A Handbook of Calculus in Quantum Mechanics
N.B. Singh
This audiobook is narrated by a digital voice.
"A Handbook of Calculus in Quantum Mechanics" is a comprehensive introductory guide designed specifically for absolute beginners with little to no mathematical background in quantum mechanics. This concise yet thorough handbook navigates readers through the fundamental concepts of calculus within the context of quantum mechanics, offering clear explanations and practical examples to facilitate understanding. From essential differential and integral calculus formulas to their application in solving problems in quantum mechanics, this book provides a solid foundation for readers to grasp the mathematical tools essential for exploring the intriguing world of quantum phenomena. Whether you're a student, researcher, or enthusiast, this accessible handbook equips you with the necessary knowledge to embark on your quantum journey with confidence and clarity.
Duration - 6h 29m.
Author - N.B. Singh.
Narrator - Digital Voice Mary G.
Published Date - Monday, 20 January 2025.
Copyright - © 2024 N.B. Singh ©.
Location:
United States
Description:
This audiobook is narrated by a digital voice. "A Handbook of Calculus in Quantum Mechanics" is a comprehensive introductory guide designed specifically for absolute beginners with little to no mathematical background in quantum mechanics. This concise yet thorough handbook navigates readers through the fundamental concepts of calculus within the context of quantum mechanics, offering clear explanations and practical examples to facilitate understanding. From essential differential and integral calculus formulas to their application in solving problems in quantum mechanics, this book provides a solid foundation for readers to grasp the mathematical tools essential for exploring the intriguing world of quantum phenomena. Whether you're a student, researcher, or enthusiast, this accessible handbook equips you with the necessary knowledge to embark on your quantum journey with confidence and clarity. Duration - 6h 29m. Author - N.B. Singh. Narrator - Digital Voice Mary G. Published Date - Monday, 20 January 2025. Copyright - © 2024 N.B. Singh ©.
Language:
English
Preface
Duración:00:02:11
Introduction to Quantum Mechanics
Duración:00:00:04
Understanding the Quantum World
Duración:00:51:49
Basic Concepts in Quantum Mechanics
Duración:00:49:19
Role of Calculus in Quantum Physics
Duración:01:31:36
Foundations of Calculus
Duración:00:00:03
Differentiation: Limits and Derivatives
Duración:00:03:07
Normalization of Wavefunctions
Duración:00:02:21
Probability Density and its Calculation
Duración:00:02:31
Operators and Observables
Duración:00:00:04
Operators in Quantum Mechanics
Duración:00:02:46
Commutators and their Properties
Duración:00:02:15
Measuring Observables and Eigenvalues
Duración:00:03:30
Schrödinger Equation
Duración:00:00:03
Time-Dependent Schrödinger Equation
Duración:00:03:00
Time-Independent Schrödinger Equation
Duración:00:03:24
Solving the Schrödinger Equation
Duración:00:03:33
Quantum Harmonic Oscillator
Duración:00:00:04
Analyzing the Harmonic Oscillator Potential
Duración:00:03:05
Energy Levels and Wavefunctions
Duración:00:02:50
Quantum Oscillations and Applications
Duración:00:03:57
Particle in a Box
Duración:00:00:03
Confined Particle in an Infinite Potential Well
Duración:00:02:55
Quantization of Energy Levels
Duración:00:02:39
Tunneling Phenomenon
Duración:00:03:03
Quantum Tunneling
Duración:00:00:03
Understanding Tunneling in Quantum Systems
Duración:00:03:14
Calculating Tunneling Probabilities
Duración:00:03:26
Tunneling Applications in Nanotechnology
Duración:00:03:42
Quantum Angular Momentum
Duración:00:00:04
Orbital Angular Momentum
Duración:00:03:13
Spin Angular Momentum
Duración:00:03:18
Addition of Angular Momenta
Duración:00:03:49
Hydrogen Atom and Quantum Numbers
Duración:00:00:04
The Hydrogen Atom Model
Duración:00:03:08
Energy Levels and Spectroscopic Notations
Duración:00:03:29
Quantum Numbers and Atomic Structure
Duración:00:03:37
Time Evolution and Unitary Operators
Duración:00:00:05
Time Evolution of Quantum States
Duración:00:03:44
Unitary Operators and Evolution Operator
Duración:00:05:18
Time-Dependent Perturbation Theory
Duración:00:04:16
Quantum Entanglement
Duración:00:00:03
Understanding Quantum Entanglement
Duración:00:03:58
Bell Inequality and EPR Paradox
Duración:00:04:03
Quantum Information and Applications
Duración:00:04:19
Dirac Notation and Bra-Ket Algebra
Duración:00:00:04
Introduction to Dirac Notation
Duración:00:03:38
Inner Product and Outer Product
Duración:00:03:39
Mathematical Tools for Quantum Calculus
Duración:00:04:04
Heisenberg Uncertainty Principle
Duración:00:00:04
Statement and Interpretation
Duración:00:03:55
Mathematical Formulation
Duración:00:03:48
Applications and Limitations
Duración:00:04:02
Quantum Mechanics in Three Dimensions
Duración:00:00:04
3D Schrödinger Equation
Duración:00:03:29
Central Potentials and Spherical Harmonics
Duración:00:03:39
Hydrogen Atom Revisited
Duración:00:03:52
Quantum Calculus in Quantum Field Theory
Duración:00:00:04
Introduction to Quantum Field Theory
Duración:00:04:05
Quantum Fields and Lagrangian Formulation
Duración:00:04:04
Calculus Techniques in Field Theory
Duración:00:04:32
Quantum Calculus in Quantum Computing
Duración:00:00:04
Quantum Gates and Circuits
Duración:00:03:55
Quantum Algorithms and Complexity
Duración:00:04:05
Quantum Error Correction
Duración:00:03:43
Future Frontiers of Quantum Calculus
Duración:00:00:04
Quantum Mechanics Advancements
Duración:00:04:28
Mathematics in Quantum Information Science
Duración:00:04:31
The Unification of Quantum Theory and General Relativity
Duración:00:04:58
Mathematical Formulas and Identities
Duración:00:00:24
Basic Algebraic Formulas
Duración:00:00:50
Trigonometric Identities
Duración:00:00:43
Calculus Formulas
Duración:00:00:44
Linear Algebra Formulas
Duración:00:00:30
Quantum Mechanics Formulas
Duración:00:00:14
Probability and Statistics Formulas
Duración:00:00:34
Fourier Transform Formulas
Duración:00:00:23
Special Functions
Duración:00:00:17
Complex Analysis Formulas
Duración:00:00:17
Differential Equations
Duración:00:00:53
Wavefunction
Duración:00:00:17
Hamiltonian Operator
Duración:00:00:20
Eigenvalue and Eigenvector
Duración:00:00:22
Quantum Superposition
Duración:00:00:21
Probability Amplitude
Duración:00:00:24
Quantum Measurement
Duración:00:00:19
Quantum Computing
Duración:00:01:02
Foundational Quantum Mechanics
Duración:00:00:44
Quantum Calculus and Mathematical Formulations
Duración:00:00:43
Advanced Quantum Topics
Duración:00:00:42
Online Courses and Lectures
Duración:00:00:38
Research Journals and Publications
Duración:00:01:03
Basic Quantum Mechanics Formulas
Duración:00:00:38
Complex Numbers and Exponentials
Duración:00:00:32
Quantum Mechanics Concepts
Duración:00:03:06