  Even as we understand for long that the world is quantal and buried in it is
classical dynamics which is chaotic, finding eigenfunctions analytically from
the the Schroedinger equation has turned out to be a near-impossibility. Here,
we discover a class of chaotic quantum systems for which we obtain some
analytically exact eigenfunctions in closed form. This paves way to an exact
classical and quantum mechanical treatment of chaotic systems. Furthermore, we
bring out connections, underlying the discovery, between different areas of
physics and mathematics related to universality in fluctuations observed in a
wide variety of complex quantum systems.
