- #1
Quantum River
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According to Prof. Sir M. Berry's argument, the Quantum Mechanics transition to Classical Mechanics (when the Planck constant approaches 0) is a singular process. So there is a lot of new physics here.
Let's consider the Schrodinger Equation. If the wave function at t=0 has a small error, could the small error be amplified to a big one in the evolution? Not likely.
But in the Classical Mechanics, according to Henri Poincaré, the small error in the initial conditions will be amplified to a very big one when the time t is big.
According to the Correspondence Principle, the CM is the limit of QM when the Planck constant approaches 0.
So there is some contradiction or inconsistency here.
Exist or Inexist? It is a problem.
Let's consider the Schrodinger Equation. If the wave function at t=0 has a small error, could the small error be amplified to a big one in the evolution? Not likely.
But in the Classical Mechanics, according to Henri Poincaré, the small error in the initial conditions will be amplified to a very big one when the time t is big.
According to the Correspondence Principle, the CM is the limit of QM when the Planck constant approaches 0.
So there is some contradiction or inconsistency here.
Exist or Inexist? It is a problem.