In physics, the **Heisenberg picture** is a formulation (made by Werner Heisenberg while on Heligoland in the 1920s) of quantum mechanics in which the operators (observables and others) incorporate a dependency on time, but the state vectors are time-independent. It stands in contrast to the Schrödinger picture in which the operators are constant and the states evolve in time. The two models only differ by a basis change with respect to time-dependency, which is the difference between active and passive transformation. The Heisenberg picture is the formulation of matrix mechanics in an arbitrary basis, in which the Hamiltonian is not necessarily diagonal.

Read more about Heisenberg Picture: Mathematical Details, Deriving Heisenberg's Equation, Commutator Relations

### Other articles related to "picture, heisenberg picture, heisenberg":

... In the so-called Schrödinger

**picture**of quantum mechanics, the dynamics is given as follows The time evolution of the state is given by a ... The

**Heisenberg picture**of quantum mechanics focuses on observables and instead of considering states as varying in time, it regards the states as fixed and the observables ... To go from the Schrödinger to the

**Heisenberg picture**one needs to define time-independent states and time-dependent operators thus It is then easily checked that the ...

**Heisenberg Picture**

... which describes the action of Φ in the

**Heisenberg picture**The spaces of operators L(HA) and L(HB) are Hilbert spaces with the Hilbert-Schmidt inner product ... This relationship is same as that between the Schrödinger and

**Heisenberg**descriptions of dynamics ... Physically speaking, this means that, in the

**Heisenberg picture**, the trivial observable remains trivial after applying the channel ...

**Heisenberg Picture**

... This approach is called the

**Heisenberg picture**... as fixed, while the state of the system depends on time that is known as the Schrödinger

**picture**... While non-relativistic quantum mechanics is usually formulated in terms of the Schrödinger

**picture**, the

**Heisenberg picture**is often preferred in a ...

**Heisenberg Picture**- Commutator Relations

... are quite different than in the Schrödinger

**picture**because of the time dependency of operators ...

... See also Schrödinger

**picture**To make the transition to modern quantum mechanics, the most important further addition was the quantum state vector ... not clear which particular motion the

**Heisenberg**matrices are describing, since they include all the motions somewhere ... The

**Heisenberg**equation of motion in its original form states that Amn evolves in time like a Fourier component which can be recast in differential form and ...

### Famous quotes containing the word picture:

“But what now grips his fancy is her face,

And how the cunning *picture* holds her still

At just that smiling instant when her soul,

Grown sweetly faint, and swept beyond control,

Consents to his inexorable will.”

—Richard Wilbur (b. 1921)