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  2. Particle in a box - Wikipedia

    en.wikipedia.org/wiki/Particle_in_a_box

    The potential energy in this model is given as = {, < < +,,, where L is the length of the box, x c is the location of the center of the box and x is the position of the particle within the box. Simple cases include the centered box ( x c = 0) and the shifted box ( x c = L /2) (pictured).

  3. Energy - Wikipedia

    en.wikipedia.org/wiki/Energy

    equal amount of energy in transit due to a displacement in the direction of an applied force. Transfer of material. equal amount of energy carried by matter that is moving from one system to another. A turbo generator transforms the energy of pressurized steam into electrical energy.

  4. Joule - Wikipedia

    en.wikipedia.org/wiki/Joule

    The joule (/ dʒuːl / JOOL, or / dʒaʊl / JOWL; symbol: J) is the unit of energy in the International System of Units (SI). [1] It is equal to the amount of work done when a force of one newton displaces a mass through a distance of one metre in the direction of that force. It is also the energy dissipated as heat when an electric current of ...

  5. Hamiltonian (quantum mechanics) - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_(quantum...

    Quantum operator for the sum of energies of a system. In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Its spectrum, the system's energy spectrum or its set of energy eigenvalues, is the set of possible outcomes obtainable from ...

  6. Lennard-Jones potential - Wikipedia

    en.wikipedia.org/wiki/Lennard-Jones_potential

    Overview. The Lennard-Jones potential is a simple model that still manages to describe the essential features of interactions between simple atoms and molecules: Two interacting particles repel each other at very close distance, attract each other at moderate distance, and eventually stop interacting at infinite distance, as shown in the Figure.

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    You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

  8. Schrödinger equation - Wikipedia

    en.wikipedia.org/wiki/Schrödinger_equation

    The box is defined as having zero potential energy inside a certain region and infinite potential energy outside. [ 11 ] : 77–78 For the one-dimensional case in the x {\displaystyle x} direction, the time-independent Schrödinger equation may be written − ℏ 2 2 m d 2 ψ d x 2 = E ψ . {\displaystyle -{\frac {\hbar ^{2}}{2m}}{\frac {d^{2 ...

  9. Kinetic energy - Wikipedia

    en.wikipedia.org/wiki/Kinetic_energy

    The kinetic energy is equal to 1/2 the product of the mass and the square of the speed. In formula form: where is the mass and is the speed (magnitude of the velocity) of the body. In SI units, mass is measured in kilograms, speed in metres per second, and the resulting kinetic energy is in joules.