Abstract
1. A. new theory of crossing-over was presented from entirely new standpoint. One dimentional simple harmonic oscillator in quantum mechanics is the model of this theory. Thus, crossing-over probability distribution along the chromosome corresponds to the square of the Schrödinger wave function Ψ. Fig. 4. shows that the experimental probability distribution along the X chromosome of D. melanogaster fits into the theoretical probability distribution curve for n=3 satisfactorily. Good agreement of this correspondence suggests something essential underlying under the crossing-over phenomenon.
2. The unit length derived as a result of the theoretical treatment, 27c.m., must have a general meaning in both X chromosome and 2nd chromosome of D. melanogaster. Since the predicted centromere (68.3c.m.) agrees well with the cytological centromere (66.0c.m.), the centromere seems to play a determining role in this theory.
3. According to the theory, each region A, B, C, (Fig. 5.)-27c.m.-is not quite independent of each other with respect to the occurrence of one crossing-over in each region. Even if the potential V at the boundary point of two units is not infinite, the theory is modified without changing the nature.
4. Since n=3 means an excited state in quantum mechanical sense, it is very interesting to know this meaning in living organism.
