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10 025 (0,236s) •

Result

Asymptotic Solvability of an Imaginary Cubic Oscillator with Spikes

Not available...

BE - Teoretická fyzika

  • 2002
    • •
  • Jx
Result

On the pseudospectrum of the harmonic oscillator with imaginary cubic potential

We study the Schrödinger operator with a potential given by the sum of the potentials for harmonic oscillator and imaginary cubic oscillator and we focus on its pseudospectral properties. A summary of known results...

BE - Teoretická fyzika

  • 2015
    • •
  • Jx
    • •
  • Link
Result

Topology-controlled spectra of imaginary cubic oscillators in the large-l approach

For quantum (quasi)particles living on complex toboggan-shaped curves which spread over N Riemann sheets the approximate evaluation of topology-controlled bound-state energies is shown feasible. In a cubic-oscillator model the low-l...

BE - Teoretická fyzika

  • 2010
    • •
  • Jx
Result

On the metric operator for the imaginary cubic oscillator

We show that the eigenvectors of the PT-symmetric imaginary cubic oscillator are complete, but do not form a Riesz basis. This results in the existence of a bounded metric operator having intrinsic singularity reflected in ...

BE - Teoretická fyzika

  • 2012
    • •
  • Jx
    • •
  • Link
Result

PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes

The pseudo-perturbative shifted-l expansion technique (PSLET) i shown to be applicable in the non-Hermitian PT-symmetric context. The construction of bound states for several PT-symmetric potentials is presented, with special attention paid to V(r) =...

BE - Teoretická fyzika

  • 2002
    • •
  • Jx
Result

Dynamics of charged fluids and 1/l perturbation expansions

Some features of the calculation of fluid dynamo systems (spherically symmetric alpha(2)- dynamos) in magnetohydrodynamics are studied, the problem connected with the presence of mixed (Robin) boundary conditions is addressed and a new treatment for ...

BE - Teoretická fyzika

  • 2007
    • •
  • Jx
Result

N-site-lattice analogues of V(x) = ix(3)

A discrete N-level alternative to the popular imaginary cubic oscillator is proposed and studied. As usual, the unitarity of evolution is guaranteed by the introduction of an ad hoc, Hamiltonian-dependent inner-product metr...

BE - Teoretická fyzika

  • 2012
    • •
  • Jx
    • •
  • Link
Result

Cubic scaling GW: Towards fast quasiparticle calculations

calculations with a scaling that is cubic in the system size and linear in the number of k the polarizability and self-energy in the real-space and imaginary-time domains. The transformation from the imaginary time to the ...

CF - Fyzikální chemie a teoretická chemie

  • 2016
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  • Jx
    • •
  • Link
Result

Law of inertia for the factorization of cubic polynomials - the imaginary case

Let D be a square-free positive integer not divisible by 3 such that the class number h(-3D) of Q((-3D)^(1/2)) is also not divisible by 3. We prove that all cubic polynomials f (x) = x^3 + ax^2 + bx + c in Z[x] with a discriminant D have the...

Pure mathematics

  • 2017
    • •
  • Jimp
    • •
  • Link
Result

Four-Dimensional Visual Exploration of the Complex Number Plane

-dimensional subspaces generated by both real and one of the imaginary dimensions. The same method is used to trace and visualize other real and imaginary conics and a cubic plane is extended with the imaginary dim...

Education, general; including training, pedagogy, didactics [and education systems]

  • 2023
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  • C
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  • Link
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