```
Viennot, David.
```*Geometry of quantum active subspaces and of effective Hamiltonians*. United States: N. p., 2007.
Web. doi:10.1063/1.2723552.

```
Viennot, David.
```*Geometry of quantum active subspaces and of effective Hamiltonians*. United States. doi:10.1063/1.2723552.

```
Viennot, David. Tue .
"Geometry of quantum active subspaces and of effective Hamiltonians". United States.
doi:10.1063/1.2723552.
```

```
@article{osti_20929699,
```

title = {Geometry of quantum active subspaces and of effective Hamiltonians},

author = {Viennot, David},

abstractNote = {We propose a geometric formulation of the theory of effective Hamiltonians associated with active spaces. We analyze particularly the case of the time-dependent wave operator theory. This formulation is related to the geometry of the manifold of the active spaces, particularly to its Kaehlerian structure. We introduce the concept of quantum distance between active spaces. We show that the time-dependent wave operator theory is, in fact, a gauge theory, and we analyze its relationship with the geometric phase concept.},

doi = {10.1063/1.2723552},

journal = {Journal of Mathematical Physics},

number = 5,

volume = 48,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}