Quantum Physics

A Ghost - Free Axiomatization of Quantum Mechanics by Bunge M.

By Bunge M.

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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.

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