Statistical Potential Model

Apparent wave function collapse caused by scattering

“…In the second category of theories, perhaps the most radical is the one proposed by Everett, Wheeler, Cooper, DeWitt, and others [2][3][4][5][6][7] between 1957 and 1970, which shows that even if one assumes that the wave function containing the observer evolves causally according to the Schrödinger equation, the observer will subjectively experience wave function collapse. Zeh, Kübler, Joos, Machida, Namiki, Zurek, Unruh, Cini, Peres, Partovi, Gallis, Fleming, Hartle and others [8][9][10][11][12][13][14][15][16][17][18][19][20] have strengthened this position by showing that for macroscopic objects, their inevitable interaction with the environment leads to a dynamic reduction of the density matrix (what is widely known as wave function collapse) and superselection rules. These superselection rules tend to favor "classical" states, and explain why we never experience say spatial superpositions of cars or superpositions of living and dead cats.…”

Quantum dephasing by chaos

“…Usually, some randomness associated with large systems is considered to play an important role in this context. See discussions on this matter within the framework of the many-Hilbert space theory [1].…”

“…Thus the value of ǫ gives us a criterion to judge how well the instrument D can work as a measuring apparatus [1].…”

“…Our crucial assumption is that the D-particle moves chaotically. Because of the ℓ-dependence of the chaotic potential center, we have to add the subscript (ℓ) to P and to ψ ′ A in (1). As the scatterer consists of a single particle and is not expected to be large in size, it is not appropriate to treat our present problem approximately as a one-dimensional collision process.…”

“…Such a possibility was previously envisaged within the framework of the many-Hilbert-space approach (see the last paper in [1]), but only in the trivial case of complete dephasing. On the contrary, Eq.…”