Solvable one-dimensional multi-state models for statistical and quantum mechanics / Rajendran Saravanan, Aniruddha Chakraborty.

Format:

Book

Author/Creator:

Saravanan, Rajendran, author.

Cakrabartī, Aniruddha, 1976- author.

Language:

English

Subjects (All):

Statistical mechanics.

Quantum statistics.

Genre:

Electronic books.

Physical Description:

1 online resource (xix, 174 pages) : illustrations (some color)

Place of Publication:

Singapore : Springer, 2021.

System Details:

text file

Summary:

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.

Contents:

Chapter 1. Introduction

Chapter 2. Mathematical methods for solving multi-state Smoluchowski equations

Chapter 3. Investigation of Wave packet dynamics using the presented time-domain method

Chapter 4. Summary & future scope

References.

Notes:

Includes bibliographical references and index.

Online resource; title from PDF title page (SpringerLink, viewed November 22, 2021).

ISBN:

9789811666544

9811666547

OCLC:

1285941871

Access Restriction:

Restricted for use by site license.