abstract

• We propose an alternative way to introduce supersymmetric quantum mechanics to physics students using a point canonical coordinate transformation. We provide two point canonical transformations that allow us to obtain new supersymmetric partner Hamiltonians with iso-spectral and non-iso-spectral energy eigenvalues starting from a known solvable Hamiltonian. We illustrate this new approach by applying it to the harmonic oscillator potential. © 2020 European Physical Society.

authors

• González Contreras Gabriel

publication date

• 2020-01-01

funding provided via

• A1-S-43579  Grant
• Consejo Nacional de Ciencia y Tecnología, CONACYT: 1757  Grant

published in

• European Journal of Physics  Journal

keywords

• point canonical transformations; Schr dinger equation; supersymmetric quantum mechanics Eigenvalues and eigenfunctions; Hamiltonians; Quantum theory; Canonical coordinates; Harmonic oscillator potential; New approaches; Spectral energy; Supersymmetric quantum mechanics; Two-point; Via point; Supersymmetry

Digital Object Identifier (DOI)

• 10.1088/1361-6404/ab7ebe

start page

end page

volume

• 41

issue

• 4