bloch equation वाक्य
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- Bloch equations are phenomenological equations that were introduced by Felix Bloch in 1946.
- They are analogous to the Maxwell-Bloch equations.
- Terahertz transitions in solids can be systematically approached by generalizing the semiconductor Bloch equations and the related many-body correlation dynamics.
- In 1956, H . C . Torrey mathematically showed how the Bloch equations for magnetization would change with the addition of diffusion.
- The observability of quantum jumps was predicted by Hans Dehmelt in 1975, and they were first observed using optical Bloch equations are not consistent with quantum jumps.
- The SLR algorithm simplifies the solution of the Bloch equations to the design of two polynomials, which can be solved using well-known digital filter design algorithms.
- A direct solution to the pulse design problem was independently proposed by Shinnar and Le Roux based on a discrete approximation to the spin domain version of the Bloch equations.
- Bloch equations are " macroscopic " : they describe the equations of motion of macroscopic nuclear magnetization that can be obtained by summing up all nuclear magnetic moment in the sample.
- Structurally, the SLEs resemble the semiconductor Bloch equations ( SBEs ) if the \ Pi _ { \ omega, \ mathbf { k } } are compared with the microscopic polarization within the SBEs.
- Only if one sets V _ { \ mathbf { k } } to zero, one finds isolated transitions within each { \ mathbf { k } } state that follow exactly the same dynamics as the optical Bloch equations predict.
- The convenience of the two-level atom is that any two-level system evolves in essentially the same way as a spin-1 / 2 system, in accordance to the Bloch equations, which define the dynamics of the pseudo-spin vector in an electric field:
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