TY - JOUR

T1 - Reduced role of the wavefunctions' curvature of quantum potentials in non-standard quantum systems

AU - Shushi, Tomer

N1 - Publisher Copyright:
© 2023 Elsevier B.V.

PY - 2023/7/5

Y1 - 2023/7/5

N2 - In standard quantum systems where the mass of the particles is a constant, the quantum potential is exclusively dictated by the curvature of the wavefunction. Quantum systems with spatially dependent (effective) mass distributions appear in different systems, such as an electron in a semiconductor, quantum dots, and quantum liquids. In this letter, we show a class of quantum systems where the effective mass distribution governs the quantum potential rather than the wavefunctions' curvature for the entire region occupied by the wavefunction or at least for a sub-region in space. This gives a new insight into the role of the wavefunction's curvature in non-standard quantum systems, followed by the quantum potential in which quantum effects emerged in the Madelung reformulation of the Schrödinger equation.

AB - In standard quantum systems where the mass of the particles is a constant, the quantum potential is exclusively dictated by the curvature of the wavefunction. Quantum systems with spatially dependent (effective) mass distributions appear in different systems, such as an electron in a semiconductor, quantum dots, and quantum liquids. In this letter, we show a class of quantum systems where the effective mass distribution governs the quantum potential rather than the wavefunctions' curvature for the entire region occupied by the wavefunction or at least for a sub-region in space. This gives a new insight into the role of the wavefunction's curvature in non-standard quantum systems, followed by the quantum potential in which quantum effects emerged in the Madelung reformulation of the Schrödinger equation.

KW - Madelung equations

KW - Quantum foundations

KW - Quantum potential

KW - Semiconductor heterostructures

UR - http://www.scopus.com/inward/record.url?scp=85153276723&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2023.128850

DO - 10.1016/j.physleta.2023.128850

M3 - Article

AN - SCOPUS:85153276723

SN - 0375-9601

VL - 475

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 128850

ER -