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On Boundary Conditions for an Infinite Square-Well Potential in Quantum Mechanics

Ryoichi Seki

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Abstract

A well-known problem of an infinite square-well potential in quantum mechanics furnishes an interesting boundary condition. We investigate this in detail by considering the infinite square-well potential as a limiting case of an finite square-well potential.

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A well-known problem of an infinite square-well potential in quantum mechanics furnishes an interesting boundary condition. We investigate this in detail by considering the infinite square-well potential as a limiting case of an finite square-well potential.

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Available abstract

A well-known problem of an infinite square-well potential in quantum mechanics furnishes an interesting boundary condition. We investigate this in detail by considering the infinite square-well potential as a limiting case of an finite square-well potential.

Key concepts: Finite potential well, Physics, Square (algebra), Particle in a box, Limiting, Boundary value problem, Classical mechanics, Boundary (topology)

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