Supercoherent States—An Introduction

Luis Miguel Nieto

Sumiyoshi Abe

Monique Combescure, Didier Robert

Didier Robert, Monique Combescure

In previous Chapters we have considered coherent states systems for bosons and for fermions separately. Here we introduce super-spaces where it is possible to consider simultaneously bosons and fermions. Our aim is to give a short introduction to this deep and difficult subject by considering some elementary examples where coherent states and quantization are involved.

Hao San-Ru, Guanghua Li, LONG JUN-YAN

In this paper, the q-deformed quantum harmonic oscillators in the supersymmetric quantum systems are introduced. The q-supercoherent states associated with the q-deformed supersymmetric quantum harmonic oscillators are constructed explicitly, and their properties are investigated in detail. It is shown that the q-supercoherent states are completeness. The uncertainty relations for q-supercoherent states are discussed as well.