Abstract
Since the research field of nuclear physics is expanding rapidly, it is becoming more imperative to develop the microscopic theory of nuclear matter physics which provides us with a unified understanding of diverse phenomena exhibited by nuclei. An establishment of various stable mean-fields in nuclei allows us to develop the microscopic theory of nuclear collective dynamics within the mean-field approximation. The classical-level theory of nuclear collective dynamics is developed by exploiting the symplectic structure of the time- dependent Hartree-Fock (TDHF)-manifold. The importance of exploring the single-particle dynamics, e.g. the level-crossing dynamics in connection with the classical order-to-chaos transition mechanism is pointed out. Since the classical-level theory is directly related to the full quantum mechanical boson expansion theory via the symplectic structure of the TDHF-manifold, the quantum theory of nuclear collective dynamics is developed at the dictation of what is developed in the classical-level theory. The quantum theory thus formulated enables us to introduce the quantum integrability and quantum chaoticity for individual eigenstates. The inter-relationship between the classical-level and quantum theories of nuclear collective dynamics might play a decisive role in developing the quantum theory of many-body problems.
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Sakata, F. et al. (1992). Toward the Fundamental Theory of Nuclear Matter Physics: The Microscopic Theory of Nuclear Collective Dynamics. In: Abe, Y., Horiuchi, H., Matsuyanagi, K. (eds) New Trends in Nuclear Collective Dynamics. Springer Proceedings in Physics, vol 58. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76379-3_11
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