Exactly solvable supersymmetric quantum mechanics
نویسندگان
چکیده
منابع مشابه
Exactly and quasi-exactly solvable 'discrete' quantum mechanics.
A brief introduction to discrete quantum mechanics is given together with the main results on various exactly solvable systems. Namely, the intertwining relations, shape invariance, Heisenberg operator solutions, annihilation/creation operators and dynamical symmetry algebras, including the q-oscillator algebra and the Askey-Wilson algebra. A simple recipe to construct exactly and quasi-exactly...
متن کاملSupersymmetric Quantum Mechanics and Solvable Models
We review solvable models within the framework of supersymmetric quantum mechanics (SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum mechanical problems. We review shape invariance and its connection to a consequent potential algebra. The additive shape invariance condition is specified by a difference-differential equation; we show that this equation is equival...
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For nonrelativistic Hamiltonians which are shape invariant, analytic expressions for the eigenvalues and eigenvectors can be derived using the well known method of supersymmetric quantum mechanics. Most of these Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent group theoretic method. In this paper, we demonstrate the equivalence of the two methods ...
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Abstract A new type of supersymmetric transformations of the coupled-channel radial Schrödinger equation is introduced, which do not conserve the vanishing behavior of solutions at the origin. Contrary to usual transformations, these “non-conservative” transformations allow, in the presence of thresholds, the construction of potentials with coupled scattering matrices from uncoupled potentials....
متن کاملShape-invariance and Exactly Solvable Problems in Quantum Mechanics
Algebraic approach to the integrability condition called shape invariance is briefly reviewed. Various applications of shape-invariance available in the literature are listed. A class of shape-invariant bound-state problems which represent two-level systems are examined. These generalize the Jaynes-Cummings Hamiltonian. Coherent states associated with shape-invariant systems are discussed. For ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1991
ISSN: 0022-247X
DOI: 10.1016/0022-247x(91)90267-4