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Harmonic analysis and Quantum mechanics

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

Difference between Harmonic analysis and Quantum mechanics

Harmonic analysis vs. Quantum mechanics

Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). 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.

Similarities between Harmonic analysis and Quantum mechanics

Harmonic analysis and Quantum mechanics have 10 things in common (in Unionpedia): Distribution (mathematics), Eigenvalues and eigenvectors, George Mackey, Hilbert space, Mathematics, Princeton University Press, Quantum mechanics, Superposition principle, Uncertainty principle, Wave.

Distribution (mathematics)

Distributions (or generalized functions) are objects that generalize the classical notion of functions in mathematical analysis.

Distribution (mathematics) and Harmonic analysis · Distribution (mathematics) and Quantum mechanics · See more »

Eigenvalues and eigenvectors

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.

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George Mackey

George Whitelaw Mackey (February 1, 1916 – March 15, 2006) was an American mathematician.

George Mackey and Harmonic analysis · George Mackey and Quantum mechanics · See more »

Hilbert space

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

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Princeton University Press

Princeton University Press is an independent publisher with close connections to Princeton University.

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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.

Harmonic analysis and Quantum mechanics · Quantum mechanics and Quantum mechanics · See more »

Superposition principle

In physics and systems theory, the superposition principle, also known as superposition property, states that, for all linear systems, the net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually.

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Uncertainty principle

In quantum mechanics, the uncertainty principle (also known as Heisenberg's uncertainty principle) is any of a variety of mathematical inequalities asserting a fundamental limit to the precision with which certain pairs of physical properties of a particle, known as complementary variables, such as position x and momentum p, can be known.

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Wave

In physics, a wave is a disturbance that transfers energy through matter or space, with little or no associated mass transport.

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The list above answers the following questions

Harmonic analysis and Quantum mechanics Comparison

Harmonic analysis has 59 relations, while Quantum mechanics has 356. As they have in common 10, the Jaccard index is 2.41% = 10 / (59 + 356).

References

This article shows the relationship between Harmonic analysis and Quantum mechanics. To access each article from which the information was extracted, please visit:

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