Frank Szmulowicz 2004 Eur. J. Phys. 25 569 doi:10.1088/0143-0807/25/4/011
Solvable coupled Hamiltonian for a periodic potential
Frank Szmulowicz
Show affiliationsParticle motion in a periodic potential is well known as the Kronig–Penney (KP) problem. Another physically meaningful structure is a periodic system that supports two kinds of particles that interact only at the interfaces (IF) of the system, leading to a coupled KP problem. Here, this nontrivial extension of the KP problem is solved analytically and insights are drawn about the resulting band structure, the possibility of IF bound states, and competition between size quantization and carrier localization at IFs, and wavefunction hybridization.
- PACS
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73.20.At Surface states, band structure, electron density of states
- Subjects
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Condensed matter: electrical, magnetic and optical
- Dates
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Issue 4 (16 July 2004)
Received 28 January 2004
Published 28 May 2004
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Solvable coupled Hamiltonian for a periodic potential
Frank Szmulowicz 2004 Eur. J. Phys. 25 569
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