scientific article

zbMath1015.20012MaRDI QIDQ3149260

Jialun Ping, Fan Wang, Jin-Quan Chen

Publication date: 25 September 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite groupsunitary groupsLie algebrasquantum mechanicsDynkin diagramseigenfunction methodapplications to physicsrepresentation theory of groupsspace groups

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of group representations to physics and other areas of science (20C35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory (20-01) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

Related Items (20)

Examples of Simply Reducible Groups ⋮ Permutation-symmetric three-particle hyper-spherical harmonics based on the \(\operatorname{S}_{3}\otimes\operatorname{SO}(3)_{rot} \subset \operatorname{O}(2)\otimes\operatorname{SO}(3)_{ rot} \subset \operatorname{U}(3) \rtimes \operatorname{S}_{2} \subset \operatorname{O}(6)\) subgroup chain ⋮ Ferromagnetism in \(d\)-dimensional \(\mathrm{SU}(n)\) Hubbard models with nearly flat bands ⋮ Hamiltonians for the quantum Hall effect on spaces with non-constant metrics ⋮ Flat-band ferromagnetism in the SU(N) Hubbard and Kondo lattice models ⋮ Wave function of the sexaquark or compact H-dibaryon ⋮ Rotating restricted Schur polynomials ⋮ Maximal noiseless code rates for collective rotation channels on qudits ⋮ Irreducible projective representations and their physical applications ⋮ Computational stability investigations for a highly symmetric system: the pressurized spherical membrane ⋮ (Anti-)symmetrizing wave functions ⋮ Structure of irreducibly covariant quantum channels for finite groups ⋮ Program for calculating \(SU(4)\) Clebsch-Gordan coefficients ⋮ Construction of the zero-energy state of \(SU(2)\)-matrix theory: near the origin ⋮ A Gelfand-Tsetlin-type basis for the algebra \(\mathfrak{sp}_4\) and hypergeometric functions ⋮ Flux Hamiltonians, Lie algebras, and root lattices with minuscule decorations ⋮ Symbolic Algorithm for Generating Irreducible Rotational-Vibrational Bases of Point Groups ⋮ Follow the math! : the mathematics of quantum mechanics as the mathematics of set partitions linearized to (Hilbert) vector spaces ⋮ Group-theoretical approach to Bloch electron in magnetic field problem ⋮ SU(3) Clebsch–Gordan coefficients and some of their symmetries

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