Examples of 'phase space' in a sentence
Meaning of "phase space"
Phase space: A term used in physics and mathematics to describe the space of all possible states of a system
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- Given a (dynamical) system, any topological space such that every point in the space's underlying set uniquely represents a state of the system and every possible state is represented by some point; (less formally) the underlying set of such a topological space.
- Given a (dynamical) system, any topological space such that every point in the space's underlying set uniquely represents a state of the system and every possible state is represented by some point;
- the underlying set of such a topological space.
How to use "phase space" in a sentence
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phase space
Phase space variables being on the same footing.
Etendue may be considered to be a volume in phase space.
The phase space and density function.
It is the standard paradigm of quantum mechanics in phase space.
The phase space can be determined from.
These equations describe a flow or orbit in phase space.
Phase space of the data series was reconstructed.
This makes it a type of phase space.
A point in this phase space is correspondingly called a macrostate.
These tori foliate the whole phase space.
A phase space may contain a great many dimensions.
Attractors exist in a mathematical construct called phase space.
A phase space may contain a great number of dimensions.
Basic property of the phase space.
The phase space method is used widely in physics.
See also
Strange attractor appears in phase space.
Phase space quantization and the uncertainty principle.
We consider a probability distribution on the physical phase space.
The phase space of a harmonic oscillator.
There was precious little to grasp in phase space.
Phase space of a dynamical system with focal stability.
This leads to the use of phase space in a different sense.
Phase space analysis of session cookies.
Etendue as volume in phase space is commonly used in nonimaging optics.
The symplectic manifold is then called the phase space.
Angel phase space being neutralized.
I was constructing an invariant measure of the phase space of cosmological spacetimes.
A phase space representation of the quantum collision dynamics is formulated.
The constraints are certain functions of these phase space variables.
Each point of this phase space is associated to an event probability.
The third case gives new constraints in phase space.
This allows the phase space singularity to be studied in detail.
This can happen along critical lines in phase space.
The phase space acquires thereby the structure of a symplectic manifold.
This has analogies with the classical phase space.
Phase space trajectory.
Symplectic manifolds naturally generalize phase space of classical mechanics.
Determine the phase space of a dynamical system and represent it graphically.
Rotation in the phase space.
Each dimension in phase space corresponds to a degree of freedom within the system.
This work is a computational mapping of the phase space of iterated maps.
Thus a point in the phase space defines a potential state of the system.
Some bifurcations can lead to very complicated structures in phase space.
It is possible that the phase space is governed by the subconscious mind.
We consider the action of the constraints on arbitrary phase space functions.
Each point in the optical phase space corresponds to a unique state of an optical system.
The constraints define a constraint surface in the original phase space.
We finally propose a generalization of phase space models through local evolutions of the energy.
The density matrix operator may also be realized in phase space.
So phase space is like a mathematical representation of all the possible states of the system.