Tags: wavefunction


A wave function is a mathematical tool used in quantum mechanics. It is a function typically of space or momentum or spin and possibly of time that returns the probability amplitude of a position or momentum for a subatomic particle. Mathematically, it is a function from a space that maps the possible states of the system into the complex numbers. The laws of quantum mechanics (the Schrödinger equation) describe how the wave function evolves over time.

Learn more about quantum dots from the many resources on this site, listed below. More information on Wave Function can be found here.

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  1. James Chenault


  2. Discussion Session 3 (Lectures 5 and 6)

    09 Sep 2010 | | Contributor(s):: Supriyo Datta

  3. Lecture 5: Electron Spin: How to rotate an electron to control the current

    09 Sep 2010 | | Contributor(s):: Supriyo Datta

  4. 3D wavefunctions

    12 Apr 2010 | | Contributor(s):: Saumitra Raj Mehrotra, Gerhard Klimeck

    In quantum mechanics the time-independent Schrodinger's equation can be solved for eigenfunctions (also called eigenstates or wave-functions) and corresponding eigenenergies (or energy levels) for a stationary physical system. The wavefunction itself can take on negative and positive values and...

  5. ECE 656 Lecture 27: Scattering of Bloch Electrons

    13 Nov 2009 | | Contributor(s):: Mark Lundstrom

    Outline:Umklapp processesOverlap integralsADP Scattering in graphene

  6. ECE 656 Lecture 1: Bandstructure Review

    26 Aug 2009 | | Contributor(s):: Mark Lundstrom

    Outline:Bandstructure in bulk semiconductorsQuantum confinementSummary

  7. Periodic Potential Lab Demonstration: Standard Kroenig-Penney Model

    11 Jun 2009 | | Contributor(s):: Gerhard Klimeck, Benjamin P Haley

    This video shows the simulation of a 1D square well using the Periodic Potential Lab. The calculated output includes plots of the allowed energybands, a table of the band edges and band gaps, plots of reduced and expanded dispersion relations, and plots comparing the dispersion relations to...

  8. Quantum Dot Lab Demonstration: Pyramidal Qdots

    11 Jun 2009 | | Contributor(s):: Gerhard Klimeck, Benjamin P Haley

    This video shows the simulation and analysis of a pyramid-shaped quantum dot using Quantum Dot Lab. Several powerful analytic features of this tool are demonstrated.

  9. The Diatomic Molecule

    31 Mar 2009 | | Contributor(s):: Vladimir I. Gavrilenko

  10. Theoretical Electron Density Visualizer

    01 Jul 2008 | | Contributor(s):: Baudilio Tejerina

    TEDVis calculates and displays 3D maps of molecular ED and its derivatives from the wave function.

  11. Computational Nanoscience, Lecture 20: Quantum Monte Carlo, part I

    15 May 2008 | | Contributor(s):: Elif Ertekin, Jeffrey C Grossman

    This lecture provides and introduction to Quantum Monte Carlo methods. We review the concept of electron correlation and introduce Variational Monte Carlo methods as an approach to going beyond the mean field approximation. We describe briefly the Slater-Jastrow expansion of the wavefunction,...

  12. UV/Vis Spectra simulator

    04 Mar 2008 | | Contributor(s):: Baudilio Tejerina

    This tool computes molecular electronic spectra.

  13. Introduction to Quantum Dot Lab

    31 Mar 2008 | | Contributor(s):: Sunhee Lee, Hoon Ryu, Gerhard Klimeck

    The nanoHUB tool "Quantum Dot Lab" allows users to compute the quantum mechanical "particle in a box" problem for a variety of differentconfinement shapes, such as boxes, ellipsoids, disks, and pyramids. Users can explore, interactively, the energy spectrum and orbital shapes of new quantized...


    09 Oct 2007 | | Contributor(s):: Baudilio Tejerina, Jeff Reimers

    Semi-empirical Molecular Orbital calculations.

  15. Computational Nanoscience, Lecture 4: Geometry Optimization and Seeing What You're Doing

    13 Feb 2008 | | Contributor(s):: Jeffrey C Grossman, Elif Ertekin

    In this lecture, we discuss various methods for finding the ground state structure of a given system by minimizing its energy. Derivative and non-derivative methods are discussed, as well as the importance of the starting guess and how to find or generate good initial structures. We also briefly...

  16. Periodic Potential Lab

    19 Jan 2008 | | Contributor(s):: Abhijeet Paul, Junzhe Geng, Gerhard Klimeck

    Solve the time independent schrodinger eqn. for arbitrary periodic potentials

  17. Quantum Ballistic Transport in Semiconductor Heterostructures

    27 Aug 2007 | | Contributor(s):: Michael McLennan

    The development of epitaxial growth techniques has sparked a growing interest in an entirely quantum mechanical description of carrier transport. Fabrication methods, such as molecular beam epitaxy (MBE), allow for growth of ultra-thin layers of differing material compositions. Structures can be...

  18. Quantum Dot Lab Learning Module: An Introduction

    02 Jul 2007 | | Contributor(s):: James K Fodor, Jing Guo


  19. ElectroMat

    27 Mar 2007 | | Contributor(s):: Alexander Gavrilenko, Heng Li

    Kronig-Penney Potential

  20. Periodic Potential

    21 Feb 2007 | | Contributor(s):: Heng Li, Alexander Gavrilenko

    Calculation of the allowed and forbidden states in a periodic potential