| 21. | The eigenfunctions of the Hamiltonian operator are stationary states of the quantum mechanical system, each with a corresponding energy.
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| 22. | Stationary states of this equation are found by solving the eigenvalue-eigenfunction ( time-independent ) form of the Schr�dinger equation,
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| 23. | This analogy is somewhat misleading, as interactions typically change the energy of stationary states, but and have identical spectra.
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| 24. | If the stationary state of the process is stable, then the unreproducible fluctuations involve local transient decreases of entropy.
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| 25. | If a stationary state | \ Psi \ rangle is plugged into the time-dependent Schr�dinger Equation, the result is:
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| 26. | A bistable element has two stable stationary states, transitions between which occur when external influence exceeds a certain threshold.
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| 27. | As we deal with stationary states, the total wave function is a solution of the Schr�dinger equation and reads
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| 28. | Fluctuations about stable stationary states are extremely small except near critical points ( Kondepudi and Prigogine 1998, page 323 ).
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| 29. | The stable stationary state has a local maximum of entropy and is locally the most reproducible state of the system.
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| 30. | Hence, Mill was able to express all of his liberal ideals for mankind through his concept of the stationary state.
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