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Supersymmetry and quantum mechanics
In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why
Familial advanced sleep-phase syndrome: A short-period circadian rhythm variant in humans
Three kindreds with a profound phase advance of the sleep–wake, melatonin and temperature rhythms associated with a very short τ represent a well-characterized familial circadian rhythm variant in humans and provide a unique opportunity for genetic analysis of human circadian physiology.
Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production
We find that the single-particle distribution EdNd3p for an expanding relativistic gas described by a distribution function obeying the Boltzmann transport equation is not of the form of an integral
Solitons in the Camassa-Holm shallow water equation
Abstract We study the class of shallow water equations of Camassa and Hold derived from the Lagrangian, L = ∫ [ 1 2 ( ϕ x x x x − ϕ x ) ϕ t − 1 2 ( ϕ x ) 3 − 1 2 ϕ x ( ϕ x x ) 2 − 1 2 κ ϕ x 2 ] d x ,
Aspects of Supersymmetric Quantum Mechanics
Abstract We review the properties of supersymmetric quantum mechanics for a class of models proposed by Witten. Using both Hamiltonian and path integral formulations, we give general conditions for
Landau's hydrodynamic model of particle production and electron-positron annihilation into hadrons*
The hydrodynamic model of Landau is formulated in very general terms and applied to the determination of average energy of secondaries, and single-particle inclusive distributions of secondaries.
Nonlinear Dirac equation solitary waves in external fields.
The accuracy of the variational approximation using numerical simulations of the NLDE is investigated and it is found that, when the forcing term is small and the solitary wave is stable, that the behavior of the solutions of the collective coordinate equations agrees very well with the numerical simulations.
Compactons in PT-symmetric generalized Korteweg-de Vries equations
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau and