Variational wave functions for homogenous Bose systems

Variational polaron method for Bose-Bose mixtures

Variational principle for nonlinear wave propagation in dissipative systems.

The dynamics of many natural systems is dominated by nonlinear waves propagating through the medium. We show that in any extended system that supports nonlinear wave fronts with positive surface tension, the asymptotic wave-front dynamics can be formulated as a gradient system, even when the underlying evolution equations for the field variables cannot be written as a gradient system. The varia...

Variational Wave Functions of a Vortex in Cyclotron Motion

In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational states of a vortex in a cylinder and the cyclotron states of an electron in the central gauge is found. Like the Landau levels of an electron, the energy le...

Variational Perturbation Approach to Resonance-State Wave Functions

The variational perturbation theory for wave functions, which has been shown to work well for bound states of the anharmonic oscillator, is applied to resonance states of the anharmonic oscillator with negative coupling constant. We obtain uniformly accurate wave functions starting from the bound states. PACS numbers: 02.30.Mv; 11.15.Tk Typeset using REVTEX 1 Perturbation for wave functions of ...

Variational methods with coupled Gaussian functions for Bose-Einstein condensates with long-range interaction