Understanding Quantum Physics: An Advanced Guide for the Perplexed by Gao Shan

Author:Gao, Shan [Gao, Shan]
Language: eng
Format: epub
Publisher: Amazon Kindle Direct Publishing
Published: 2011-11-18T23:00:00+00:00

where |Ei> is the energy eigenstate of the Hamiltonian of the system, Ei is the corresponding energy eigenvalue, and ci(0) satisfies the normalization relation Σi |ci(0)|2 = 1.

According to our conjecture on the origin of wavefunction collapse, this superposition of energy eigenstates will collapse to one of the eigenstates after a discrete dynamical process, and the collapse evolution satisfies the conservation of energy at the ensemble level. The physical picture of the dynamical collapse process is as follows. At the initial discrete instant t0 = tP (where tP is the Planck time), the system randomly stays in a branch |Ei with probability Pi(0) ≡ |ci(0)|2.[74] This finite stay slightly increases the probability of the staying branch and decreases the probabilities of all other branches pro rata. Similarly, at any discrete instant t = ntP the system randomly stays in a branch |Ei with probability Pi(t) ≡ |ci(t)|2, and the random stay also changes the probabilities of the branches slightly. Then during a finite time interval much larger than tP, the probability of each branch will undergo a discrete and stochastic evolution. In the end, the probability of one branch will be close to one, and the probabilities of other branches will be close to zero. In other words, the initial superposition will randomly collapse to one of the energy branches in the superposition.

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