ar X iv : m at h - ph / 0 11 20 26 v 1 1 3 D ec 2 00 1 DIFFERENTIAL EQUATIONS EXTENDED TO SUPERSPACE
نویسندگان
چکیده
We present a simple SUSY n=2 superspace extension of the differential equations in which the sought solutions are considered to be real superfields but maintaining the common derivative operators and the coefficients of the differential equations unaltered. In this way, we get selfconsistent systems of coupled differential equations for the components of the superfield. This procedure is applied to the Riccati equation, for which we obtain in addition the system of coupled equations corresponding to the components of the general superfield solution.
منابع مشابه
ar X iv : m at h - ph / 0 11 20 26 v 2 3 0 Ja n 20 02 DIFFERENTIAL EQUATIONS EXTENDED TO SUPERSPACE
We present a simple SUSY N S =2 superspace extension of the differential equations in which the sought solutions are considered to be real superfields but maintaining the common derivative operators and the coefficients of the differential equations unaltered. In this way, we get selfconsistent systems of coupled differential equations for the components of the superfield. This procedure is app...
متن کاملar X iv : 0 71 2 . 31 03 v 1 [ m at h - ph ] 1 9 D ec 2 00 7 STATIONARY SOLUTIONS OF THE SCHRÖDINGER - NEWTON MODEL - AN ODE APPROACH
We prove the existence and uniqueness of stationary spherically symmetric positive solutions for the Schrödinger-Newton model in any space dimension d. Our result is based on a careful analysis of the corresponding system of second order differential equations. It turns out that d = 6 is critical for the existence of finite energy solutions and the equations for positive spherically symmetric s...
متن کاملar X iv : m at h - ph / 0 40 40 70 v 2 1 6 D ec 2 00 4 Spectral Theory of Time Dispersive and Dissipative Systems
We study linear time dispersive and dissipative systems. Very often such systems are not conservative and the standard spectral theory can not be applied. We develop a mathematically consistent framework allowing (i) to constructively determine if a given time dispersive system can be extended to a conservative one; (ii) to construct that very conservative system – which we show is essentially ...
متن کامل