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It is not the case that Chaos is impossible for linear systems with separable Hamiltonians.
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Reasons Against
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Reason against
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1.
Linear systems obey the principle of linear superposition.
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2.
Linear superposition implies that the Hamiltonians for linear systems are always separable.
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3.
A separable Hamiltonian can always be transformed into a sum of separate Hamiltonians, leaving subsystems independent of each other.
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