ON THE INVERSE PROBLEM OF LAGRANGIAN SUPERMECHANICS
1993 ◽
Vol 08
(20)
◽
pp. 3565-3576
◽
Keyword(s):
The inverse problem of Lagrangian supermechanics is investigated. A set of necessary and sufficient conditions for a system of second order differential equations in superspace to derive from a (possibly nonregular) super-Lagrangian function are given. The harmonic superoscillator is revisited and a family of even and odd alternative super-Lagrangians are constructed for it. Finally, we comment on the existence of recursion operators.
1997 ◽
Vol 212
(1)
◽
pp. 51-59
◽
2000 ◽
Vol 252
(1)
◽
pp. 342-352
◽
1993 ◽
Vol 113
(1)
◽
pp. 205-224
◽
2007 ◽
Vol 332
(1)
◽
pp. 751-752
◽
2005 ◽
Vol 71
(02)
◽
pp. 397-414
◽