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Ukraine
Painting, Acrylic on Paper
Size: 27.6 W x 37 H x 0.1 D in
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Mayram Maryam, "Vega & Nonlinear Schrödinger Equation", 2017, acrylic on paper (mixed media), 94 x 70 cm. In theoretical physics, the (one-dimensional) nonlinear Schrödinger equation (NLSE) is a nonlinear variation of the Schrödinger equation. It is a classical field equation whose principal applications are to the propagation of light in nonlinear optical fibers and planar waveguides and to Bose-Einstein condensates confined to highly anisotropic cigar-shaped traps, in the mean-field regime. Additionally, the equation appears in the studies of small-amplitude gravity waves on the surface of deep inviscid (zero-viscosity) water; the Langmuir waves in hot plasmas; the propagation of plane-diffracted wave beams in the focusing regions of the ionosphere; the propagation of Davydov's alpha-helix solitons, which are responsible for energy transport along molecular chains; and many others. More generally, the NLSE appears as one of universal equations that describe the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear media that have dispersion. Unlike the linear Schrödinger equation, the NLSE never describes the time evolution of a quantum state (except hypothetically, as in some early attempts in the 1970s, to explain the quantum measurement process). The 1D NLSE is an example of an integrable model. In quantum mechanics, the 1D NLSE is a special case of the classical nonlinear Schrödinger field, which in turn is a classical limit of a quantum Schrödinger field. Conversely, when the classical Schrödinger field is canonically quantized, it becomes a quantum field theory (which is linear, despite the fact that it is called ″quantum nonlinear Schrödinger equation″) that describes bosonic point particles with delta-function interactions — the particles either repel or attract when they are at the same point. In fact, when the number of particles is finite, this quantum field theory is equivalent to the Lieb–Liniger model. Both the quantum and the classical 1D nonlinear Schrödinger equations are integrable. Of special interest is the limit of infinite strength repulsion, in which case the Lieb–Liniger model becomes the Tonks–Girardeau gas (also called the hard-core Bose gas, or impenetrable Bose gas). In this limit, the bosons may, by a change of variables that is a continuum generalization of the Jordan–Wigner transformation, be transformed to a system one-dimensional noninteracting spinless fermions. The nonlinear Schrödinger equation is a simplified 1+1-dimensional form of the Ginzburg–Landau equation introduced in 1950 in their work on superconductivity, and was written down explicitly by R. Y. Chiao, E. Garmire, and C. H. Townes (1964, equation) in their study of optical beams. Multi-dimensional version replaces the second spatial derivative by the Laplacian. In more than one dimension, the equation is not integrable, it allows for a collapse and wave turbulence.
Painting:Acrylic on Paper
Original:One-of-a-kind Artwork
Size:27.6 W x 37 H x 0.1 D in
Frame:Not Framed
Ready to Hang:Not applicable
Packaging:Ships Rolled in a Tube
Delivery Time:Typically 5-7 business days for domestic shipments, 10-14 business days for international shipments.
Handling:Ships rolled in a tube. Artists are responsible for packaging and adhering to Saatchi Art’s packaging guidelines.
Ships From:Ukraine.
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Ukraine
Mayram Maryam is a Master of Fine Arts (MFA) Above the valleys and the lakes: beyond The woods, seas, clouds and mountain-ranges: far Above the sun, the aethers silver-swanned With nebulae, and the remotest star, My spirit! with agility you move Like a strong swimmer with the seas to fight, Through the blue vastness furrowing your groove With an ineffable and male delight. Far from these foetid marshes, be made pure In the pure air of the superior sky, And drink, like some most exquisite liqueur, The fire that fills the lucid realms on high. Beyond where cares or boredom hold dominion, Which charge our fogged existence with their spleen, Happy is he who with a stalwart pinion Can seek those fields so shining and serene: Whose thoughts, like larks, rise on the freshening breeze Who fans the morning with his tameless wings, Skims over life, and understands with ease The speech of flowers and other voiceless things.
Artist featured by Saatchi Art in a collection
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