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Introduction To Time Dependent Quantum Mechanics With Python


Introduction To Time Dependent Quantum Mechanics With Python
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Introduction To Time Dependent Quantum Mechanics With Python


Introduction To Time Dependent Quantum Mechanics With Python
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Author : Atanu Bhattacharya
language : en
Publisher: World Scientific
Release Date : 2023-10-18

Introduction To Time Dependent Quantum Mechanics With Python written by Atanu Bhattacharya and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-18 with Science categories.


Computational spectroscopy and computational quantum chemical dynamics is a vast field in physical chemistry. Significant part of this field is developed based on the concepts of time-dependent quantum mechanics and its numerical implementations.This book gives an introduction to the Time-Dependent Quantum Chemistry for use with any introductory college/university course in optics, spectroscopy, kinetics, dynamics, or experimental physical chemistry or chemical physics of the kind usually taken by undergraduate and graduate students in physical chemistry. In this book, different concepts of time-dependent quantum mechanics are systematically presented by first giving emphasis on the contrasting viewpoint of classical and quantum mechanical motion of a particle, then by demonstrating the ways to find classical flavour in quantum dynamics, thereafter by formally defining the wavepacket which represents a quantum particle and finally by demonstrating numerical methods to explore the wavepacket dynamics in one dimension. Along with the analytical theory, accompanying Python chapters in this book take readers to a hands-on tour with Python programming by first giving them a quick introduction to the Python programming, then by introducing the position-space grid representation of the wavefunction, thereafter, by making them familiarized with the Fourier transform to represent the discretized wavefunction in momentum space, subsequently by showing the Python-based methodologies to express Hamiltonian operator in matrix form and finally by demonstrating the entire Python program which solves the wavepacket dynamics in one dimension under influence of time-independent Hamiltonian following split-operator approach.Rigorous class-testing of the presented lecture notes at the Indian Institute of Science, GITAM University and at NPTEL platform reveals that physical chemistry students, after thoroughly going through all chapters, not only develop an in-depth understanding of the wavepacket dynamics and its numerical implementations, but also start successfully writing their own Python code for solving any one dimensional wavepacket dynamics problem.



Introduction To Time Dependent Quantum Mechanics With Python


Introduction To Time Dependent Quantum Mechanics With Python
DOWNLOAD
Author : Atanu Bhattacharya
language : en
Publisher: World Scientific Publishing Company
Release Date : 2023-10-18

Introduction To Time Dependent Quantum Mechanics With Python written by Atanu Bhattacharya and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-18 with Science categories.


Computational spectroscopy and computational quantum chemical dynamics is a vast field in physical chemistry. Significant part of this field is developed based on the concepts of time-dependent quantum mechanics and its numerical implementations. This book gives an introduction to the Time-Dependent Quantum Chemistry for use with any introductory college/university course in optics, spectroscopy, kinetics, dynamics, or experimental physical chemistry or chemical physics of the kind usually taken by undergraduate and graduate students in physical chemistry. In this book, different concepts of time-dependent quantum mechanics are systematically presented by first giving emphasis on the contrasting viewpoint of classical and quantum mechanical motion of a particle, then by demonstrating the ways to find classical flavour in quantum dynamics, thereafter by formally defining the wavepacket which represents a quantum particle and finally by demonstrating numerical methods to explore the wavepacket dynamics in one dimension. Along with the analytical theory, accompanying Python chapters in this book take readers to a hands-on tour with Python programming by first giving them a quick introduction to the Python programming, then by introducing the position-space grid representation of the wavefunction, thereafter, by making them familiarized with the Fourier transform to represent the discretized wavefunction in momentum space, subsequently by showing the Python-based methodologies to express Hamiltonian operator in matrix form and finally by demonstrating the entire Python program which solves the wavepacket dynamics in one dimension under influence of time-independent Hamiltonian following split-operator approach. Rigorous class-testing of the presented lecture notes at the Indian Institute of Science, GITAM University and at NPTEL platform reveals that physical chemistry students, after thoroughly going through all chapters, not only develop an in-depth understanding of the wavepacket dynamics and its numerical implementations, but also start successfully writing their own Python code for solving any one dimensional wavepacket dynamics problem.



Visualizing Quantum Mechanics With Python


Visualizing Quantum Mechanics With Python
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Author : Steve Spicklemire
language : en
Publisher: CRC Press
Release Date : 2024-06-05

Visualizing Quantum Mechanics With Python written by Steve Spicklemire and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-05 with Science categories.


