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Notable physical systems.

Entity ["PhysicalSystem" ,name] or

represents an entity of type "PhysicalSystem" .

[prop]

gives the value of a specified property.

[{propi,}]

gives the value of a list of properties.

EntityClass ["PhysicalSystem" ,{propispeci,}]

represents a class of entities with values of propi defined by speci.

Sample Entities

Sample Entity Classes

Properties

  • Action action
    AlternateNames alternate names
    Assumptions assumptions
    BluePropagatorMomentumRepresentation blue propagator momentum representation
    BluePropagatorPositionRepresentation blue propagator position representation
    BoundStateWaveFunctionMomentumRepresentation bound state wave function momentum representation
    BoundStateWaveFunctionMomentumRepresentationAbsoluteValueSquared bound state wave function momentum representation absolute value squared
    BoundStateWaveFunctionPositionRepresentation bound state wave function position representation
    BoundStateWaveFunctionPositionRepresentationAbsoluteValueSquared bound state wave function position representation absolute value squared
    CanonicalMomenta canonical momenta
    CenterOfMassCoordinates center of mass coordinates
    Classes classes
    ConfigurationSpaceCoordinateChart configuration space coordinate chart
    ConfigurationSpaceCoordinates configuration space coordinates
    ContinuousEnergyEigenvalue continuous energy eigenvalue
    ContinuousSpectrumQuantumNumbers continuous spectrum quantum numbers
    CoordinateChart coordinate chart
    Coordinates coordinates
    DegreesOfFreedom degrees of freedom
    DiscreteEnergyEigenvalue discrete energy eigenvalue
    DiscreteSpectrumQuantumNumbers discrete spectrum quantum numbers
    ElectricCharge electric charge
    ElectricChargeDensity electric charge density
    ElectricCurrentDensity electric current density
    ElectricDipoleMoment electric dipole moment
    ElectricField electric field
    ElectricMonopoleMoment electric monopole moment
    ElectricPotential electric potential
    ElectricQuadrupoleMoment electric quadrupole moment
    EntityClasses entity classes
    EntityTypeList entity type list
    EquationOfState equation of state
    EquationsOfMotion equations of motion
    EquationsOfMotionSolution solution of the equations of motion
    GravitationalField gravitational field
    GravitationalPotential gravitational potential
    HamiltonianEquationsOfMotion Hamiltonian equations of motion
    HamiltonianEquationsOfMotionSolution solution of the Hamiltonian equations of motion
    HamiltonianFunction Hamiltonian function
    HamiltonianOperator Hamiltonian operator
    HamiltonianOperatorMomentumRepresentation Hamiltonian operator momentum representation
    HamiltonianOperatorPositionRepresentation Hamiltonian operator position representation
    InternalEnergy internal energy
    IsobaricHeatCapacity isobaric heat capacity
    IsochoricHeatCapacity isochoric heat capacity
    KineticEnergy kinetic energy
    Lagrangian Lagrangian
    MagneticFluxDensity magnetic flux density
    MagneticMoment magnetic moment
    MagneticScalarPotential magnetic scalar potential
    MagneticVectorPotential magnetic vector potential
    Mass mass
    MassDensity mass density
    MomentOfInertiaTensor moment of inertia tensor
    MomentumOperatorsMomentumRepresentation momentum operators momentum representation
    MomentumOperatorsPositionRepresentation momentum operators position representation
    MomentumSpaceCoordinates momentum space coordinates
    Name name
    Period period
    PositionOperatorsMomentumRepresentation position operators momentum representation
    PositionOperatorsPositionRepresentation position operators position representation
    PotentialEnergy potential energy
    PropagatorMomentumRepresentation propagator momentum representation
    PropagatorPositionRepresentation propagator position representation
    Region region
    ScatteringStateWaveFunctionMomentumRepresentation scattering state wave function momentum representation
    ScatteringStateWaveFunctionPositionRepresentation scattering state wave function position representation
    SystemVariables system variables
    TimeCoordinate time coordinate
    TimeDependentSchroedingerEquationMomentumRepresentation timedependent Schrödinger equation momentum representation
    TimeDependentSchroedingerEquationPositionRepresentation timedependent Schrödinger equation position representation
    TimeIndependentSchroedingerEquationMomentumRepresentation timeindependent Schrödinger equation momentum representation
    TimeIndependentSchroedingerEquationPositionRepresentation timeindependent Schrödinger equation position representation
    VariableRandomValues variable random values
    Variables variables

Details

  • "PhysicalSystem" entities include physical configurations of masses, charges, currents and other objects that have interesting and computable properties.
  • "PhysicalSystem" entity classes include categorizations based on the area of physics to which they belong and the physical and mathematical characterization of their solution.
  • Some properties are available for the "PhysicalSystem" entity type as a whole and can be given using the form EntityValue ["PhysicalSystem" ,property]. Such properties include:
  • "Properties" the list of available properties
    "PropertyCanonicalNames" the standard names of available properties
    "SampleEntities" a sample list of available entities (typically of length 10)
    "SampleEntityClasses" a sample list of available entity classes (typically of length 10)
    "EntityCount" number of entities available
    "Entities" the list of available entities
    "EntityCanonicalNames" the standard names of available entities
    "EntityClasses" the list of available entity classes
    "EntityClassCanonicalNames" the standard names of available entity classes
    "PropertyClasses" the list of available property classes
    "PropertyClassCanonicalNames" the standard names of available property classes
    "PropertyCount" number of properties available
  • The following annotations can be used in the third argument of EntityValue ["PhysicalSystem" ,property,annotation]:
  • "Source" source information for the property
    "Date" the date associated with the entity-property value (if any)
    "EntityAssociation" an association of entities and entity-property values
    "PropertyAssociation" an association of properties and entity-property values
    "EntityPropertyAssociation" an association in which the specified entities are keys, and values are a nested association of properties and entity-property values
    "PropertyEntityAssociation" an association in which the specified properties are keys, and values are a nested association of entities and entity-property values
    "Dataset" a dataset in which the specified entities are keys, and values are an association of property names and entity-property values
  • The following annotations can be used in the second argument of EntityValue [property,annotation]:
  • "Qualifiers" the list of possible qualifiers for the property
    "QualifierValues" the list of possible values that can be given to each qualifier
    "DefaultQualifierValues" the list of default values for the property's qualifiers
    "Description" a brief textual description of the property
    "Definition" a detailed textual definition of the property
    "PhysicalQuantity" the physical quantity associated with the entity-property value
    "Unit" the unit associated with the entity-property value
  • A qualifier value of Automatic indicates that an applicable format of values can be used; e.g. for the "Date" qualifier, this includes a proper date or date span.

Examples

Basic Examples  (4)

Use for entity discovery:

Find a property value for an entity:

Retrieve a dataset of all available properties for an entity:

Retrieve periodic holonomic physical systems:

History

Introduced in 2019 (12.0)

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