MindMap Gallery Fundamental Theory of Quantum Chemistry
This mind map comprehensively introduces the fundamental theory of quantum chemistry, detailing the mathematical foundations such as the Schrödinger equation and wave function; deeply elaborating the basic principles of quantum mechanics, including quantum states, observations, and the uncertainty principle; and discussing the application of quantum transitions in spectral analysis, providing a solid theoretical foundation for understanding quantum chemical phenomena.
Edited at 2024-12-17 07:20:50In the introduction section, elastin is a protein that plays a crucial role in the body, endowing tissues with elasticity and toughness. Its properties include high elasticity and good ductility. Elastin has a wide range of sources and is commonly found in animal connective tissues such as skin and blood vessels. When using elastin in products, the amount and method of addition should be determined based on the characteristics of the product. It has many uses and can be added to skincare products to enhance skin elasticity and reduce wrinkles; Improving food texture and enhancing taste in the food industry; In the medical field, it can be used to make elastic scaffolds such as artificial blood vessels, providing support for tissue repair. Reasonable use can play its unique value.
This document aims to guide the proper use of proteins. Proteins are the fundamental substances that make up life and are essential for maintaining normal physiological functions in the body, with a wide variety of types. When using protein, daily diet is an important source, such as meat, eggs, etc., which are rich in high-quality protein. Measuring protein intake can be done using professional tools or methods to ensure that the intake meets the body's needs. When mixing protein powder, it should be prepared according to the recommended ratio, and the water temperature should not be too high to avoid damaging the protein activity. Different groups of people have different protein requirements, such as athletes and fitness enthusiasts who can increase their intake appropriately to meet the needs of body repair and muscle growth.
Introduction to Unsaturated Polyester Resin: It is an important thermosetting resin with various excellent properties. It has a wide range of applications and is used in the construction industry to produce fiberglass products such as doors, windows, decorative panels, etc; Used in the automotive industry for manufacturing body components. The advantages of use include simple molding process, low cost, and chemical corrosion resistance. However, it also faces challenges and limitations, such as relatively poor heat resistance and susceptibility to aging. During use, corresponding protective measures should be taken according to specific application scenarios, such as adding heat-resistant agents, antioxidants, etc., to extend their service life and fully leverage their advantages.
In the introduction section, elastin is a protein that plays a crucial role in the body, endowing tissues with elasticity and toughness. Its properties include high elasticity and good ductility. Elastin has a wide range of sources and is commonly found in animal connective tissues such as skin and blood vessels. When using elastin in products, the amount and method of addition should be determined based on the characteristics of the product. It has many uses and can be added to skincare products to enhance skin elasticity and reduce wrinkles; Improving food texture and enhancing taste in the food industry; In the medical field, it can be used to make elastic scaffolds such as artificial blood vessels, providing support for tissue repair. Reasonable use can play its unique value.
This document aims to guide the proper use of proteins. Proteins are the fundamental substances that make up life and are essential for maintaining normal physiological functions in the body, with a wide variety of types. When using protein, daily diet is an important source, such as meat, eggs, etc., which are rich in high-quality protein. Measuring protein intake can be done using professional tools or methods to ensure that the intake meets the body's needs. When mixing protein powder, it should be prepared according to the recommended ratio, and the water temperature should not be too high to avoid damaging the protein activity. Different groups of people have different protein requirements, such as athletes and fitness enthusiasts who can increase their intake appropriately to meet the needs of body repair and muscle growth.
Introduction to Unsaturated Polyester Resin: It is an important thermosetting resin with various excellent properties. It has a wide range of applications and is used in the construction industry to produce fiberglass products such as doors, windows, decorative panels, etc; Used in the automotive industry for manufacturing body components. The advantages of use include simple molding process, low cost, and chemical corrosion resistance. However, it also faces challenges and limitations, such as relatively poor heat resistance and susceptibility to aging. During use, corresponding protective measures should be taken according to specific application scenarios, such as adding heat-resistant agents, antioxidants, etc., to extend their service life and fully leverage their advantages.
Fundamental Theory of Quantum Chemistry
Mathematical Foundations
Linear Algebra
Vectors and Vector Spaces
Basis Sets
Orthogonality
Matrices and Operators
Eigenvalues and Eigenvectors
Hermitian Operators
Differential Equations
Ordinary Differential Equations (ODEs)
TimeIndependent Schrödinger Equation
Partial Differential Equations (PDEs)
TimeDependent Schrödinger Equation
Complex Analysis
Complex Numbers
Imaginary Unit
Complex Functions
Contour Integration
Residue Theorem
Postulates of Quantum Mechanics
Wave Function
Probability Interpretation
Normalization Condition
Observables and Operators
Eigenvalue Equations
Commutation Relations
Measurement and Collapse
Superposition Principle
Collapse of the Wave Function
Time Evolution
Schrödinger Picture
Heisenberg Picture
Quantum Dynamics
TimeIndependent Perturbation Theory
NonDegenerate Perturbation
Degenerate Perturbation
TimeDependent Perturbation Theory
Transition Probabilities
Fermi's Golden Rule
Scattering Theory
Born Approximation
Partial Wave Analysis
Approximation Methods
Variational Principle
Trial Wave Functions
Energy Minimization
Perturbation Theory
RayleighSchrödinger Perturbation
WKB Approximation
Density Functional Theory (DFT)
HohenbergKohn Theorems
ExchangeCorrelation Functionals
Molecular Structure and Spectroscopy
Electronic Structure of Atoms
Atomic Orbitals
Electron Configurations
Molecular Orbital Theory
BornOppenheimer Approximation
LCAOMO Method
Spectroscopic Selection Rules
Electronic Transitions
Vibrational and Rotational Spectra
Chemical Bonding
Valence Bond Theory
Hybridization
Resonance
Molecular Orbital Theory
Bonding and Antibonding Orbitals
Delocalization and Aromaticity
Computational Chemistry
Quantum Chemical Calculations
Basis Sets and Basis Set Superposition Error (BSSE)
Advanced Topics
Relativistic Quantum Chemistry
Dirac Equation
SpinOrbit Coupling
Quantum Field Theory in Chemistry
Second Quantization
Green's Functions
Quantum Information and Computing
Qubits and Quantum Gates
Quantum Algorithms in Chemistry