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Theory and Modern Applications

Table 2 The ground states of a dipolar BEC for different λ and β with fixed values of λ/β = 0.4.

From: A mass conserved splitting method for the nonlinear Schrödinger equation

λ, β

ϕ g (0)

E kin g

E pot g

E int g

E dip g

E g

μ g

x rms g

λ = 0.2, β = 0.5

0.747990

0.247231

0.252333

0.099135

0.171511

0.427188

0.354812

0.710398

λ = 0.1, β = 0.25

0.749946

0.248765

0.250757

0.049763

0.085918

0.463367

0.427212

0.708176

λ = 0.02, β = 0.05

0.751125

0.249513

0.250000

0.009974

0.017201

0.492285

0.485058

0.707106

λ = 0.02, β = 0.05

0.751581

0.249878

0.249634

0.009983

0.017208

0.506737

0.513963

0.706589

λ = 0.1, β = 0.25

0.753250

0.251210

0.248312

0.050082

0.086181

0.535622

0.571721

0.704716

λ = 0.2, β = 0.5

0.755449

0.253038

0.246533

0.100613

0.172734

0.571693

0.643814

0.702187