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

Abstract

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-lying spectrum is shown decreasing with winding number N.

14 pp., 3 figs

References in corpus (11)

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Cited by in corpus (6)

• N-site-lattice analogues of $V(x)=i{x}^3$
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• Log-anharmonic oscillator and its large-N solution
• The large-g observability of the low-lying energies in the strongly singular potentials $V(x)=x^2+g^2/x^6$ after their PT-symmetric regularization
• Planarizable Supersymmetric Quantum Toboggans
• Cryptohermitian Hamiltonians on graphs. II. Hermitizations