Solvable One-Dimensional Multi-State Models for Statistical and Quantum Mechanics (eBook)
eBook Download:
PDF
2021
|
1st ed. 2021
XIX, 174 Seiten
Springer Singapore (Verlag)
978-981-16-6654-4 (ISBN)
XIX, 174 Seiten
Springer Singapore (Verlag)
978-981-16-6654-4 (ISBN)
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.?
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.?
Dr. Rajendran Saravanan received his PhD in physics from the Indian Institute of Technology Mandi, India. His research interests include mathematical physics, theoretical chemical physics, econophysics, etc. Currently he is persuing his postdoc under Prof. Raphael D Levine at the University of Jerusalem, Israel.?
Dr. Aniruddha Chakraborty obtained his Ph.D. in physical chemistry from the Indian Institute of Science, Bangalore. Having done his postdoc from the University of Oregon, currently he is an associate professor at Indian Institute of Technology Mandi. His research interests include almost all areas of theoretical physics, mainly focused on understanding chemical physics problems.
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.?
| Erscheint lt. Verlag | 14.11.2021 |
|---|---|
| Zusatzinfo | XIX, 174 p. 94 illus., 44 illus. in color. |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Statistik | |
| Naturwissenschaften ► Chemie | |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Born-Oppenheimer Surfaces • Coupled Two-State Problems • Diffusion Systems • Electron Transfer • Fokker-Planck Equation • Gaussian Wave Packets • Harmonic oscillator • Libby’s Theory • Non-Equilibrium Systems • Oster-Nishijima Model • reaction-diffusion models • Single State Models • Smoluchowski Equations • Wave Packet Dynamics |
| ISBN-10 | 981-16-6654-7 / 9811666547 |
| ISBN-13 | 978-981-16-6654-4 / 9789811666544 |
| Haben Sie eine Frage zum Produkt? |
PDF (Wasserzeichen)Größe: 6,7 MB
DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasserzeichen und ist damit für Sie personalisiert. Bei einer missbräuchlichen Weitergabe des eBooks an Dritte ist eine Rückverfolgung an die Quelle möglich.
Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.
Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.
Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.
Mehr entdecken
aus dem Bereich
aus dem Bereich
Trigonometrie, Analytische Geometrie, Algebra, Wahrscheinlichkeit
eBook Download (2024)
De Gruyter (Verlag)
CHF 92,75
Angewandte Analysis im Bachelorstudium
eBook Download (2022)
Carl Hanser Verlag GmbH & Co. KG
CHF 34,15
