Full text
| |
| Author(s): |
Adriano Grigolo
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin |
| Defense date: | 2017-05-08 |
| Examining board members: |
Marcus Aloizio Martinez de Aguiar;
Alfredo Miguel Ozório de Almeida;
Marcel Novaes;
Amir Ordacgi Caldeira;
Ricardo Luís Doretto
|
| Advisor: | Marcus Aloizio Martinez de Aguiar |
| Abstract | |
A generalized version of the coupled coherent states method for coherent states of arbitrary Lie groups is developed. In contrast to the original approach, which is restricted to frozen-Gaussian basis sets, the extended method is suitable for propagating quantum states of systems featuring non-classical physical properties, such as spin degrees of freedom or particle interchange symmetry. The formulation for the relevant case of number-conserving systems of interacting identical particles, most adequately described in terms of coherent states of the special unitary group, is studied in detail. The technique is illustrated with applications to simple Hubbard-like models for both bosons and fermions. Several aspects of the numerical implementation are discussed (AU) | |
| FAPESP's process: | 11/20065-4 - Semiclassical dynamics of multidimensional systems and initial value representations |
| Grantee: | Adriano Grigolo |
| Support Opportunities: | Scholarships in Brazil - Doctorate |