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searching for Normal coordinates 19 found (33 total)

Molecular vibration (2,706 words) [view diff] exact match in snippet view article find links to article

Note that these coordinates do not correspond to normal modes (see #Normal coordinates). In other words, they do not correspond to particular frequencies

Phonon (6,735 words) [view diff] exact match in snippet view article find links to article

continuous variable x of scalar field theory. The Qk are known as the normal coordinates, continuum field modes φk. Substitution into the equation of motion

GF method (1,840 words) [view diff] exact match in snippet view article find links to article

coordinates for a vibrating semi-rigid molecule, the so-called normal coordinates Qk. Normal coordinates decouple the classical vibrational motions of the molecule

Molecular Hamiltonian (4,808 words) [view diff] exact match in snippet view article find links to article

quantities Q s, iγ are the components of the normal coordinates introduced above. Alternatively, normal coordinates may be obtained by application of Wilson's

Exponential map (Lie theory) (2,213 words) [view diff] exact match in snippet view article

names such as logarithmic coordinates, exponential coordinates or normal coordinates. See the closed-subgroup theorem for an example of how they are used

Brans–Dicke theory (2,266 words) [view diff] exact match in snippet view article find links to article

By evaluating the δ Γ {\displaystyle \delta \Gamma } s in Riemann normal coordinates, 6 individual terms vanish. 6 further terms combine when manipulated

Flow separation (1,103 words) [view diff] exact match in snippet view article find links to article

\partial y^{2}}} where s,y{\displaystyle s,y} are streamwise and normal coordinates. An adverse pressure gradient is when dp/ds>0{\displaystyle dp/ds>0}

Laplace transform (8,159 words) [view diff] exact match in snippet view article find links to article

maint: location missing publisher (link) Bromwich, Thomas J. (1916), "Normal coordinates in dynamical systems", Proceedings of the London Mathematical Society

Quantum harmonic oscillator (6,825 words) [view diff] exact match in snippet view article find links to article

the more convenient Fourier space. We introduce, then, a set of N "normal coordinates" Qk, defined as the discrete Fourier transforms of the xs, and N "conjugate

Marcus theory (5,590 words) [view diff] exact match in snippet view article find links to article

quadratic, here, however, as a consequence of vibrations. The equilibrium normal coordinates differ in Fe(H2O)62+ and Fe(H2O)63+. By thermal excitation of the

CAT(k) space (1,953 words) [view diff] exact match in snippet view article

rr¨+r˙2≥1.{\displaystyle r{\ddot {r}}+{\dot {r}}^{2}\geq 1.} Changing to normal coordinates u, v at c(t), this inequality becomes u2 + H−1Hrv2 ≥ 1, where (u,v)

High resolution electron energy loss spectroscopy (2,725 words) [view diff] exact match in snippet view article find links to article

scattering amplitudes in the specular direction vanish for modes whose normal coordinates are odd under the reflection. When the axis normal to the surface

John M. Lee (782 words) [view diff] exact match in snippet view article find links to article

JSTOR 2374543 Jerison, David; Lee, John M. (1989), "Intrinsic CR normal coordinates and the CR Yamabe problem", Journal of Differential Geometry, 29 (2):

Harrington Bridge (557 words) [view diff] case mismatch in snippet view article find links to article

Leicestershire river bank showing the river running much higher than normal Coordinates 52°52′31″N 1°18′04″W / 52.8754°N 1.3012°W / 52.8754; -1.3012 Carries

Glorieta La Normal (139 words) [view diff] case mismatch in snippet view article find links to article

Glorieta La Normal Location Guadalajara, Jalisco, Mexico Glorieta La Normal Coordinates: 20°41′43″N 103°20′55″W / 20.6952°N 103.3485°W / 20.6952; -103

Tektronix 4010 (5,167 words) [view diff] exact match in snippet view article find links to article

entered with the ASCII Record Separator (RS) character, replaced the normal coordinates with single-character directions. For instance, sending E moved up

Joseph Miller Thomas (664 words) [view diff] no match in snippet view article find links to article

with Oswald Veblen: Veblen, O.; Thomas, J. M. (1925). "Projective Normal Coördinates for the Geometry of Paths". Proceedings of the National Academy of

Rindler coordinates (7,759 words) [view diff] exact match in snippet view article find links to article

described above can be generalized to curved spacetime, as Fermi normal coordinates. The generalization essentially involves constructing an appropriate

List of formulas in Riemannian geometry (4,299 words) [view diff] exact match in snippet view article find links to article

at other points in the frame). These coordinates are also called normal coordinates. In such a frame, the expression for several operators is simpler