Home

About
Privacy
Disclaimer

Graph Chatbot

Search Results

Bloch theorem

Concept

In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves modulated by periodic functions. The theorem is named after the physicist Felix Bloch, who discovered the theorem in 1929. Mathematically, they are written where is position, is the wave function, is a periodic function with the same periodicity as the crystal, the wave vector is the crystal momentum vector, is Euler's number, and is the imaginary unit.

Publication

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

Florian Paul Robert Maurin

Bloch theorem is useful for analyzing wave propagation in periodic systems. It has been widely used to determine the energy bands of various translationally-periodic crystals and with the advent of nanoscale structures like nanotubes, it has been extended ...

Elsevier2016

Publication

Bloch Theorem With Revised Boundary Conditions Applied To Glide Plane And Screw Axis Symmetric, Quasi-One-Dimensional Structures

Alessandro Spadoni, Florian Paul Robert Maurin

Bloch theorem provides a useful tool to analyze wave propagation in periodic systems. It has been widely used in physics to obtain the energy bands of various translationally-periodic cristals and with the advent of nanosciences like nanotubes, it has been ...

Int Center Numerical Methods Engineering2014

Lecture

Bloch Theorem and Kronig-Penney Model: Band Theory Insights

Covers the Bloch theorem and Kronig-Penney model, essential for understanding semiconductor band theory and electronic states in periodic potentials.

Lecture

Density of States in Semiconductor Devices

Explores density of states in semiconductor devices, covering electron gas, energy bands, Fermi-Dirac distribution, and band structures.

Lecture

Semiconductor Band Structure

Explores semiconductor band structure, including Fourier transform, crystal structures, and bandgap systematics.

Lecture

Effective Masses in Semiconductor Physics

Covers effective masses in semiconductors, focusing on energy bands and their implications for materials like silicon and gallium arsenide.

Lecture

Semiconductor Band Structure

Explores the bandgap in semiconductors, focusing on the interaction between atoms in a crystal and the derivation of the secular equation.

Lecture

Electron Gas and Crystal Lattice

Explores electron behavior in an electron gas and the periodic arrangement of atoms in crystalline solids, along with density of states in various dimensions and energy bands.

Lecture

Optical Absorption: Understanding Semiconductor Behavior

Covers the principles of optical absorption in gases and semiconductors, detailing energy interactions and measurement techniques.

Lecture

Dispersion Relationships: Band Structures and Density of States

Discusses dispersion relationships, band structures, and density of states in real crystals and semiconductors.

Lecture

Strain and Heteroepitaxy

Explores the impact of strain on semiconductor band structures, epitaxy, critical thickness, and defect formation, emphasizing the role of Hooke's law and elasticity theory.

Lecture

Semiconductors: Band Structure and Carrier Concentration

Explains band structure, density of states, Fermi distribution, and carrier densities.

Lecture

Intrinsic Semiconductors: Thermal Generation and Carrier Concentration

Covers intrinsic semiconductors, focusing on thermal generation and carrier concentration calculations.

Lecture

Semiconductors: Equilibrium Properties and Charge Dynamics

Covers the equilibrium properties of semiconductors, focusing on charge dynamics and the influence of temperature on electron-hole generation.

Lecture

Quantum Mechanics: Free Carrier Concentration and Maxwell Distribution

Discusses quantum mechanics principles, focusing on free carrier concentration and Maxwell distribution in metals and gases.

Lecture

Semiconductors: Basic Properties

Explores the basic properties of semiconductors, including conductivity, impurities, band gaps, and crystal structures.

Lecture

Principles of Quantum Mechanics: Wave-Particle Dualism

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.

Lecture

Doping in Semiconductors: Energy Band Models

Covers the impact of doping on semiconductor properties and energy levels.

Lecture

Semiconductor Properties: Band Structure and Carrier Statistics

Explores semiconductor band structure, carrier statistics, and impurities' impact on carrier activation and conductivity.