Progress of Theoretical Physics
Application of the Canonical Theory of Mixed State to the Description of Bound State of the Nucleus. II: Schematic Model and Physical Ingredients of Constraints
A. Kuriyama, João da Providência, M. Yamamura
Abstract
The theory developed in Part I of this series of papers is adapted to a schematic model, the Lipkin model. In this case, we can introduce a set of canonical variables satisfying automatically the constraints and obtain an exact boson representation of the Lipkin model after a canonical quantization. However, when the constraints themselves are also quantized, the physical ingredients of the constraints are revealed under a completely different perspective.