Relationship between the semiclassical and the generator coordinate methods

Using a very simple type of wave packet, which is obtained by letting unitary displacement operators having as generators canonical operators Q-^ and P-^ in the many-body Hilbert space act on a reference state, we investigate the relationship between the semiclassical and the generator coordinate methods. The semiclassical method is based on the time-dependent variational principle, whereas in the generator coordinate method the wave packets are taken as generator states. To establish the equivalence of the two methods, we examine in detail, using tools developed in previous works, the concept of redundancy of the wave packet and the importance of the zero-point energy effects. We make a numerical application to the case of the Goldhaber-Teller mode in ⁴He.

[NUCLEAR STRUCTURE Relationship between the semiclassical and the generator coordinate methods. Redundancy and zero-point energy effects. Numerical application to the Goldhaber-Teller mode in ⁴He.]