Matches in DBpedia 2014 for { ?s ?p In quantum mechanics, dynamical pictures are the multiple equivalent ways to mathematically formulate the dynamics of a quantum system.The two most important are the Heisenberg picture and the Schrödinger picture. These differ only by a basis change with respect to time-dependency, which is the difference between active and passive transformations. In short, time dependence is ascribed to quantum states in the Schrödinger picture and to operators in the Heisenberg picture. There is also an intermediate formulation known as the interaction picture (or Dirac picture) which is useful for doing computations when a complicated Hamiltonian has a natural decomposition into a simple "free" Hamiltonian and a perturbation.Equations that apply in one picture do not necessarily hold in the others because time-dependent unitary transformations relate operators in one picture to the analogous operators in the others. Not all textbooks and articles make explicit which picture each operator comes from, which can lead to confusion.. }
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- Dynamical_pictures_(quantum_mechanics) abstract "In quantum mechanics, dynamical pictures are the multiple equivalent ways to mathematically formulate the dynamics of a quantum system.The two most important are the Heisenberg picture and the Schrödinger picture. These differ only by a basis change with respect to time-dependency, which is the difference between active and passive transformations. In short, time dependence is ascribed to quantum states in the Schrödinger picture and to operators in the Heisenberg picture. There is also an intermediate formulation known as the interaction picture (or Dirac picture) which is useful for doing computations when a complicated Hamiltonian has a natural decomposition into a simple "free" Hamiltonian and a perturbation.Equations that apply in one picture do not necessarily hold in the others because time-dependent unitary transformations relate operators in one picture to the analogous operators in the others. Not all textbooks and articles make explicit which picture each operator comes from, which can lead to confusion.".