DBpedia – Linked Data Fragments

Matches in DBpedia 2016-04 for { ?s ?p "A wave function in quantum mechanics is a mathematical object that represents a particular pure quantum state of a specific isolated system of one or more particles. It is a central entity in quantum mechanics. The most common symbols for a wave function are the Greek letters ψ or Ψ (lower-case and capital psi).A single wave function describes the entire system, covering at once all the particles in it. For the one state, however, there are many different wave functions, each giving its respective version, or representative description, in a chosen coordinate system. Each of the different representatives encodes all observable items of information about the state, for example the average momentum of a particle, the different versions being mutually interconvertible by one-to-one mathematical transformations. In general, a physical observation of a quantum system in a particular state gives a partly unpredictable result. The wave function, however, encodes probabilities of the possible results, through mathematical operators called observables. Each of the many possible modes of physical observation is encoded by its own mathematical observable. Each such observable generates a representation that encompasses all the possible particular states of the specific system. For a particular state and coordinate system, for each observable there is just one representative wave function.In non-relativistic quantum mechanics, disregarding spin, wave functions are solutions of the Schrödinger equation for the specific system, in a chosen representation, and coordinate system. This equation governs their dynamical behavior over time. Because the Schrödinger equation is mathematically a wave equation, a wave function behaves in some respects like other waves, such as water waves or waves on a string. This explains the name \"wave function\", and gives rise to wave–particle duality. The wave of the wave function, however, is not a wave in ordinary physical space; it is a wave in an abstract mathematical \"space\", and in this respect it differs fundamentally from water waves or waves on a string.The unit of measurement for ψ depends on the system, and can be found by dimensional analysis of the normalization condition for the system. For one particle in three dimensions, its units are [length]−3/2, because an integral of |ψ|2 over a region of three-dimensional space is a dimensionless probability."@en }

• Wave_function abstract "A wave function in quantum mechanics is a mathematical object that represents a particular pure quantum state of a specific isolated system of one or more particles. It is a central entity in quantum mechanics. The most common symbols for a wave function are the Greek letters ψ or Ψ (lower-case and capital psi).A single wave function describes the entire system, covering at once all the particles in it. For the one state, however, there are many different wave functions, each giving its respective version, or representative description, in a chosen coordinate system. Each of the different representatives encodes all observable items of information about the state, for example the average momentum of a particle, the different versions being mutually interconvertible by one-to-one mathematical transformations. In general, a physical observation of a quantum system in a particular state gives a partly unpredictable result. The wave function, however, encodes probabilities of the possible results, through mathematical operators called observables. Each of the many possible modes of physical observation is encoded by its own mathematical observable. Each such observable generates a representation that encompasses all the possible particular states of the specific system. For a particular state and coordinate system, for each observable there is just one representative wave function.In non-relativistic quantum mechanics, disregarding spin, wave functions are solutions of the Schrödinger equation for the specific system, in a chosen representation, and coordinate system. This equation governs their dynamical behavior over time. Because the Schrödinger equation is mathematically a wave equation, a wave function behaves in some respects like other waves, such as water waves or waves on a string. This explains the name \"wave function\", and gives rise to wave–particle duality. The wave of the wave function, however, is not a wave in ordinary physical space; it is a wave in an abstract mathematical \"space\", and in this respect it differs fundamentally from water waves or waves on a string.The unit of measurement for ψ depends on the system, and can be found by dimensional analysis of the normalization condition for the system. For one particle in three dimensions, its units are [length]−3/2, because an integral of |ψ|2 over a region of three-dimensional space is a dimensionless probability.".