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Category: Journal of Mathematical Physics

Exactly solvable piecewise analytic double well potential VD(x) = min[(x + d)2, (x − d)2] and its dual single well potential VS(x) = max[(x + d)2, (x − d)2]

Exactly solvable piecewise analytic double well potential VD(x) = min[(x + d)2, (x − d)2] and its dual single well potential VS(x) = max[(x + d)2, (x − d)2]

Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. By putting two harmonic oscillator potentials x2 side by side with a separation 2d, two exactly solvable piecewise analytic quantum systems with a free parameter d > 0 are obtained….