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Degenerate energy levels and Eigenvalues and eigenvectors

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Degenerate energy levels and Eigenvalues and eigenvectors

Degenerate energy levels vs. Eigenvalues and eigenvectors

In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

Similarities between Degenerate energy levels and Eigenvalues and eigenvectors

Degenerate energy levels and Eigenvalues and eigenvectors have 16 things in common (in Unionpedia): Angular frequency, Atomic physics, Bound state, Eigenfunction, Hamiltonian (quantum mechanics), Hilbert space, Linear combination, Linear map, Linear subspace, Matrix similarity, Observable, Quantum mechanics, Quantum state, Schrödinger equation, Self-adjoint operator, Wave function.

Angular frequency

In physics, angular frequency ω (also referred to by the terms angular speed, radial frequency, circular frequency, orbital frequency, radian frequency, and pulsatance) is a scalar measure of rotation rate.

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Atomic physics

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus.

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Bound state

In quantum physics, a bound state is a special quantum state of a particle subject to a potential such that the particle has a tendency to remain localised in one or more regions of space.

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Eigenfunction

In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.

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Hamiltonian (quantum mechanics)

In quantum mechanics, a Hamiltonian is an operator corresponding to the total energy of the system in most of the cases.

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Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

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Linear combination

In mathematics, a linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).

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Linear map

In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.

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Linear subspace

In linear algebra and related fields of mathematics, a linear subspace, also known as a vector subspace, or, in the older literature, a linear manifold, is a vector space that is a subset of some other (higher-dimension) vector space.

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Matrix similarity

In linear algebra, two n-by-n matrices and are called similar if for some invertible n-by-n matrix.

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Observable

In physics, an observable is a dynamic variable that can be measured.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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Quantum state

In quantum physics, quantum state refers to the state of an isolated quantum system.

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Schrödinger equation

In quantum mechanics, the Schrödinger equation is a mathematical equation that describes the changes over time of a physical system in which quantum effects, such as wave–particle duality, are significant.

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Self-adjoint operator

In mathematics, a self-adjoint operator on a finite-dimensional complex vector space V with inner product \langle\cdot,\cdot\rangle is a linear map A (from V to itself) that is its own adjoint: \langle Av,w\rangle.

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Wave function

A wave function in quantum physics is a mathematical description of the quantum state of an isolated quantum system.

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The list above answers the following questions

Degenerate energy levels and Eigenvalues and eigenvectors Comparison

Degenerate energy levels has 87 relations, while Eigenvalues and eigenvectors has 235. As they have in common 16, the Jaccard index is 4.97% = 16 / (87 + 235).

References

This article shows the relationship between Degenerate energy levels and Eigenvalues and eigenvectors. To access each article from which the information was extracted, please visit:

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