Elementary Problems on the Configurations of a Linear High Polymer

抄録

The studies on the configurations of a linear high polymer have based upon the problems of the random flights which have been discussed so far mainly in the form of the Fourier transformation. In this paper these problems being treated by the operational method, the general expressions for the distributions of the end-to-end distance, of the distance between the i-th segment and the centre of gravity and of the segment density around the centre of gravity are obtained. It can be seen that it is rather preferable for the random flights of which each displacement has finite length to use the operational method. This method can be applied to the general random flights problems by adopting the discontinuous integral in the form of the Laplace transformation.