[FOM] Quantum mechanics realm

José Félix Costa fgc at math.ist.utl.pt
Thu Jun 1 05:43:20 EDT 2006

I am much in agreement with Paul:

«The simple idea is that if QM is a complete theory, it must explain in QM
terms the difference between  QM phenomena and classical measurements, and
how measurement occurs.  (The mysterious "collapse of the wave function" of
Copenhagen is not acceptable to Bohmians as an explanation within QM.)»

This explanation is quite a different aspect from the derivation of
classical mechanics out of quantum mechanics:

Since quantum mechanics works with the classical potential,
some analytic-algebraic manipulations of the wave equation,
makes a formula
which limit, when h (Planks constant) goes to zero,
collapses in the Lagrangean (or Hamiltonian) formulation of classical
mechanics -- ultimately in F = m a.
This is one of the most exciting exercices to do in class.

This is not, however a compreensive inclusion of classical mechanics in the
quantum realm.

J. Felix Costa
Departamento de Matematica
Instituto Superior Tecnico
Av. Rovisco Pais, 1049-001 Lisboa, PORTUGAL
tel:      351 - 21 - 841 71 45
fax:     351 - 21 - 841 75 98
e-mail:   fgc at math.ist.utl.pt
www:    http://fgc.math.ist.utl.pt/jfc.htm

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