On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
- A. Macfarlane
- Physics
- 7 November 1989
The quantum group SU(2)q is discussed by a method analogous to that used by Schwinger to develop the quantum theory of angular momentum. Such theory of the q-analogue of the quantum harmonic…
Spin‐s Spherical Harmonics and ð
- J. Goldberg, A. Macfarlane, E. Newman, F. Rohrlich, E. Sudarshan
- Mathematics
- 1967
Recent work on the Bondi‐Metzner‐Sachs group introduced a class of functions sYlm(θ, φ) defined on the sphere and a related differential operator ð. In this paper the sYlm are related to the…
INVARIANT TENSORS FOR SIMPLE GROUPS
- J. A. Azcárraga, A. Macfarlane, A. J. Mountain, J. C. P. Bueno
- Mathematics
- 3 June 1997
On the Restricted Lorentz Group and Groups Homomorphically Related to It
- A. Macfarlane
- Mathematics
- 1 November 1962
A study is made of the real restricted Lorentz group, L, and of its relationship(a) to the group, SL(2C), of complex unimodular two‐dimensional matrices, and(b) to the group, O3, of orthogonal…
Φ3 theory in six dimensions and the renormalization group
- A. Macfarlane, G. Woo
- Physics
- 25 July 1974
On characteristic equations, trace identities and Casimir operators of simple Lie algebras
- A. Macfarlane, H. Pfeiffer
- Mathematics
- 30 July 1999
Two approaches are developed to exploit, for simple complex or compact real Lie algebras g, the information that stems from the characteristic equations of representation matrices and Casimir…
The quantum mechanics of the supersymmetric nonlinear σ-model
- A. Davis, A. Macfarlane, P. Popat, J. W. Holten
- Physics
- 21 October 1984
The classical and quantum mechanical formalisms of the models are developed. The quantisation is done in such a way that the quantum theory can be represented explicitly in as simple a form as…
ESA's Planetary Science Archive: Preserve and present reliable scientific data sets
- S. Besse, C. Vallat, F. Vallejo
- Physics
- 2018
New supersymmetry of the monopole
- F. Jonghe, A. Macfarlane, K. Peeters, J. W. Holten
- Physics
- 7 July 1995
USE OF DETERMINANTS TO PRESENT IDENTITIES INVOLVING FIBONACCI AND RELATED NUMBERS
- A. Macfarlane
- Mathematics
- 2010
Let S1 denote a sequence of variables yn, n ∈ Z, subject to some difference equation. Let S2 denote a sequence of n×n determinants Tn, with elements defined in terms of the members of some sequence…
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