canonical momentum वाक्य
उदाहरण वाक्य
मोबाइल
- In brief, the basic variables are the quantum field and its canonical momentum.
- The canonical momentum is the conserved quantity.
- The Lagrangian indicates an additional detail : the canonical momentum in Lagrangian mechanics is given by:
- Where is the scalar potential and the vector potential, the components of the canonical momentum four-vector is
- Which constitute the standard formulae for canonical momentum and energy of a closed ( time-independent Lagrangian ) system.
- Where the second equality holds after simplifying with the Euler-Lagrange equations of motion and the definition of canonical momentum.
- The classical field is treated as a dynamical variable called the canonical coordinate, and its time-derivative is the canonical momentum.
- For instance the Heisenberg equations for the coordinate and the canonical momentum " m " "'? "'} } of the oscillator are:
- When describing the motion of a charged particle in an electromagnetic field, the canonical momentum "'P "'( derived from the Lagrangian for this system ) is not gauge invariant.
- For landmarks the superposition is a sum of weight kernels weighted by the canonical momentum which determines the inner product, for surfaces it is a surface integral, and for dense volumes it is a volume integral.
- The " kinetic momentum " is different from the " canonical momentum " ( synonymous with the generalized momentum ) conjugate to the ordinary position coordinates, because includes a contribution from the electric potential and vector potential:
- A 2010 study suggested that " both " equations are correct, with the Abraham version being the kinetic momentum and the Minkowski version being the canonical momentum, and claims to explain the contradicting experimental results using this interpretation.
- Although the quantity is the " physical momentum ", in that it is the quantity to be identified with momentum in laboratory experiments, it " does not " satisfy the canonical commutation relations; only the canonical momentum does that.
- From speaking to people, they seemed to imply that finding canonical momentum was simple, am I missing the point, or have they just assumed that the conserved quantities are the same in 2 + 1D as 3 + 1D ? Preceding talk ) 01 : 45, 4 February 2010 ( UTC)
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