Reference : Nonlinear Schrödinger wave equation with linear quantum behavior
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/169023
Nonlinear Schrödinger wave equation with linear quantum behavior
English
Richardson, Christopher mailto [Université de Liège - ULiège > Département de physique > Physique quantique statistique >]
Schlagheck, Peter mailto [Université de Liège - ULiège > Département de physique > Physique quantique statistique >]
Martin, John mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Vandewalle, Nicolas mailto [Université de Liège - ULiège > Département de physique > Physique statistique >]
Bastin, Thierry mailto [Université de Liège - ULiège > Département de physique > Spectroscopie atomique et Physique des atomes froids >]
2014
Physical Review A
American Physical Society
89
032118
Yes (verified by ORBi)
International
1050-2947
1094-1622
[en] We show that a nonlinear Schroedinger wave equation can reproduce all the features of linear quantum mechanics. This nonlinear wave equation is obtained by exploring, in a uniform language, the transition from fully classical theory governed by a nonlinear classical wave equation to quantum theory. The classical wave equation includes a nonlinear classicality enforcing potential which when eliminated transforms the wave equation into the linear Schro ̈dinger equation. We show that it is not necessary to completely cancel this nonlinearity to recover the linear behavior of quantum mechanics. Scaling the classicality enforcing potential is sufficient to have quantumlike features appear and is equivalent to scaling Planck’s constant.
Researchers ; Professionals
http://hdl.handle.net/2268/169023
also: http://hdl.handle.net/2268/183366 ; http://hdl.handle.net/2268/183358
10.1103/PhysRevA.89.032118

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