By Bunge M.

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A 15, 1363 (2000). R. Floyd, quant-ph/0302128. R. Floyd, quant-ph/0307090. G. Reinisch, Physica A 206, 229 (1994). G. Reinisch, Phys. Rev. A 56, 3409 (1997). E. Faraggi, hep-th/0411118. R. Carroll, Can. J. Phys. 77, 319 (1999). R. Carroll, quant-ph/0309023. R. Carroll, quant-ph/0401082. R. Carroll, gr-qc/0406004. R. Carroll, quant-ph/0403156. R. Carroll, gr-qc/0501045. A. Bouda, Found. Phys. Lett. 14, 17 (2001). A. Bouda, Int. J. Mod. Phys. A 18, 3347 (2003). A. Bouda and T. Djama, Phys. Lett. A 285, 27 (2001).

1 is true. The term β represents a phase shift between the two components. In our chosen inertial reference frame, ψ1 and ψ2 form a set of independent solutions of the Schrödinger equation for energy E. For the quantum trajectory representation, the Wronskian of the set (ψ1 , ψ2 ) is normalized rather than normalization in accordance with the Born probability postulate [11]. However, ψ1 and ψ2 , as will be shown later, appear in the generator of motion as a Möbius transformation (aψ1 − bψ2 )/(cψ1 − dψ2 ), ad − bc = 0 where a, b, c, and d are coefficients [13].

Qi . . qj . . ) = v k ( . . qi . . qj . . 40. 41, let us consider a system of N identical particles. 44) the set of all N -element subsets of R3 . While an element of R3N is an ordered configuration (Q1 , . . , QN ), an element of N R3 is an unordered configuration {Q1 , . . , QN }. Since the labels need not be specified, any point Q(0) ∈ N R3 as initial condition will uniquely define a curve t → Q(t) ∈ N R3 . So for symmetric or anti-symmetric wave functions, Bohmian mechanics works on the natural configuration space of identical particles.