Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics

Language: English

Published by Springer Verlag, Singapore, SG, 2021

9811666539 / 9789811666537

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This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about recently solved models of statistical and quantum mechanics is drawn along with presenting the methods developed to solve them. The models are relevant in the context of molecular processes taking place in gaseous phases and condensed phases, emphasized in the introduction. Chapter 1 derives the arisal of multi-state models for molecular processes from the full Hamiltonian description. The model equations are introduced and the literature review presented in short. In Chapter 2, the time-domain methods to solve Smoluchowski-based reaction-diffusion systems with single-state and two-state descriptions are discussed. Their corresponding analytical results derive new equilibrium concepts in reversible reactions and studies the effect of system and molecular parameters in condensed-phase chemical dynamics. In Chapter 3, time-domain methods to solve quantum scattering problems are developed. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum two-state models. In interest with electronic transitions, a new solvable two-state model with localized non-adiabatic coupling is also presented. The book concludes by proposing the future scope of the model, thereby inviting new research in this fundamentally important and rich applicable field..…

Title
Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics
Author
Rajendran Saravanan, Aniruddha Chakraborty
Publisher
Springer Verlag, Singapore, SG
Publication year
2021
Condition
New
Binding
Hardback
Language
English
ISBN 10
9811666539
ISBN 13
9789811666537
Edition
2021 ed.

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