Interpolation of SUSY quantum mechanics
Satoru Odake, Yamac Pehlivan, Ryu Sasaki
TL;DR
This paper explores how interpolating between two SUSY quantum Hamiltonians preserves shape-invariance, revealing consistent structural properties across various shape-invariant models.
Contribution
It demonstrates that the interpolation of adjacent SUSY Hamiltonians maintains shape-invariance in a broad class of quantum mechanical systems.
Findings
Interpolation Hamiltonians are also shape-invariant.
Shape-invariance is preserved across various models.
The form of Hamiltonians remains consistent under interpolation.
Abstract
Interpolation of two adjacent Hamiltonians in SUSY quantum mechanics , is discussed together with related operators. For a wide variety of shape-invariant degree one quantum mechanics and their `discrete' counterparts, the interpolation Hamiltonian is also shape-invariant, that is it takes the same form as the original Hamiltonian with shifted coupling constant(s).
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