imaging (MRI), and electron spin resonance (ESR), the Bloch equations are a set of macroscopic equations that are used to calculate the nuclear magnetization...

equivalent to) the Bloch equations which describe the motion of the nuclear magnetic moment in an electromagnetic field. The equations can be derived either...

the NMR signal. The equation listed above in the section on T1 and T2 relaxation are those in the Bloch equations. Solomon equations are used to calculate...

The semiconductor Bloch equations (abbreviated as SBEs) describe the optical response of semiconductors excited by coherent classical light sources, such...

_{z}\right)\psi } The optical Bloch equations for a collection of spin-1/2 particles can be derived from the time dependent Schrödinger equation for a two level system...

{\displaystyle M} is a vector, there are 3 diffusion equations, one for each dimension. The Bloch-Torrey equation is: d M → d t = γ M → × B → − M x i → + M y j...

which are the underlying principles of MRI. In 1946 he proposed the Bloch equations which determine the time evolution of nuclear magnetization. He was...

be described by a set of two equations, the so-called optical Bloch equations. These equations are named after Felix Bloch who formulated them in order...

In condensed matter physics, Bloch's theorem states that solutions to the Schrödinger equation in a periodic potential can be expressed as plane waves...

SBE may refer to: Sacred Books of the East Semiconductor Bloch equations Social, behavioral, environmental and medical sciences Society of Broadcast Engineers...

equation of Landau and Lifshitz. The LLG equation is similar to the Bloch equation, but they differ in the form of the damping term. The LLG equation...

_{ge}+\rho _{eg})} Here is where the optical Bloch equations will come in handy, they give us an equation to understand the dynamics of the density matrix...

emerging in semiconductor quantum optics. Semiconductor Bloch equations Semiconductor luminescence equations Semiconductor optical gain Coherent effects in semiconductor...

can be applied to generalize the semiconductor Bloch equations and semiconductor luminescence equations. Quantum theory essentially replaces classically...

The Bethe formula or Bethe–Bloch formula describes the mean energy loss per distance travelled of swift charged particles (protons, alpha particles, atomic...

Wannier equation considerably. The resulting generalized Wannier equation can be determined from the homogeneous part of the semiconductor Bloch equations or...

{1}{T2}}=R2} . Magnetization as a function of time is defined by the Bloch equations. T1 and T2 values are dependent on the chemical environment of the...

systems stem from Maxwell–Bloch equations (MBE). This full set of Partial Differential Equations includes Maxwell equations for electromagnetic field...

can be systematically approached by generalizing the semiconductor Bloch equations and the related many-body correlation dynamics. At this level, one...

Bloch Auditorium, Hewlett Teaching Center room 201, Stanford University Bloch Beamline at MAX IV Laboratory Bloch Fellowship in quantum science and engineering...

excites a polarization that can be described with the semiconductor Bloch equations. Once the photons are absorbed, electrons and holes are formed with...

In quantum mechanics and computing, the Bloch sphere is a geometrical representation of the pure state space of a two-level quantum mechanical system...

probability of finding the atom in the excited state is found from the Bloch equations to be | c b ( t ) | 2 ∝ sin 2 ⁡ ( ω t / 2 ) , {\displaystyle |c_{b}(t)|^{2}\propto...

generalization of this equation requires that space and time derivatives must enter symmetrically as they do in the Maxwell equations that govern the behavior...

to the spin domain version of the Bloch equations. The SLR algorithm simplifies the solution of the Bloch equations to the design of two polynomials,...

spectroscopy. The behaviour of the evolving system is described by optical Bloch equations. First, a short (typically 0-3 microsecond duration) microwave pulse...

frequency as in equation (1.1.3). On the other hand, k0 in the equations above comes from the assumed Bloch wave solution given by equations (1.2.1) & (1...

nonrelativistic energy equations. The Klein–Gordon equation and the Dirac equation are two such equations. The Klein–Gordon equation, − 1 c 2 ∂ 2 ∂ t 2 ψ...

for Maxwell–Bloch equations authored by Brian McNeil suggests that "These coupled equations were not actually derived by Maxwell and Bloch, but instead...

motion using the above equations, one need only consider external fields, while attempting the calculation from a set of equations of motion based on true...