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1	The Bose/Fermi oscillators in a new supersymmetric representation 21 September 2011 (has links) This work deals with the application of supermathematics to supersymmetrical problems arising in physics. Some recent developments are presented in detail. A reduction scheme for general supermanifolds to vector bundles is presented, which significantly simplifies their mathematical treatment in a physical context. Moreover, some applications of this new approach are worked out, such as the Fermi oscillator. supermathematics Fermi oscillator supersymmetrical problems
2	The Bose/Fermi oscillators in a new supersymmetric representation Ihl, Matthias, 1977- 25 October 2011 (has links) This work deals with the application of supermathematics to supersymmetrical problems arising in physics. Some recent developments are presented in detail. A reduction scheme for general supermanifolds to vector bundles is presented, which significantly simplifies their mathematical treatment in a physical context. Moreover, some applications of this new approach are worked out, such as the Fermi oscillator. / text Fermi oscillators Supersymmetrical Supersymmetric Supermathematics Supermanifolds Vector bundles Supernumbers Supervectors Bryce DeWitt Harmonic oscillators Graßmann algebra de-Rham complex