The problem of the precise form (together with the associated boundary conditions) of a one-dimensional hamiltonian describing a particle of variable mass is addressed. It is shown that although hermiticity may be a necessary condition, it is not sufficient to specify uniquely the hamiltonian. In particular one form of the Basket Blazer Bebe latter that is widely employed in the literature is shown to lead to a violation of the Heisenberg Uncertainty Principle. However imposition of the additional demand that any singular terms arising from the kinetic energy can be transformed away does lead to a unique specification of the hamiltonian. Finally the implications of the latter with regard to the standard probability interpretation of the wavefunction and for the observation of Bloch oscillations in quantum well structures is described.
The article provides an example of how to design an “intelligent” digital control for maintaining the temperature at a predefined level in a common kitchen refrigerator. The control works on the basis of modeling a thermostatic appliance and the use of fuzzy logic. Thermostatically simulated and fuzzy controlled model are presented successively. The latter is set-up on the basis of the Sugeno’s type of fuzzy rules and the Jang’s procedure of learning. MATLAB, SIMULINK and Fuzzy Logic TOOLBOX Nike Blazer (FLT) are the programming environments used for realization of the model. The principal aim in designing the control is to assure the fastest and best transition possible from an analogue to digital control of the refrigerating appliance, which represents the Basket Nike Blazer Femme Noir basis of a functional expansion demanded by the present market.
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