Finite potential well, the Glossary
The finite potential well (also known as the finite square well) is a concept from quantum mechanics.[1]
Table of Contents
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.
- Quantum mechanical potentials
- 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
- Axilrod–Teller potential
- Buckingham potential
- Coleman–Weinberg potential
- Delta potential
- Double-well potential
- Finite potential well
- Interatomic potential
- Lennard-Jones potential
- List of quantum-mechanical potentials
- Mie potential
- Morse potential
- Morse/Long-range potential
- Pöschl–Teller potential
- Pair potential
- Particle in a box
- Potential well
- Pseudopotential
- Quantum potential
- Quantum well
- Rectangular potential barrier
- Semicircular potential well
- Step potential
- Stockmayer potential
- Trigonometric Rosen–Morse potential
- Uehling potential
- Woods–Saxon potential
- Yukawa potential
Quantum models
- 1s Slater-type function
- Adiabatic quantum motor
- Delta potential
- Dihydrogen cation
- Dirac membrane
- Empty lattice approximation
- Fermi gas
- Finite potential well
- Free electron model
- Free particle
- Helium atom
- Hooke's atom
- Hydrodynamic quantum analogs
- Hydrogen atom
- List of quantum-mechanical systems with analytical solutions
- Morse potential
- Nearly free electron model
- Pöschl–Teller potential
- Particle in a box
- Particle in a one-dimensional lattice
- Particle in a ring
- Particle in a spherically symmetric potential
- Quantum LC circuit
- Quantum capacitance
- Quantum harmonic oscillator
- Quantum pendulum
- Rectangular potential barrier
- Rigid rotor
- Semicircular potential well
- Spherium
- Spin quantum number
- Spin-1/2
- Step potential
- Transverse-field Ising model
- Two-electron atom
- Two-state quantum system
References
[1] https://en.wikipedia.org/wiki/Finite_potential_well
Also known as Finite potential well (QM), Finite quantum well, Finite square well.