Schroedinger equations with indefinite effective mass

Abstract

The consistency of the concept of quantum (quasi)particles possessing effective mass which is both position- and excitation-dependent is analyzed via simplified models. It is shown that the system may be stable even when the effective mass m=m(x,E) itself acquires negative values in a limited range of coordinates x and energies E.

17 pp., 3 figs

References in corpus (4)

• A new effective mass Hamiltonian and associated Lame equation: bound states
• Scattering in the PT-symmetric Coulomb potential
• Asymptotically vanishing PT-symmetric potentials and negative-mass Schroedinger equations
• Linear representation of energy-dependent Hamiltonians

Cited by in corpus (10)

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• Position-dependent mass Dirac equation and local Fermi velocity
• Exploring Branched Hamiltonians for a Class of Nonlinear Systems
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Sign-indefinite second order differential operators on finite metric graphs
• Isochronous oscillator with a singular position-dependent mass and its quantization
• CPT-conserved effective mass Hamiltonians through first and higher order charge operator C in a supersymmetric framework
• Markov constant and quantum instabilities
• Spectral analysis of metamaterials in curved manifolds
• Non-hermitian Dirac Hamiltonian in the presence of local Fermi velocity