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Step potential, the Glossary

In quantum mechanics and scattering theory, the one-dimensional step potential is an idealized system used to model incident, reflected and transmitted matter waves.^[1]

34 relations: Andreev reflection, Boundary value problem, Classical mechanics, Continuous function, Correspondence principle, Delta potential, Dirac equation, Electron, Finite potential well, Free particle, Hamiltonian (quantum mechanics), Heaviside step function, Kinetic energy, Klein paradox, Mass, Matter wave, Parity (physics), Particle in a box, Planck constant, Potential, Probability current, Quantum field theory, Quantum mechanics, Quantum superposition, Quasiparticle, Rectangular potential barrier, Relativistic quantum mechanics, S-matrix, Scattering, Schrödinger equation, Superconductivity, Transmission coefficient, Wave function, Wave vector.
Quantum mechanical potentials
Quantum models
Scattering theory
Schrödinger equation

Andreev reflection

Andreev reflection (AR), named after the Russian physicist Alexander F. Andreev, is a type of particle scattering which occurs at interfaces between a superconductor (S) and a normal state material (N).

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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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Classical mechanics

Classical mechanics is a physical theory describing the motion of objects such as projectiles, parts of machinery, spacecraft, planets, stars, and galaxies.

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Continuous function

In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function.

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Correspondence principle

In physics, a correspondence principle is any one of several premises or assertions about the relationship between classical and quantum mechanics.

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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. Step potential and delta potential are quantum mechanical potentials, quantum models, scattering theory and Schrödinger equation.

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Dirac equation

In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928.

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Electron

The electron (or in nuclear reactions) is a subatomic particle with a negative one elementary electric charge.

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Finite potential well

The finite potential well (also known as the finite square well) is a concept from quantum mechanics. Step potential and finite potential well are quantum mechanical potentials and quantum models.

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Free particle

In physics, a free particle is a particle that, in some sense, is not bound by an external force, or equivalently not in a region where its potential energy varies. Step potential and free particle are quantum models.

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Hamiltonian (quantum mechanics)

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.

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Heaviside step function

The Heaviside step function, or the unit step function, usually denoted by or (but sometimes, or), is a step function named after Oliver Heaviside, the value of which is zero for negative arguments and one for positive arguments.

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Kinetic energy

In physics, the kinetic energy of an object is the form of energy that it possesses due to its motion.

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Klein paradox

In 1929, physicist Oskar Klein obtained a surprising result by applying the Dirac equation to the familiar problem of electron scattering from a potential barrier.

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Mass

Mass is an intrinsic property of a body.

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Matter wave

Matter waves are a central part of the theory of quantum mechanics, being half of wave–particle duality.

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Parity (physics)

In physics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate.

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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. Step potential and particle in a box are 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

Potential generally refers to a currently unrealized ability.

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Probability current

In quantum mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability.

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Quantum field theory

In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics.

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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 superposition

Quantum superposition is a fundamental principle of quantum mechanics that states that linear combinations of solutions to the Schrödinger equation are also solutions of the Schrödinger equation.

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Quasiparticle

In condensed matter physics, a quasiparticle is a concept used to describe a collective behavior of a group of particles that can be treated as if they were a single particle.

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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. Step potential and rectangular potential barrier are quantum mechanical potentials, quantum models, scattering theory and Schrödinger equation.

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Relativistic quantum mechanics

In physics, relativistic quantum mechanics (RQM) is any Poincaré covariant formulation of quantum mechanics (QM).

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S-matrix

In physics, the S-matrix or scattering matrix relates the initial state and the final state of a physical system undergoing a scattering process. Step potential and s-matrix are scattering theory.

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Scattering

In physics, scattering is a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass.

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References

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

Also known as Finite potential step, Heaviside-step potential (QM), Potential Step, Solution of Schrödinger equation for a step potential, Solution of Schrödinger equation for a step potentional.

Step potential, the Glossary

Table of Contents

See also

Quantum mechanical potentials

Quantum models

Scattering theory

Schrödinger equation

References