Wondering how to use Wavefunction in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning .
Wavefunction meaning
A mathematical function that describes the propagation of the quantum mechanical wave associated with a particle (or system of particles), related to the probability of finding the particle in a particular region of space.
Using Wavefunction
- The main meaning on this page is: A mathematical function that describes the propagation of the quantum mechanical wave associated with a particle (or system of particles), related to the probability of finding the particle in a particular region of space.
- In the example corpus, wavefunction often appears in combinations such as: the wavefunction, wavefunction of, wavefunction is.
Context around Wavefunction
- Average sentence length in these examples: 24.9 words
- Position in the sentence: 9 start, 7 middle, 4 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Wavefunction
- In this selection, "wavefunction" usually appears near the start of the sentence. The average example has 24.9 words, and this corpus slice is mostly made up of statements.
- Around the word, universal, approximated, deuteron, must, need and describes stand out and add context to how "wavefunction" is used.
- Recognizable usage signals include a real wavefunction and an effective wavefunction for a. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "wavefunction" sits close to words such as abner, acquit and adamantly, which helps place it inside the broader word index.
Example types with wavefunction
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
For example, the ground state of hydrogen is a real wavefunction. (11 words)
Collapse of the universal wavefunction never occurs in de Broglie–Bohm theory. (12 words)
If one slit has a detector on it, then the wavefunction collapses due to that detection. (16 words)
In some situations, such as in experimental systems, we can represent the system itself in terms of a de Broglie–Bohm theory in which the wavefunction of the system is obtained by conditioning on the environment of the system. (39 words)
To explain the behavior when the particle is detected to go through one slit, one needs to appreciate the role of the conditional wavefunction and how it results in the collapse of the wavefunction; this is explained below. (38 words)
Wavefunction collapse can be viewed as an epiphenomenon of quantum decoherence, which in turn is nothing more than an effect of the underlying local time evolution of the wavefunction of a system and all of its environment. (37 words)
Example sentences (20)
Approximated wavefunction of the deuteron The deuteron wavefunction must be antisymmetric if the isospin representation is used (since a proton and a neutron are not identical particles, the wavefunction need not be antisymmetric in general).
It treats the wavefunction as a fundamental object in the theory as the wavefunction describes how the particles move.
To explain the behavior when the particle is detected to go through one slit, one needs to appreciate the role of the conditional wavefunction and how it results in the collapse of the wavefunction; this is explained below.
Wavefunction collapse can be viewed as an epiphenomenon of quantum decoherence, which in turn is nothing more than an effect of the underlying local time evolution of the wavefunction of a system and all of its environment.
According to Heisenberg the wavefunction represents a probability, but not an objective reality itself in space and time.
As explained below, in most experimental situations, the influence of all of those particles can be encapsulated into an effective wavefunction for a subsystem of the universe.
At each time-step, one then re-synthesizes the wavefunction from the points, recomputes the quantum forces, and continues the calculation.
Collapse of the universal wavefunction never occurs in de Broglie–Bohm theory.
Collapse of the wavefunction De Broglie–Bohm theory is a theory that applies primarily to the whole universe.
Conversely, if the diagonal quantities A(x,x) are zero in every basis, then the wavefunction component : is necessarily antisymmetric.
Everett's many-worlds interpretation is an attempt to demonstrate that the wavefunction alone is sufficient to account for all our observations.
Explicitly: : Linearity The simplest wavefunction is a plane wave of the form: : where the A is the amplitude, k the wavevector, and ω the angular frequency, of the plane wave.
For example, the ground state of hydrogen is a real wavefunction.
If one slit has a detector on it, then the wavefunction collapses due to that detection.
In addition to a wavefunction on the space of all possible configurations, it also postulates an actual configuration that exists even when unobserved.
In all circumstances the universal wavefunction is still available to give a complete description of reality.
In de Broglie–Bohm theory, the wavefunction is defined at both slits, but each particle has a well-defined trajectory that passes through exactly one of the slits.
In general, the wavefunction takes the form: : where ψ(space coords) is a function of all the spatial coordinate(s) of the particle(s) constituting the system only, and τ(t) is a function of time only.
In some situations, such as in experimental systems, we can represent the system itself in terms of a de Broglie–Bohm theory in which the wavefunction of the system is obtained by conditioning on the environment of the system.
In their derivation, they derive the velocity field by demanding the appropriate transformation properties given by the various symmetries that Schrödinger's equation satisfies, once the wavefunction is suitably transformed.
Common combinations with wavefunction
These word pairs occur most frequently in English texts:
- the wavefunction 39×
- wavefunction of 8×
- wavefunction is 6×
- wavefunction collapse 5×
- wavefunction must 2×
- conditional wavefunction 2×
- wavefunction and 2×
- wavefunction for 2×
- universal wavefunction 2×
- wavefunction on 2×