2007, Vol. 24(2): 370-373    DOI:
Multisymplectic Geometry and Its Applications for the Schrodinger Equation in Quantum Mechanics
CHEN Jing-Bo
Institute of Geology and Geophysics, Chinese Academy of Sciences, PO Box 9825, Beijing 100029
收稿日期 2006-08-28  修回日期 1900-01-01
Supporting info

[1] Marsden J E, Patrick G P and Shkoller S 1998 Comm.
Math. Phys. 199 351

[2] Chen J B 2002 Lett. Math. Phys. 61 63

[3] Bridges T J 1997 Math. Proc. Cam. Phil. Soc. 121 147

[4] Bridges T J and Reich S 2001 Phys. Lett. A 284 184

[5] Chen J B 2005 Lett. Math. Phys. 71 243

[6] Hong J L, Liu Y, Munthe-Kass H and Zanna A 2002 A
Multisymplectic Scheme for Schrödinger Equations with Variable
Coefficients (preprint)

[7] Olver P J 1993 Applications of Lie Groups to
Differential Equations 2nd edn (New York: Springer)

[8] Veselov A P 1988 Funct. Anal. Appl. 22 83

[9] Chen J B and Qin M Z 2002 Numer. Meth. Part. Diff. Eq.
18 523

[10] Reich S 2000 J. Comput. Phys. 157 473

[11] Lee T D 1982 Phys. Lett. B 122 217

[12] Kane C, Marsden J E and Ortiz M 1999 J. Math. Phys.
40 3353

[13] Chen J B, Guo H Y and Wu K 2003 J. Math. Phys. 44
1688