We excite and manipulate wave packets in the Rydberg states of atomic calcium. The manipulation is via the electron-electron correlations between a core electron and the Rydberg electron and mediated by a strong excitation of the core transition. Striking changes in the wave packet are observed particularly when the Rabi oscillations of the core transition are synchronized with the natural, classical oscillation frequency of the Rydberg wave packet. In that case, the wave packet is shaped into a form that inhibits decay or autoionization as demonstrated by a coherent probe of the resulting wave packet. This work impacts on both coherent control and quantum measurement studies. [S0031-9007(98)08062-4] PACS numbers: 32.80.Qk, 32.80.Dz, 32.80.Rm We have observed the formation of a nondecaying wave packet. A Rydberg electronic wave packet was excited in atomic calcium and further manipulated via a strong core excitation into this nondecaying form.The creation, control, and measurement of wave packets are central topics in a broad range of research areas. Specially designed wave packets have been proposed (and to a lesser extent implemented) to control key processes in atomic [1], molecular [2], and solid state systems [3]. Such wave packets also play a significant role in understanding measurement aspects of quantum mechanics [4,5].Wave packets are nonstationary states that are phased superpositions of highly excited atomic eigenstates. Among the simplest of these to excite is the radially localized wave packet. These are routinely created by short pulse excitation in a single-electron atom that produces a superposition of states with different principal quantum numbers (n). A typical distribution is Gaussian with a FWHM of seven states centered on an average n ofn 50. On a short time scale, these wave packets demonstrate nearly classical behavior [6]. That is, the radial wave packet oscillates at the classical period, t cl 2pn 3 , between the inner and outer turning point of the classical electron's orbit. At longer times, quantum mechanics plays a distinct role and the wave packet disperses and displays a regular interference pattern that contains both fractional [7] and full revivals [8] of the wave packet. Recently, radially localized wave packets in two-electron systems have been excited that demonstrate nearly identical temporal behavior [9].In this paper, we control the behavior of a radially localized wave packet in a two-electron system by driving the remaining, correlated valence electron. One of the valence electrons is excited by a short pulse to a radially localized wave packet state. The remaining core electron is driven so that it oscillates between its ground state and its first excited state. The states of this core electron are much like the states of the singly ionized atom or like that of a single electron atom so that this type of excitation is described as an isolated core excitation (ICE) [10]. When the core electron is in the ground state the two-electron system is bound. In contrast, if th...