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Finite potential well, the Glossary

Index Finite potential well

The finite potential well (also known as the finite square well) is a concept from quantum mechanics.[1]

Table of Contents

  1. 20 relations: Bound state, Boundary value problem, Complex number, Delta potential, Differential equation, Eigenvalues and eigenvectors, Energy, Mass, Particle in a box, Planck constant, Potential energy, Potential well, Prentice Hall, Probability, Quantum mechanics, Quantum tunnelling, Rectangular potential barrier, Schrödinger equation, Semicircular potential well, Wave function.

  2. Quantum mechanical potentials
  3. Quantum models

Bound state

A bound state is a composite of two or more fundamental building blocks, such as particles, atoms, or bodies, that behaves as a single object and in which energy is required to split them.

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Boundary value problem

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions.

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Complex number

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^.

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Delta potential

In quantum mechanics the delta potential is a potential well mathematically described by the Dirac delta function - a generalized function. Finite potential well and delta potential are Exactly solvable models, quantum mechanical potentials and quantum models.

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Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

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Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector is a vector that has its direction unchanged by a given linear transformation.

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Energy

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

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Mass

Mass is an intrinsic property of a body.

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Particle in a box

In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes the movement of a free particle in a small space surrounded by impenetrable barriers. Finite potential well and particle in a box are Exactly solvable models, quantum mechanical potentials and quantum models.

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Planck constant

The Planck constant, or Planck's constant, denoted by is a fundamental physical constant of foundational importance in quantum mechanics: a photon's energy is equal to its frequency multiplied by the Planck constant, and the wavelength of a matter wave equals the Planck constant divided by the associated particle momentum.

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Potential energy

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

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Potential well

A potential well is the region surrounding a local minimum of potential energy. Finite potential well and potential well are quantum mechanical potentials.

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Prentice Hall

Prentice Hall was a major American educational publisher.

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Probability

Probability is the branch of mathematics concerning events and numerical descriptions of how likely they are to occur.

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Quantum mechanics

Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms.

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Quantum tunnelling

In physics, quantum tunnelling, barrier penetration, or simply tunnelling is a quantum mechanical phenomenon in which an object such as an electron or atom passes through a potential energy barrier that, according to classical mechanics, should not be passable due to the object not having sufficient energy to pass or surmount the barrier.

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Rectangular potential barrier

In quantum mechanics, the rectangular (or, at times, square) potential barrier is a standard one-dimensional problem that demonstrates the phenomena of wave-mechanical tunneling (also called "quantum tunneling") and wave-mechanical reflection. Finite potential well and rectangular potential barrier are quantum mechanical potentials and quantum models.

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Schrödinger equation

The Schrödinger equation is a partial differential equation that governs the wave function of a quantum-mechanical system.

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Semicircular potential well

In quantum mechanics, the case of a particle in a one-dimensional ring is similar to the particle in a box. Finite potential well and Semicircular potential well are quantum mechanical potentials and quantum models.

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Wave function

In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system.

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See also

Quantum mechanical potentials

Quantum models

References

[1] https://en.wikipedia.org/wiki/Finite_potential_well

Also known as Finite potential well (QM), Finite quantum well, Finite square well.