1986/07/01 by J. A. de Azcárraga, J. Lukierski, P. Vindel · 1 citation
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Advanced Topics in Algebra #advanced mathematical theories #Superspace #Superfield #Physics #D-term #Noether's theorem #Mathematical physics #Supersymmetry #F-term #Superpotential #Supercharge #Supersymmetric quantum mechanics #Theoretical physics #Quantum mechanics #Quantum #Lagrangian #Quantum statistical mechanics
paper · doi:10.1142/s0217732386000385
openalex publication_date 1986/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
We consider the “supersymmetric roots” of the Heisenberg evolution equation as describing the dynamics of superfields in superspace. We investigate the superfield commutators and their equal time limits and exhibit their noncanonical character even for free superfields. For simplicity, we concentrate on the D=1 case, i.e., the superfield formulation of supersymmetric quantum mechanics in the Heisenberg picture and, as a soluble example, the supersymmetric oscillator. Finally, we express Noether’s theorem in superspace and give the definition of the global conserved supercharges.