Quantum Mechanics can be an abstract and complex subject. Students often complain of confusion, struggle, and frustration as they try to master the topic. The goal of this book is to reduce the complexity and clarify the abstractions with concrete visual examples driven by simple python programs. It is assumed that the reader is concurrently taking a course in quantum mechanics, or self-studying quantum mechanics, but is looking for supplementary material to help with understanding and visualizing how quantum mechanics works. The focus of this book is writing python programs to visualize the underlying behavior of the mathematical theory. The background needed to understand quantum mechanics is differential equations, linear algebra and modern physics. We need a strong foundation in differential equations and linear algebra because the behavior of quantum systems is governed by equations that are written in terms of these concepts. Modern physics includes concepts such as special relativity and quantum phenomena like the photoelectric effect and energy quantization that the theory of quantum mechanics seeks to explain. This book is also not an introduction to the python programming language, or to numpy, or even to VPython. However its programming examples start simply and grow more complex as the chapters progress, so deep expertise in any of these is not a pre-requisite. Key features: · Provides an accessible and practical guide to the abstractions in quantum mechanics with concrete visual examples driven by simple python programs. · Contains few derivations, equations, and proofs. · For complete beginners of python programming, appendix B serves as a very brief introduction to the main concepts needed to understand the code in this book. Dr. Stephen Spicklemire is Associate Professor of Physics at the University of Indianapolis, USA. He has been teaching physics at the University of Indianapolis for more than 30 years. From the implementation of "flipped" physics class to the modernization of scientific computing and laboratory instrumentation courses, he has brought the strengths of his background in physics, engineering and computer science into the classroom. Dr. Spicklemire also does IT and engineering consulting. He is an active participant in several national research initiatives relating to improving physics education. These range from improving materials to help students prepare for class, to supporting students success through standards based grading. He is an active developer of the VPython and WebVPython projects and a contributor to the Matter and Interactions textbook.



Time Dependent Quantum Mechanics And Spectroscopy


Time Dependent Quantum Mechanics And Spectroscopy
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Author : Andrei Tokmako
language : en
Publisher:
Release Date :

Time Dependent Quantum Mechanics And Spectroscopy written by Andrei Tokmako and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Computational Modeling And Visualization Of Physical Systems With Python


Computational Modeling And Visualization Of Physical Systems With Python
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Author : Jay Wang
language : en
Publisher: John Wiley & Sons
Release Date : 2015-12-21

Computational Modeling And Visualization Of Physical Systems With Python written by Jay Wang and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-21 with Science categories.


Computational Modeling, by Jay Wang introduces computational modeling and visualization of physical systems that are commonly found in physics and related areas. The authors begin with a framework that integrates model building, algorithm development, and data visualization for problem solving via scientific computing. Through carefully selected problems, methods, and projects, the reader is guided to learning and discovery by actively doing rather than just knowing physics.



Geometry Of The Time Dependent Variational Principle In Quantum Mechanics


Geometry Of The Time Dependent Variational Principle In Quantum Mechanics
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Author : P. Kramer
language : en
Publisher:
Release Date : 2014-01-15

Geometry Of The Time Dependent Variational Principle In Quantum Mechanics written by P. Kramer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Quantum Mechanics For Engineers And Material Scientists An Introduction


Quantum Mechanics For Engineers And Material Scientists An Introduction
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Author : M P Anantram (Anant)
language : en
Publisher: World Scientific
Release Date : 2024-01-16

Quantum Mechanics For Engineers And Material Scientists An Introduction written by M P Anantram (Anant) and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-16 with Science categories.


This introductory book is aimed at students of engineering and material science who want to learn the necessary toolboxes of practical quantum mechanics. The authors have made sure that all the calculations are complete, and they have avoided the usage of the familiar phrase, 'it can be easily shown' while being mathematically rigorous. Knowledge of the sophomore level introduction to ordinary differential equations is all that is needed. Well-designed and modern examples help the reader grasp and digest the concept before moving to the next one. The book offers a lucid exposition to the modern field of quantum computing and quantum gates, two-level systems, orbitals, spin, periodic solids, tunneling, and Fermi golden rule. The basics of electronic and optical properties of nanomaterials using the basics of quantum mechanics are presented without the reader getting lost in research articles with different notations and units.There are numerous examples in the book covering topics such as carbon nanotubes, graphene, superconducting qubits, principle of scanning tunneling microscopy, heterostructure based terahertz generation and negative differential resistance device, quantized LC circuit, Grover's search algorithm, phase kickback, quantum dots, well, nanowires, quantum of conductance, ballistic conductor, spin-orbit coupling, and spin transistor. Authors use analogies based on familiar engineering concepts wherever possible to broaden the view of the reader. The philosophy behind the book is teaching by showing how it is done and using 'pictures' which is worth 1000 words.



Computational Quantum Mechanics


Computational Quantum Mechanics
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Author : Joshua Izaac
language : en
Publisher: Springer
Release Date : 2019-02-15

Computational Quantum Mechanics written by Joshua Izaac and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-15 with Science categories.


Quantum mechanics undergraduate courses mostly focus on systems with known analytical solutions; the finite well, simple Harmonic, and spherical potentials. However, most problems in quantum mechanics cannot be solved analytically. This textbook introduces the numerical techniques required to tackle problems in quantum mechanics, providing numerous examples en route. No programming knowledge is required – an introduction to both Fortran and Python is included, with code examples throughout. With a hands-on approach, numerical techniques covered in this book include differentiation and integration, ordinary and differential equations, linear algebra, and the Fourier transform. By completion of this book, the reader will be armed to solve the Schrödinger equation for arbitrarily complex potentials, and for single and multi-electron systems.



An Introduction To Computational Physics


An Introduction To Computational Physics
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Author : Tao Pang
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-19

An Introduction To Computational Physics written by Tao Pang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-19 with Computers categories.


This advanced textbook provides an introduction to the basic methods of computational physics.



Introduction To Random Time And Quantum Randomness New Edition


Introduction To Random Time And Quantum Randomness New Edition
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Author : Kai Lai Chung
language : en
Publisher: World Scientific
Release Date : 2003-05-28

Introduction To Random Time And Quantum Randomness New Edition written by Kai Lai Chung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-28 with Mathematics categories.


This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown.In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested.