TY - CHAP

T1 - Introduction

AU - Kam, Chon Fai

AU - Zhang, Wei Min

AU - Feng, Da Hsuan

N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2023

Y1 - 2023

N2 - This chapter serves two purposes. First, it provides a history of how the concept of coherent states was germinated and who made some of the most fundamental theoretical developments in the twentieth century. Second, it outlines the most important outcome of these developments was how the underlying mathematical structure of coherent states is a branch of mathematics known as Lie groups and Lie algebras. Utilizing the coherent state concept, and leveraging the mathematical structures usability, a plethora of physical applications, such as quantum phase transitions and quantum chaos, is discussed in later chapters.

AB - This chapter serves two purposes. First, it provides a history of how the concept of coherent states was germinated and who made some of the most fundamental theoretical developments in the twentieth century. Second, it outlines the most important outcome of these developments was how the underlying mathematical structure of coherent states is a branch of mathematics known as Lie groups and Lie algebras. Utilizing the coherent state concept, and leveraging the mathematical structures usability, a plethora of physical applications, such as quantum phase transitions and quantum chaos, is discussed in later chapters.

UR - http://www.scopus.com/inward/record.url?scp=85159949292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85159949292&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-20766-2_1

DO - 10.1007/978-3-031-20766-2_1

M3 - Chapter

AN - SCOPUS:85159949292

T3 - Lecture Notes in Physics

SP - 1

EP - 3

BT - Lecture Notes in Physics

PB - Springer Science and Business Media Deutschland GmbH

ER -