momentum operator
collocation in Englishmeaningsofmomentumandoperator
These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withoperatorormomentum.
momentum
noun[U]
uk/məˈmen.təm/us/məˈmen.t̬əm/
physicsspecialized
the force that keeps an ...
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operator
noun[C]
uk/ˈɒp.ər.eɪ.tər/us/ˈɑː.pə.reɪ.t̬ɚ/
someone whose job is to use and control a machine ...
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(Definition ofmomentumandoperatorfrom theCambridge English Dictionary© Cambridge University Press)
Examplesofmomentum operator
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
The angularmomentumoperatorplays a central role in the theory of atomic physics and other quantum problems involving rotational symmetry.
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However, these terms "do" commute with the "total" angularmomentumoperator.
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This is a commonly encountered form of themomentumoperator, though not the most general one.
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This is a commonly encountered form of themomentumoperator, though themomentumoperatorin other bases can take other forms.
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Themomentumoperatoris an example of a differential operator.
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The term angularmomentumoperatorcan (confusingly) refer to either the total or the orbital angular momentum.
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This looks very similar to the commutation relation of the position andmomentumoperator.
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The left side represents the square of themomentumoperatordivided by twice the mass, which is the non-relativistic kinetic energy.
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There is no self-adjointmomentumoperator"p" for a particle moving on a half-line.
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Within a given subspace, a component of a vector operator will behave in a way proportional to the same component of the angularmomentumoperator.
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The relationship between the angularmomentumoperatorand the rotation operators is the same as the relationship between lie algebras and lie groups in mathematics.
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This can be carried over to quantum mechanics, by reinterpreting r as the quantum position operator and p as the quantummomentumoperator.
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In relativistic quantum mechanics, elementary particles have "spin" and this is an additional contribution to the "orbital" angularmomentumoperator, yielding the "total" angular momentum tensor operator.
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The commutator of any two angular momentum operators (corresponding to component directions) is non-zero.
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A more intricate case is the algebra of angular momentum operators; these quantities are closely connected to the rotational symmetries of three-dimensional space.
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Examples are the kinetic energy, dipole moment, and total angular momentum operators.
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There are two kinds: space-fixed and body-fixed angular momentum operators.
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We assume that the states of the subsystems can be chosen as eigenstates of their angular momentum operators (and of their component along any arbitrary "z" axis).
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These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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