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

Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics
Author :
Publisher : Springer Nature
Total Pages : 186
Release :
ISBN-10 : 9789811666544
ISBN-13 : 9811666547
Rating : 4/5 (547 Downloads)

Book Synopsis Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics by : Rajendran Saravanan

Download or read book Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics written by Rajendran Saravanan and published by Springer Nature. This book was released on 2021-11-14 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.​


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

Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics
Language: en
Pages: 186
Authors: Rajendran Saravanan
Categories: Science
Type: BOOK - Published: 2021-11-14 - Publisher: Springer Nature

GET EBOOK

This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about rece
Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics
Language: en
Pages: 0
Authors: Rajendran Saravanan
Categories:
Type: BOOK - Published: 2021 - Publisher:

GET EBOOK

This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about rece
Exactly Solved Models in Statistical Mechanics
Language: en
Pages: 514
Authors: Rodney J. Baxter
Categories: Science
Type: BOOK - Published: 2007-01-01 - Publisher: Courier Corporation

GET EBOOK

Exploration of two-dimensional lattice models examines basic statistical mechanics, Ising models, spherical models, ice-type models, corner transfer matrices, a
Quasi-Exactly Solvable Models in Quantum Mechanics
Language: en
Pages: 480
Authors: A.G Ushveridze
Categories: Science
Type: BOOK - Published: 2017-07-12 - Publisher: CRC Press

GET EBOOK

Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the
Exactly Solvable Models of Strongly Correlated Electrons
Language: en
Pages: 506
Authors: Vladimir E. Korepin
Categories: Technology & Engineering
Type: BOOK - Published: 1994 - Publisher: World Scientific

GET EBOOK

Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c sup