BAND EDGE EIGENFUNCTIONS AND EIGENVALUES FOR PERIODIC POTENTIALS THROUGH THE QUANTUM HAMILTON–JACOBI FORMALISM

DOI10.1142/S0217732304014197zbMath1063.81049arXivquant-ph/0312041OpenAlexW1553936663MaRDI QIDQ4819313

A. K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani

Publication date: 24 September 2004

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0312041

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (4)

Exactly solvable associated Lamé potentials and supersymmetric transformations ⋮ QUANTUM HAMILTON–JACOBI ANALYSIS OF PT SYMMETRIC HAMILTONIANS ⋮ EXACT SOLUTIONS OF NON-CENTRAL POTENTIALS ⋮ Bound states and band structure -- a unified treatment through the quantum Hamilton -Jacobi approach

Cites Work

• Unnamed Item
• Unnamed Item
• Duality and self-duality (Energy reflection symmetry) of quasi-exactly solvable periodic potentials
• Quasi-exactly solvable periodic and random potentials
• Energy Eigenvalues for a Class of One-Dimensional Potentials via Quantum Hamilton–Jacobi Formalism
• Quantum Hamilton–Jacobi Analysis of Phases of Supersymmetry in Quantum Mechanics
• On Lamé's equation of a particular kind
• Some exact results for mid-band and zero band-gap states of associated Lamé potentials
• New Soluble Energy Band Problem
• A study of quasi-exactly solvable models within the quantum Hamilton Jacobi formalism
• New solvable and quasiexactly solvable periodic potentials
• Associated Lamé and various other new classes of elliptic potentials from sl(2,R) and related orthogonal polynomials

This page was built for publication: BAND EDGE EIGENFUNCTIONS AND EIGENVALUES FOR PERIODIC POTENTIALS THROUGH THE QUANTUM HAMILTON–JACOBI FORMALISM