Pictures of quantum nuclear rotation beyond the correspondence principle

Abstract

Abstract. We analyze the time evolution of simple nuclear rotational wave packets (WP) called circular, linear or elliptic, depending on squeezing parameter η, assuming that E =hω0 I(I +1). The scenario of fractional revivals found by Averbukh and Perelman is adapted to symmetric WP and compared to that which holds for asymmetric WP. In both cases various shapes are identified under these lines in particular many cases of cloning. 'Mutants' WP are found most often. Finally the time evolution of a WP formed by Coulomb excitation on 238 U and calculated by semiclassical theory is also presented.

Wave function for the squeezed atomic coherent state in entangled state representation and some of its applications

“…[9−11] For instance, Ocak and Altanhan [9] used the SACS, which are defined through the spin operator representation in a differential equation giving quantum mechanical potentials, to study a spin system describing a magnetic system with the spin value S = 1. Arvieu and Rozmej [10] emphasized that the SACS can describe the rotation of quantum simple systems like rigid diatomic molecules or rigid nuclei. In addition, the SACS also has some potential applications in spintronics, [12] quantum information, [13] and quantum computation.…”