Tunneling States

Toshitake Kohmura, M. Maruyama, Yukio Hashimoto

We formulate the nuclear collective tunneling transition from one Hartree state to another, consistently with the Hartree states. A Hamiltonian effective for the collective tunneling as well as for Hartree states is obtained with the parameters determined by the Hartree calculations. A real-time description for the tunneling is proposed. It is shown that a nuclear system governed by the Hamiltonian symmetric between two Hartree states collectively tunnels back and forth between the two states owing to the residual interaction, so that the system makes harmonic tunneling oscillations. While a crowd of quantum fluctuations coherently shifts back and forth in phase with the tunneling oscillations of the center of mass of two wave packets, the symmetric nuclear system retains the energy for the harmonic tunneling oscillations. The collective tunneling transitions are analyzed in an adiabatic approximation.

Takahiro Tanaka

We consider fundamental problems on the understanding of the tunneling phenomena in the context of the multi-dimensional wave function. In this paper, we reconsider the quantum state after tunneling and extend our previous formalism to the case when the quantum state before tunneling is in a squeezed state. Through considering this problem, we reveal that the quantum decoherence plays a crucial role to allow us of the concise description of the quantum state after tunneling.

Zhuangqi Cao, Cheng Yin

Takahiro Tanaka

We consider fundamental problems on the understanding of the tunneling phenomena in the context of the multi-dimensional wave function. In this paper, we reconsider the quantum state after tunneling and extend our previous formalism to the case when the quantum state before tunneling is in a squeezed state. Through considering this problem, we reveal that the quantum decoherence plays a crucial role to allow us of the concise description of the quantum state after tunneling.

Joshua Jortner, Bernard Pullman