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Get to know Wavefunctions better with 10+ real example sentences, the meaning.

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Wavefunctions in a sentence

Related words

Wavefunctions | Wavefunction

Wavefunctions meaning

plural of wavefunction

Using Wavefunctions

  • The main meaning on this page is: plural of wavefunction
  • In the example corpus, wavefunctions often appears in combinations such as: the wavefunctions, electron wavefunctions, wavefunctions that.

Context around Wavefunctions

  • Average sentence length in these examples: 25.8 words
  • Position in the sentence: 1 start, 9 middle, 4 end
  • Sentence types: 14 statements, 0 questions, 0 exclamations

Often before:

electron 3× space 1× give 1× relativistic 1× idealized 1×

Often after:

identical 1× belonging 1×

Sentence patterns with Wavefunctions

These short patterns come directly from the example sentences and show how the word is often embedded:

2 electron wavefunctions for the 1× are idealized wavefunctions in the 1× eigenstates have wavefunctions that are 1× from relativistic wavefunctions not having 1× governed by wavefunctions that give 1× momentum space wavefunctions for one 1× number of wavefunctions 1× of the wavefunctions belonging to 1×

Sentence openings and endings

Common sentence openings:

it turns out 2× a simple example 1× bransden and joachain 1× given that the 1× h 2 electron 1× if the final 1×

Common sentence endings:

at each position 1× atom is zero 1× behavior under inversion 1× being mirror reversed 1× h 2 molecule 1× in one dimension 1×

Words around Wavefunctions

Just before it in the word index:

wavefunction 61 wavefronts 7 wavefront 11 waveforms 48 waveform 96 waved 414

Just after it in the word index:

wavegarden 2 waveguide 47 waveguides 22 wavel 2 wavelan 2 waveland 12

Similar in corpus frequency:

aaronson 18 abai 18 abass 18 abatements 18 abdulfatah 18 abebe 18

Corpus analysis for Wavefunctions

  • In this selection, "wavefunctions" usually appears in the middle of the sentence. The average example has 25.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, electron, space, give, identical and belonging stand out and add context to how "wavefunctions" is used.
  • Recognizable usage signals include 2 electron wavefunctions for the and are idealized wavefunctions in the. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "wavefunctions" sits close to words such as aaronson, abai and abass, which helps place it inside the broader word index.

Example types with wavefunctions

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

The Hartree–Fock method accounted for exchange statistics of single particle electron wavefunctions. (13 words)

These interactions are often neglected if the spatial overlap of the electron wavefunctions is low. (15 words)

Instead, they are governed by wavefunctions that give the probability of finding a particle at each position. (17 words)

Longer example sentences

Below is an illustration of wave–particle duality as it relates to De Broglie's hypothesis and Heisenberg's uncertainty principle (above), in terms of the position and momentum space wavefunctions for one spinless particle with mass in one dimension. (40 words)

This gives a non-vanishing dipole (by definition proportional to a non-vanishing first-order Stark shift) only if some of the wavefunctions belonging to the degenerate energies have opposite parity ; i.e., have different behavior under inversion. (38 words)

It turns out that this is not quite true: In order for the equations to be satisfied, the wavefunctions of certain types of particles have to be multiplied by −1, in addition to being mirror-reversed. (36 words)

Example sentences (14)

A simple example of this is a free particle, whose energy eigenstates have wavefunctions that are propagating plane waves.

Below is an illustration of wave–particle duality as it relates to De Broglie's hypothesis and Heisenberg's uncertainty principle (above), in terms of the position and momentum space wavefunctions for one spinless particle with mass in one dimension.

Bransden and Joachain, p.158 Negative values of are neglected, since they give wavefunctions identical to the positive solutions except for a physically unimportant sign change.

Given that the eigenstates of an atom are properly diagonalized, the overlap of the wavefunctions between the excited state and the ground state of the atom is zero.

H 2 Electron wavefunctions for the 1s orbital of a lone hydrogen atom (left and right) and the corresponding bonding (bottom) and antibonding (top) molecular orbitals of the H 2 molecule.

If the final theory of everything is non- linear with respect to wavefunctions then many-worlds would be invalid.

If two wave functions and are solutions, then so is any linear combination of the two: : where and are any complex numbers (the sum can be extended for any number of wavefunctions).

Instead, they are governed by wavefunctions that give the probability of finding a particle at each position.

Advertentie

It turns out that such inconsistencies arise from relativistic wavefunctions not having a well-defined probabilistic interpretation in position space, as probability conservation is not a relativistically covariant concept.

It turns out that this is not quite true: In order for the equations to be satisfied, the wavefunctions of certain types of particles have to be multiplied by −1, in addition to being mirror-reversed.

Roger Penrose states: citation "Such 'position states' are idealized wavefunctions in the opposite sense from the momentum states.

The Hartree–Fock method accounted for exchange statistics of single particle electron wavefunctions.

These interactions are often neglected if the spatial overlap of the electron wavefunctions is low.

This gives a non-vanishing dipole (by definition proportional to a non-vanishing first-order Stark shift) only if some of the wavefunctions belonging to the degenerate energies have opposite parity ; i.e., have different behavior under inversion.

Advertentie

Common combinations with wavefunctions

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "wavefunctions" in a sentence?
An example: "A simple example of this is a free particle, whose energy eigenstates have wavefunctions that are propagating plane waves." This page contains 10+ example sentences with the word "wavefunctions" from authentic English texts.
What does "wavefunctions" mean?
Wavefunctions means: plural of wavefunction
How many example sentences with "wavefunctions" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "wavefunctions", drawn from a database of millions of English sentences.