gordon equation वाक्य
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- A similar situation prevails for the Klein & ndash; Gordon equation.
- They may appear formally to resemble the Klein Gordon equation:
- This falls back to the Dirac equation and the Klein-Gordon equation.
- This relativistic wave equation is now most commonly known as the Klein Gordon equation.
- The Klein Gordon equation for a free particle has a simple plane wave solution.
- The Klein Gordon equation can be generalized to describe a field in some potential as:
- The Klein-Gordon equation gave negative probabilities and this is considered to be physically meaningless.
- A specific example is the Klein Gordon equation, the spinless particles, which has the Lagrangian density
- It turns out to work even in relativistic quantum mechanics, such as the Klein Gordon equation above.
- Which says that the Klein-Gordon equation describing the propagation of waves, constructed from relativistically invariant objects,
- However, the Schr�dinger equation does not apply to massless particles; instead the Klein-Gordon equation is required.
- A state or quantum field in such a representation would satisfy no field equation except the Klein-Gordon equation.
- For \ sigma = 0 the system is linear and the classical one-dimensional Klein Gordon equation is obtained.
- The Proca equation is closely related to the Klein Gordon equation, because it is second order in space and time.
- This criticism leveled against the Klein-Gordon equation, motivated Dirac to successfully seek an equation devoid of negative probabilities.
- Kruskal himself pioneered some of the generalizations, such as the existence of infinitely many conserved quantities for the sine-Gordon equation.
- Most of his work was on the deformation of surfaces, and in particular, he introduced the sine Gordon equation in 1862.
- The Klein Gordon equation was first considered as a quantum wave equation by Schr�dinger in his search for an equation describing de Broglie waves.
- Then the Codazzi-Mainardi equation expressing a compatibility condition between the first and second fundamental forms results in the sine-Gordon equation.
- The second member is indeed independent of time as can be shown by deriving and remembering that both and satisfy the Klein Gordon equation.
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