| 44 | 0 | 8 |
| Downloads | Citas | Reads |
This paper describes the quantum mechanics of a single particle system with one bosonic and one fermionie coordinate, under the matrix representation of the fermions and under the anticommuting c—number representation, in the Schrodinger wave function and in Feynman path integral formalism. In particular, two exact and equivalent expressions for fermionic path integrals in(0+1) dimensions are derived. Under suitable circumstances the system considered can exhibit supersymmetry. As an application it is analyzed in detail how the spontaneous breaking of supersymmerry, occurring in certain modeles discussed by Witten, can take place. By developing an iterative scheme to find the approximate ground state solutions to the Schrodinger equation, the relation between the ground state energy measuring the breaking of supersymmetry with non—perturbation and supersymmetric potentials is ot obtained.
[1] P. Salomonson & J.W. Van Holton,Nucl. Phys.,1982;B196:509
[2] E. Witten, Nucl. Phys.,1981;B188:513
[3] L. Faddeev,"in Methods in Field Theory", Les Houches (1975) ed. R. Balian and J. Zinn-Juslin (North-Holland).
[4] R.P. Feynman,Rev. Mod. Phys., 1948;20:267．
[5] P. Fayet and S. Ferrara,Phys. Reports,1977;32:249．
Basic Information:
China Classification Code:0413.1
Citation Information:
[1]Shi Wanzhong (Department of Physics).FERMIONIC VARIABLES AND SUPERSYMMETRY IN QUANTUM MECHANICS[J].Journal of Zhengzhou University(Natural Science Edition),1991(02):31-44.
1991-07-02
1991-07-02