注意点

The unitary group of degree n is a subgroup of the general linear group GL(n, C) (i.e., the underlying field is that of the complex numbers) and can be denoted U(n) or U_n.

同意語

• hyperorthogonal group (especially over finite fields, obsolete)

下位語

• circle group

派生語

• co-unitary group
• projective unitary group
• special unitary group
• general unitary group