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・ Gaussian period
・ Gaussian polar coordinates
・ Gaussian process
・ Gaussian process emulator
・ Gaussian q-distribution
・ Gaussian quadrature
・ Gaussian quantum Monte Carlo
・ Gaussian random field
・ Gaussian rational
・ Gaussian surface
・ Gaussian units
・ Gaussian year
・ Gaussig House
・ Gaussiran Glacier
・ Gausson
Gausson (physics)
・ Gauss–Boaga projection
・ Gauss–Bonnet gravity
・ Gauss–Bonnet theorem
・ Gauss–Codazzi equations
・ Gauss–Hermite quadrature
・ Gauss–Jacobi quadrature
・ Gauss–Kronrod quadrature formula
・ Gauss–Krüger coordinate system
・ Gauss–Kuzmin distribution
・ Gauss–Kuzmin–Wirsing operator
・ Gauss–Laguerre quadrature
・ Gauss–Legendre algorithm
・ Gauss–Legendre method
・ Gauss–Lucas theorem


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Gausson (physics) : ウィキペディア英語版
Gausson (physics)
Gausson is a soliton which is the solution of the Schrödinger equation with the logarithmic nonlinearity which describes a quantum particle in the possible nonlinear quantum mechanics but still preserving
the dimensional homogeneity of the equation i.e. the property that the product of the independent solutions in one dimension remains the solution in two dimensions etc.
despite of the nonlinearity or that the nonlinearity alone cannot cause the quantum entanglement between dimensions without the interaction and therefore it still can be solved by the separation of variables.

Let the nonlinear Schrödinger equation in one dimension will be given by (\hbar = 1):
:i = -\frac \frac- a \ln |\psi|^2\psi
Let assume the Galilean invariance i.e.
:\frac\psi(x-k t)
Substituting
:\frac \left( +ik}\right)^2 -a \ln |\psi|^2 \psi=\left( E + \frac \right) \psi
Substituting additionally

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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