-
vacuum states. Its
hallmark under the
broken symmetry transformation is
nonvanishing vacuum expectation 〈δϕg〉, an
order parameter, for
vanishing 〈ϕg〉 = 0...
- (sometimes
called the
hedgehog theorem in Europe)
states that
there is no
nonvanishing continuous tangent vector field on even-dimensional n-spheres. For the...
-
theory of
smooth manifolds, the set of
integral curves defined by a
nonvanishing vector field defined on the
manifold Congruence (general relativity)...
-
recognize the more
formal statement of the theorem, that
there is no
nonvanishing continuous tangent vector field on the sphere. As with the
Bridges of...
- (1) by 0, −q, and μ respectively. Then the
constant function 1 is a
nonvanishing solution corresponding to the
eigenvalue μ0 = 0.
While there is no guarantee...
-
smooth manifolds, a
congruence is the set of
integral curves defined by a
nonvanishing vector field defined on the manifold.
Congruences are an
important concept...
- 3-sphere
admits nonvanishing vector fields (sections of its
tangent bundle). One can even find
three linearly independent and
nonvanishing vector fields...
- term
offset is
pedagogically significant,
since it
accounts for the
nonvanishing angular momentum of the ground-state Bohr
orbit in the
hydrogen atom...
- h ( x ) = 1 f ( x ) {\displaystyle h(x)={\frac {1}{f(x)}}} for any (
nonvanishing)
function f is: h ′ ( x ) = − f ′ ( x ) ( f ( x ) ) 2 {\displaystyle...
-
tensor densities, in the
sense that for an
orientable manifold it has a
nonvanishing global section, and its
tensor powers with any real
exponent may be defined...
