%0 Journal Article %1 Salomonson1982509 %A Salomonson, P. %A Holten, J. W. Van %D 1982 %J Nuclear Physics B %K Instantons SQM SpontaneausSusyBreaking %N 3 %P 509 - 531 %R DOI: 10.1016/0550-3213(82)90505-3 %T Fermionic coordinates and supersymmetry in quantum mechanics %U http://www.sciencedirect.com/science/article/B6TVC-4719TH4-2FS/2/2823db3b982c68311621678588e6175b %V 196 %X We describe the quantum mechanics of particles with fermionic degrees of freedom, both in the Schrödinger wave function and Feynman path integral formalism. In particular we derive an exact expression for fermionic path integrals in (0 + 1) dimensions. Under suitable circumstances the theories we consider can exhibit supersymmetry. As an application we analyze in detail how the spontaneous breaking of supersymmetry, occurring in certain models recently discussed by Witten, can be derived as an instanton effect in the path integral formalism.

@article{Salomonson1982509, abstract = {We describe the quantum mechanics of particles with fermionic degrees of freedom, both in the Schrödinger wave function and Feynman path integral formalism. In particular we derive an exact expression for fermionic path integrals in (0 + 1) dimensions. Under suitable circumstances the theories we consider can exhibit supersymmetry. As an application we analyze in detail how the spontaneous breaking of supersymmetry, occurring in certain models recently discussed by Witten, can be derived as an instanton effect in the path integral formalism.}, added-at = {2009-04-16T23:10:59.000+0200}, author = {Salomonson, P. and Holten, J. W. Van}, biburl = {https://www.bibsonomy.org/bibtex/27c66036667d247e2241f9f391c51c17b/gber}, description = {ScienceDirect - Nuclear Physics B : Fermionic coordinates and supersymmetry in quantum mechanics}, doi = {DOI: 10.1016/0550-3213(82)90505-3}, interhash = {a768536d99a23da0555d7198afdd7528}, intrahash = {7c66036667d247e2241f9f391c51c17b}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {Instantons SQM SpontaneausSusyBreaking}, number = 3, pages = {509 - 531}, timestamp = {2009-04-16T23:11:00.000+0200}, title = {Fermionic coordinates and supersymmetry in quantum mechanics}, url = {http://www.sciencedirect.com/science/article/B6TVC-4719TH4-2FS/2/2823db3b982c68311621678588e6175b}, volume = 196, year = 1982 }