A note on the quantum Hamiltonian for a free particle

Physics

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https://doi.org/10.1016/0375-9601(91)90115-O
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A note on the quantum Hamiltonian for a free particle. / Benn, Ian; Tucker, Robin.
In: Physics Letters A, Vol. 156, No. 1-2, 03.06.1991, p. 1-4.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Benn, I & Tucker, R 1991, 'A note on the quantum Hamiltonian for a free particle', Physics Letters A, vol. 156, no. 1-2, pp. 1-4. https://doi.org/10.1016/0375-9601(91)90115-O

APA

Benn, I., & Tucker, R. (1991). A note on the quantum Hamiltonian for a free particle. Physics Letters A, 156(1-2), 1-4. https://doi.org/10.1016/0375-9601(91)90115-O

Vancouver

Benn I, Tucker R. A note on the quantum Hamiltonian for a free particle. Physics Letters A. 1991 Jun 3;156(1-2):1-4. doi: 10.1016/0375-9601(91)90115-O

Author

Benn, Ian ; Tucker, Robin. / A note on the quantum Hamiltonian for a free particle. In: Physics Letters A. 1991 ; Vol. 156, No. 1-2. pp. 1-4.

Bibtex

@article{2d2d3193e7c14b0ababb94ee7e23ab78,

title = "A note on the quantum Hamiltonian for a free particle",

abstract = "We consider the non-relativistic quantum mechanics of a free particle on a Riemannian manifold and offer an argument for an invariant quantum Hamiltonian proportional to the Laplacian amended by one quarter of the scalar curvature of the manifold. An explicit ordering of the arbitrary canonical variables in the classical Hamiltonian is found that implies the existence of a quantum potential that can be made to vanish at any point by adopting geodesic coordinates for that region of the manifold.",

author = "Ian Benn and Robin Tucker",

year = "1991",

month = jun,

day = "3",

doi = "10.1016/0375-9601(91)90115-O",

language = "English",

volume = "156",

pages = "1--4",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "1-2",

}

RIS

TY - JOUR

T1 - A note on the quantum Hamiltonian for a free particle

AU - Benn, Ian

AU - Tucker, Robin

PY - 1991/6/3

Y1 - 1991/6/3

N2 - We consider the non-relativistic quantum mechanics of a free particle on a Riemannian manifold and offer an argument for an invariant quantum Hamiltonian proportional to the Laplacian amended by one quarter of the scalar curvature of the manifold. An explicit ordering of the arbitrary canonical variables in the classical Hamiltonian is found that implies the existence of a quantum potential that can be made to vanish at any point by adopting geodesic coordinates for that region of the manifold.

AB - We consider the non-relativistic quantum mechanics of a free particle on a Riemannian manifold and offer an argument for an invariant quantum Hamiltonian proportional to the Laplacian amended by one quarter of the scalar curvature of the manifold. An explicit ordering of the arbitrary canonical variables in the classical Hamiltonian is found that implies the existence of a quantum potential that can be made to vanish at any point by adopting geodesic coordinates for that region of the manifold.

U2 - 10.1016/0375-9601(91)90115-O

DO - 10.1016/0375-9601(91)90115-O

M3 - Journal article

VL - 156

SP - 1

EP - 4

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 1-2

ER -

Research

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