Coherent States and Squeezed States, Supercoherent States and Supersqueezed States

TL;DR

This paper explores various quantum states including coherent, squeezed, supercoherent, and supersqueezed states, focusing on their physical understanding and the role of Grassmann numbers in supersymmetric quantum systems.

Contribution

It introduces a comprehensive program to obtain and understand coherent states for general and supersymmetric systems, including studies of squeezed and supersqueezed states.

Findings

Development of a framework for supersymmetric coherent states

Insights into the role of Grassmann numbers in quantum mechanics

Advancement in understanding physical properties of squeezed states

Abstract

This article reports on a program to obtain and understand coherent states for general systems. Most recently this has included supersymmetric systems. A byproduct of this work has been studies of squeezed and supersqueezed states. To obtain a physical understanding of these systems has always been a primary goal. In particular, in the work on supersymmetry an attempt to understand the role of Grassmann numbers in quantum mechanics has been initiated.