Two Algorithms for Constructing Solvable Quantum $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k-Body Models
Sign Up to like & getrecommendations! Published in 2018 at "Few-Body Systems"
DOI: 10.1007/s00601-018-1447-y
Abstract: In this work, we provide two algorithms to construct solvable quantum many-body models of $$N\cdot 2^k$$N·2k and $$N\cdot 3^k$$N·3k particles. Each algorithm will start with a solvable model and generate a series of solvable Hamiltonians… read more here.
Keywords: solvable quantum; two algorithms; body models; cdot cdot ... See more keywords
On some conditionally solvable quantum-mechanical problems
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DOI: 10.1088/1402-4896/abb252
Abstract: We analyze two conditionally solvable quantum-mechanical models: a one-dimensional sextic oscillator and a perturbed Coulomb problem. Both lead to a three-term recurrence relation for the expansion coefficients. We show diagrams of the distribution of their… read more here.
Keywords: solvable quantum; mechanical problems; quantum mechanical; conditionally solvable ... See more keywords
Exactly Solvable Quantum Impurity Model with Inverse-Square Interactions.
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DOI: 10.1103/physrevlett.123.066406
Abstract: We construct an exactly solvable quantum impurity model which consists of spin-1/2 conduction fermions and a spin-1/2 magnetic moment. The ground state is a Gutzwiller projected Fermi sea with nonorthonormal modes and its wave function… read more here.
Keywords: quantum impurity; solvable quantum; inverse square; exactly solvable ... See more keywords