Supersymmetric Quantum Mechanics

University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation; Lunds universitet/Institutionen för astronomi och teoretisk fysik - Genomgår omorganisation

Abstract: This bachelor thesis contains an introduction into supersymmetric quantum mechanics(SUSYQM). SUSYQM provides a different way of solving quantum mechanical problems. The thesis explains the basic concepts of SUSYQM, such as the factorization of a Hamiltonian, the definition of its superpotential and the shape invariant potentials. The SUSYQM framework was applied to some problems such as the infinite square well potential, the harmonic oscillator, the radial solution to the Hydrogen atom and isospectral deformation of potentials.

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