The object of the paper is to formulate Quantum (Schrödinger) dynamics of spectrally bounded wavefunction. The Nyquist theorem is used to replace the wavefunction with a discrete series of numbers. Consequent...The object of the paper is to formulate Quantum (Schrödinger) dynamics of spectrally bounded wavefunction. The Nyquist theorem is used to replace the wavefunction with a discrete series of numbers. Consequently, in this case, Schrödinger dynamics can be formalized as a universal set of ordinary differential Equations, with universal coupling between them, which are related to Euler’s formula. It is shown that the coefficient (m, n) is inversely proportional to the distance between the points n and m. As far as we know, this is the first time that this inverse square law was formulated.展开更多
Dispersing emitters, whose emissions are consistent with the inverse square law, from a point into cylindrical shapes causes a field-strength depression which is strongly dependent upon the cylinder’s dimensions and ...Dispersing emitters, whose emissions are consistent with the inverse square law, from a point into cylindrical shapes causes a field-strength depression which is strongly dependent upon the cylinder’s dimensions and the distance from the cylinder. The computations of field-strength depressions are partitioned into the components due to dispersion of the emitters alone, due to self-absorption alone, and the total field-strength depression. Each partition is displayed graphically for distances of 5 cm to 10 meters from the cylinders and for a variety of cylinder dimensions. The shape of the displayed curves is analyzed to reveal the basis for correlations between curve shape and the cylinder dimensions. Practical use of the data presented graphically is demonstrated.展开更多
文摘The object of the paper is to formulate Quantum (Schrödinger) dynamics of spectrally bounded wavefunction. The Nyquist theorem is used to replace the wavefunction with a discrete series of numbers. Consequently, in this case, Schrödinger dynamics can be formalized as a universal set of ordinary differential Equations, with universal coupling between them, which are related to Euler’s formula. It is shown that the coefficient (m, n) is inversely proportional to the distance between the points n and m. As far as we know, this is the first time that this inverse square law was formulated.
文摘Dispersing emitters, whose emissions are consistent with the inverse square law, from a point into cylindrical shapes causes a field-strength depression which is strongly dependent upon the cylinder’s dimensions and the distance from the cylinder. The computations of field-strength depressions are partitioned into the components due to dispersion of the emitters alone, due to self-absorption alone, and the total field-strength depression. Each partition is displayed graphically for distances of 5 cm to 10 meters from the cylinders and for a variety of cylinder dimensions. The shape of the displayed curves is analyzed to reveal the basis for correlations between curve shape and the cylinder dimensions. Practical use of the data presented graphically is demonstrated.
