Biomedical subjects

JQ Chen

Publications and source records attributed to JQ Chen.

17 recordsLinked to original sources

PubMed1999

Algebraic expressions for symmetry-adapted functions of the icosahedral group in spinor space.

Algebraic expressions for projection operators and symmetry-adapted functions (SAFs) of the icosahedral group for spinor (double-valued) representations are found by using the double-induced technique and eigenfunction method. The SAFs are functions of the angular momentum j, the quantum numbers lambda, nu, µ of the group chain I superset D(5) superset C(5), and the multiplicity label {\bar m}. By this procedure, SAFs for the group I are provided once for all instead of one j value at a time.

Journal Article↗

PubMed1999

Reduced projection operators and algebraic expressions for the symmetry-adapted functions of the icosahedral group.

The algebraic expressions for the reduced projection operators rho((lambda){\bar µ})(µ) = summation operator(i=1)(4) u(i) \hat{beta(i)} for the irreducible representation (irrep) lambda of the icosahedral group I are found by using the double-induced technique and eigenfunction method, where \hat{beta(i)} are the double-coset generators of I with respect to the cyclic subgroup C(5). Simple algebraic expressions are derived for the symmetry-adapted functions (SAF's) by applying the reduced projection operators rho((lambda){\bar µ})(µ) to Y(l {\bar m}). The SAF's are functions of the angular momentum l, the quantum numbers lambda, µ of the group chain I superset C(5) and the multiplicity label \bar m. In this way, the SAF problem of the group I is solved once for all instead of for one angular momentum l each time.

Journal Article↗

PubMed1997

Algebraic Expressions of Irreducible Bases for the Molecule C60

A general procedure is given for obtaining the algebraic expressions of the irreducible bases for any molecule with icosahedral symmetry from those for the molecule B12H12, which have been obtained using the symmetrized boson representation. As an illustration, concise algebraic expressions of the irreducible bases for the molecules C60 are derived for the most general case; those for any specific case can be derived from them easily without a projection procedure. Copyright 1997 Academic Press. Copyright 1997Academic Press

Journal Article↗

PubMed1996