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Quantum mechanics (QM), also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic scales, the so-called quantum realm. In advanced topics of QM, some of these behaviors are macroscopic and only emerge at very low or very high energies or temperatures.

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

Series (1-8 of 8)

  1. "Turning Fruit Juice into Graphene Quantum Dots" Supplementary Lesson Plans: Going Atomic

    Series | 15 Nov 2020 | Contributor(s):: Rachel Altovar, Susan P Gentry

    Expanding on the pre-existing resource on nanoHUB: “Turning Fruit Juice into Graphene Quantum Dots” this resource expands on the concepts in the experimental guide to give a comprehensive overview of materials pertaining to concepts and ideas within the...

  2. Quantum Mechanics: Stationary Perturbation Theory

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    Series | 10 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck

    Stationary perturbation theory is concerned with finding the changes in the discrete energy levels and the changes in the corresponding energy eigenfunctions of a system, when the Hamiltonian of a system is changed by a small amount. In this section we provide reading material regarding...

  3. Quantum Mechanics: Time-Dependent Perturbation Theory

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    Series | 10 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck

    Time-dependent perturbation theory, developed by Paul Dirac, studies the effect of a time-dependent perturbation V(t) applied to a time-independent Hamiltonian H0. Since the perturbed Hamiltonian is time-dependent, so are its energy levels and eigenstates. Therefore, the goals of time-dependent...

  4. Quantum Mechanics: WKB Approximation

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    Series | 09 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck

    In physics, the WKB (Wentzel–Kramers–Brillouin) approximation, also known as WKBJ (Wentzel–Kramers–Brillouin–Jeffreys) approximation, is the most familiar example of a semiclassical calculation in quantum mechanics in which the wavefunction is recast as an exponential function, semiclassically...

  5. Quantum Mechanics: Tunneling

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    Series | 08 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck

    In quantum mechanics, quantum tunnelling is a micro nanoscopic phenomenon in which a particle violates the principles of classical mechanics by penetrating a potential barrier or impedance higher than the kinetic energy of the particle. A barrier, in terms of quantum tunnelling, may be a form of...

  6. Quantum Mechanics: Time Independent Schrodinger Wave Equation

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    Series | 07 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck

    In physics, especially quantum mechanics, the Schrödinger equation is an equation that describes how the quantum state of a physical system changes in time. It is as central to quantum mechanics as Newton's laws are to classical mechanics.In the standard interpretation of quantum mechanics, the...

  7. Quantum Mechanics: Introductory Concepts

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    Series | 07 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck, David K. Ferry

    In this section of the Quantum Mechanics class we discuss the particle-wave duality and the need for the quantization of energy to explain the black-body radiation and the photoelectric effect. We provide reading material, slides and video, which in a very illustrative way, explain the most...

  8. Quantum Mechanics: Wavepackets

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    Series | 07 Jul 2008 | Contributor(s):: Dragica Vasileska, Gerhard Klimeck

    In physics, a wave packet is an envelope or packet containing an arbitrary number of wave forms. In quantum mechanics the wave packet is ascribed a special significance: it is interpreted to be a "probability wave" describing the probability that a particle or particles in a particular state will...