In physics, Berry connection and Berry curvature are related concepts which can be viewed, respectively, as a local gauge potential and gauge field associated with the Berry phase or geometric phase. The concept was first introduced by S. Pancharatnam[1] as geometric phase and later elaborately explained and popularized by Michael Berry in a paper published in 1984[2] emphasizing how geometric phases provide a powerful unifying concept in several branches of classical and quantum physics.
^Pancharatnam, S. (November 1956). "Generalized theory of interference, and its application". Proc. Indian Acad. Sci. 44 (5): 247–262. doi:10.1007/BF03046050. S2CID 118184376.
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Berry, M. V. (1984). "Quantal Phase Factors Accompanying Adiabatic Changes". Proceedings of the Royal Society A. 392 (1802): 45–57. Bibcode:1984RSPSA.392...45B. doi:10.1098/rspa.1984.0023. S2CID 46623507.
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In physics, BerryconnectionandBerrycurvature are related concepts which can be viewed, respectively, as a local gauge potential and gauge field associated...
Depending on the dimensionality and symmetries of the system, the curvature function can be a Berryconnection, a Berrycurvature, or a more complicated object...
electrons and α = 0 {\displaystyle \alpha =0} of electrons in graphene. Riemann curvature tensor – for the connection to mathematics Berryconnectionand curvature...
dimensions. One example is the Riemann curvature tensor. A vector v, is shown with two coordinate grids, ex and er. In space, there is no clear coordinate...
curvature of the horizon has been widely attributed to Auguste Piccard and Paul Kipfer on 27 May 1931. Brand, V. (1977). "Submersibles - Manned and Unmanned"...
cases where the inside curve of the crescent has a smaller radius of curvature than the outer, the opposite of what happens with the moon. Jay M. Pasachoff...
growth regime called diffusion controlled growth. In such cases surface curvature can play a major role, for instance leading to spikes originating at the...
The Way You Sit Will Never Be the Same! Alterations of Lumbosacral Curvatureand Intervertebral Disc Morphology in Normal Subjects in Variable Sitting...
crucial role. During his adolescence, and due to a cause that is unknown, Richard developed a sideways curvature of the spine (scoliosis). In 2014, after...
constant curvature − 1 {\displaystyle -1} . The same family is flat with respect to the (±1)-connections ∇ ( e ) {\displaystyle \nabla ^{(e)}} and ∇ ( m...
the centre of curvature. b. Smith NF (April 1973). "Bernoulli, Newton, and Dynamic Lift Part II*: Bernoulli or Newton?". School Science and Mathematics...
for near vision: to reduce spherical aberration and increase depth of field. Changing the curvature of the lens is carried out by the ciliary muscles...
which it, as a canonical curve, has linear syzygies. Grothendieck–Katz p-curvature conjecture: a conjectured local–global principle for linear ordinary differential...
Thomas Berry, South African attorney Cormac Cullinan, Indian physicist and eco-social advocate Vandana Shiva, and Canadian law professor and U.N. Special...
are discrete simplifications of vector calculus. Slope, aspect, and surface curvature in terrain analysis are all derived from neighborhood operations...
have been found that seem to show they attached to the ankles. The exact curvature of the trailing edge, however, is still equivocal. While historically...
long straight strokes and fine serifs and to harmonise in curvature with them. The strokes are thinner than those of Jenson and his school...the letters...
result. For her first few years, Mahalia was nicknamed "Fishhooks" for the curvature of her legs. The Clarks were devout Baptists attending nearby Plymouth...
curvature tensor. The concept of Newton's gravity: "two masses attract each other" replaced by the geometrical argument: "mass transform curvatures of...
logic, proposed by George Boole (1815–1864). 1876: Connection between energy, matter and the curvature of space proposed in s:On the Space-Theory of Matter...
'angle' and hamme means 'pastureland', but the meaning of hamma in this context is unknown. The angle might refer to a spit of land or to the curvature of...
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