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