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Operator (physics) and Quantum mechanics

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

Difference between Operator (physics) and Quantum mechanics

Operator (physics) vs. Quantum mechanics

In physics, an operator is a function over a space of physical states to another space of physical states. 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 Operator (physics) and Quantum mechanics

Operator (physics) and Quantum mechanics have 24 things in common (in Unionpedia): Bra–ket notation, Classical mechanics, Complex number, Eigenvalues and eigenvectors, Hamiltonian (quantum mechanics), Hamiltonian mechanics, Hilbert space, Kinetic energy, Lagrangian mechanics, Mathematical formulation of quantum mechanics, Matrix mechanics, Momentum, Momentum operator, Observable, Position operator, Probability amplitude, Quantum mechanics, Quantum state, Self-adjoint operator, Square-integrable function, Time evolution, Uncertainty principle, Unit vector, Vector space.

Bra–ket notation

In quantum mechanics, bra–ket notation is a standard notation for describing quantum states.

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Classical mechanics

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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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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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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Hamiltonian mechanics

Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.

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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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Kinetic energy

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

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Lagrangian mechanics

Lagrangian mechanics is a reformulation of classical mechanics, introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in 1788.

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Mathematical formulation of quantum mechanics

The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics.

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Matrix mechanics

Matrix mechanics is a formulation of quantum mechanics created by Werner Heisenberg, Max Born, and Pascual Jordan in 1925.

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Momentum

In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object.

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Momentum operator

In quantum mechanics, the momentum operator is an operator which maps the wave function in a Hilbert space representing a quantum state to another function.

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Observable

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

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Position operator

In quantum mechanics, the position operator is the operator that corresponds to the position observable of a particle.

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Probability amplitude

In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems.

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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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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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Square-integrable function

In mathematics, a square-integrable function, also called a quadratically integrable function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite.

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Time evolution

Time evolution is the change of state brought about by the passage of time, applicable to systems with internal state (also called stateful systems).

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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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Unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.

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Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

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The list above answers the following questions

Operator (physics) and Quantum mechanics Comparison

Operator (physics) has 72 relations, while Quantum mechanics has 356. As they have in common 24, the Jaccard index is 5.61% = 24 / (72 + 356).

References

This article shows the relationship between Operator (physics) and Quantum mechanics. To access each article from which the information was extracted, please visit:

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