New type shift operators for circular well potential in two dimensions

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Abstract

New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and φ. We find that the operators P±=Px±Py play the role of the shift operators. The radial linear momentum P r=-iℏ ∂/∂r, the angular momentum Lz=-iℏ∂/∂φ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry. © 2010 Elsevier B.V.
Original languageAmerican English
Pages (from-to)4112-4114
Number of pages3700
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
DOIs
StatePublished - 6 Sep 2010

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title = "New type shift operators for circular well potential in two dimensions",
abstract = "New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and φ. We find that the operators P±=Px±Py play the role of the shift operators. The radial linear momentum P r=-iℏ ∂/∂r, the angular momentum Lz=-iℏ∂/∂φ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry. {\circledC} 2010 Elsevier B.V.",
author = "Sun, {Guo Hua} and Dong, {Shi Hai}",
year = "2010",
month = "9",
day = "6",
doi = "10.1016/j.physleta.2010.08.027",
language = "American English",
pages = "4112--4114",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
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TY - JOUR

T1 - New type shift operators for circular well potential in two dimensions

AU - Sun, Guo Hua

AU - Dong, Shi Hai

PY - 2010/9/6

Y1 - 2010/9/6

N2 - New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and φ. We find that the operators P±=Px±Py play the role of the shift operators. The radial linear momentum P r=-iℏ ∂/∂r, the angular momentum Lz=-iℏ∂/∂φ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry. © 2010 Elsevier B.V.

AB - New type shift operators for circular well potential in two dimensions are identified. These so-called shift operators connect those quantum systems with the different potentials but with same energy spectrum. It should be noted that these operators depend on both the radial circular and angular variables r and φ. We find that the operators P±=Px±Py play the role of the shift operators. The radial linear momentum P r=-iℏ ∂/∂r, the angular momentum Lz=-iℏ∂/∂φ and the Hamiltonian form a complete set of commuting operators with the SO(2) symmetry. © 2010 Elsevier B.V.

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U2 - 10.1016/j.physleta.2010.08.027

DO - 10.1016/j.physleta.2010.08.027

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SP - 4112

EP - 4114

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

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

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