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
Duration:00:02:11
Introduction to Quantum Mechanics
Duration:00:00:04
Understanding the Quantum World
Duration:00:51:49
Basic Concepts in Quantum Mechanics
Duration:00:49:19
Role of Calculus in Quantum Physics
Duration:01:31:36
Foundations of Calculus
Duration:00:00:03
Differentiation: Limits and Derivatives
Duration:00:03:07
Normalization of Wavefunctions
Duration:00:02:21
Probability Density and its Calculation
Duration:00:02:31
Operators and Observables
Duration:00:00:04
Operators in Quantum Mechanics
Duration:00:02:46
Commutators and their Properties
Duration:00:02:15
Measuring Observables and Eigenvalues
Duration:00:03:30
Schrödinger Equation
Duration:00:00:03
Time-Dependent Schrödinger Equation
Duration:00:03:00
Time-Independent Schrödinger Equation
Duration:00:03:24
Solving the Schrödinger Equation
Duration:00:03:33
Quantum Harmonic Oscillator
Duration:00:00:04
Analyzing the Harmonic Oscillator Potential
Duration:00:03:05
Energy Levels and Wavefunctions
Duration:00:02:50
Quantum Oscillations and Applications
Duration:00:03:57
Particle in a Box
Duration:00:00:03
Confined Particle in an Infinite Potential Well
Duration:00:02:55
Quantization of Energy Levels
Duration:00:02:39
Tunneling Phenomenon
Duration:00:03:03
Quantum Tunneling
Duration:00:00:03
Understanding Tunneling in Quantum Systems
Duration:00:03:14
Calculating Tunneling Probabilities
Duration:00:03:26
Tunneling Applications in Nanotechnology
Duration:00:03:42
Quantum Angular Momentum
Duration:00:00:04
Orbital Angular Momentum
Duration:00:03:13
Spin Angular Momentum
Duration:00:03:18
Addition of Angular Momenta
Duration:00:03:49
Hydrogen Atom and Quantum Numbers
Duration:00:00:04
The Hydrogen Atom Model
Duration:00:03:08
Energy Levels and Spectroscopic Notations
Duration:00:03:29
Quantum Numbers and Atomic Structure
Duration:00:03:37
Time Evolution and Unitary Operators
Duration:00:00:05
Time Evolution of Quantum States
Duration:00:03:44
Unitary Operators and Evolution Operator
Duration:00:05:18
Time-Dependent Perturbation Theory
Duration:00:04:16
Quantum Entanglement
Duration:00:00:03
Understanding Quantum Entanglement
Duration:00:03:58
Bell Inequality and EPR Paradox
Duration:00:04:03
Quantum Information and Applications
Duration:00:04:19
Dirac Notation and Bra-Ket Algebra
Duration:00:00:04
Introduction to Dirac Notation
Duration:00:03:38
Inner Product and Outer Product
Duration:00:03:39
Mathematical Tools for Quantum Calculus
Duration:00:04:04
Heisenberg Uncertainty Principle
Duration:00:00:04
Statement and Interpretation
Duration:00:03:55
Mathematical Formulation
Duration:00:03:48
Applications and Limitations
Duration:00:04:02
Quantum Mechanics in Three Dimensions
Duration:00:00:04
3D Schrödinger Equation
Duration:00:03:29
Central Potentials and Spherical Harmonics
Duration:00:03:39
Hydrogen Atom Revisited
Duration:00:03:52
Quantum Calculus in Quantum Field Theory
Duration:00:00:04
Introduction to Quantum Field Theory
Duration:00:04:05
Quantum Fields and Lagrangian Formulation
Duration:00:04:04
Calculus Techniques in Field Theory
Duration:00:04:32
Quantum Calculus in Quantum Computing
Duration:00:00:04
Quantum Gates and Circuits
Duration:00:03:55
Quantum Algorithms and Complexity
Duration:00:04:05
Quantum Error Correction
Duration:00:03:43
Future Frontiers of Quantum Calculus
Duration:00:00:04
Quantum Mechanics Advancements
Duration:00:04:28
Mathematics in Quantum Information Science
Duration:00:04:31
The Unification of Quantum Theory and General Relativity
Duration:00:04:58
Mathematical Formulas and Identities
Duration:00:00:24
Basic Algebraic Formulas
Duration:00:00:50
Trigonometric Identities
Duration:00:00:43
Calculus Formulas
Duration:00:00:44
Linear Algebra Formulas
Duration:00:00:30
Quantum Mechanics Formulas
Duration:00:00:14
Probability and Statistics Formulas
Duration:00:00:34
Fourier Transform Formulas
Duration:00:00:23
Special Functions
Duration:00:00:17
Complex Analysis Formulas
Duration:00:00:17
Differential Equations
Duration:00:00:53
Wavefunction
Duration:00:00:17
Hamiltonian Operator
Duration:00:00:20
Eigenvalue and Eigenvector
Duration:00:00:22
Quantum Superposition
Duration:00:00:21
Probability Amplitude
Duration:00:00:24
Quantum Measurement
Duration:00:00:19
Quantum Computing
Duration:00:01:02
Foundational Quantum Mechanics
Duration:00:00:44
Quantum Calculus and Mathematical Formulations
Duration:00:00:43
Advanced Quantum Topics
Duration:00:00:42
Online Courses and Lectures
Duration:00:00:38
Research Journals and Publications
Duration:00:01:03
Basic Quantum Mechanics Formulas
Duration:00:00:38
Complex Numbers and Exponentials
Duration:00:00:32
Quantum Mechanics Concepts
Duration:00:03:06