scholarly journals Global symmetries of time-dependent Schrödinger equations

2003 ◽  
Vol 44 (9) ◽  
pp. 3775 ◽  
Author(s):  
Susumu Okubo
2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Bartłomiej Czech ◽  
Yaithd D. Olivas ◽  
Zi-zhi Wang

Abstract We write down Crofton formulas — expressions that compute lengths of space- like curves in asymptotically AdS3 geometries as integrals over kinematic space — which apply when the curve and/or the background spacetime is time-dependent. Relative to their static predecessor, the time-dependent Crofton formulas display several new features, whose origin is the local null rotation symmetry of the bulk geometry. In pure AdS3 where null rotations are global symmetries, the Crofton formulas simplify and become integrals over the null planes, which intersect the bulk curve.


1980 ◽  
Vol 41 (C1) ◽  
pp. C1-239-C1-240 ◽  
Author(s):  
Takayuki Kobayashi ◽  
Tetsuo Kitahara
Keyword(s):  

2013 ◽  
Vol 51 (05) ◽  
Author(s):  
Z Szalai ◽  
K Kupai ◽  
A Magyariné Berkó ◽  
A Pósa ◽  
R Szabó ◽  
...  

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