Abstract
We have derived a new kinetic energy operator for studying variable mass systems. Our operator is dependent on the space deformation profile \( \mu(x)\) subject to the order parameter \( \varsigma\) . At zeroth order, we recover the standard one-dimensional kinetic energy operator for a constant mass system while, for \( \varsigma\geq 1\) , the operator is interpreted as describing a system endowed with a position-dependent effective mass.
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