DOES THE WEYL ORDERING PRESCRIPTION LEAD TO THE CORRECT ENERGY LEVELS FOR THE QUANTUM PARTICLE ON THE D-DIMENSIONAL SPHERE?

DOI10.1142/S0217751X99001706zbMath0946.81041arXivhep-th/9811210OpenAlexW1577512341MaRDI QIDQ4949037

Jorge Ananias Neto, Wilson Oliveira

Publication date: 27 April 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9811210

zbMATH Keywords

Hamiltonian operatorenergy eigenvaluesconstrained systemsHermitian operatorsquantum particlenon-Abelian BFFT formalismWeyl ordering prescription

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

IMPROVED DIRAC QUANTIZATION OF A FREE PARTICLE ⋮ Geometric momentum for a particle constrained on a curved hypersurface ⋮ An inhomogeneous toy model of the quantum gravity with the explicitly evolvable observables

Cites Work

• The non-abelian BFFT formalism for the collective coordinates quantization of the \(\text{SU}(2)\) Skyrme model.
• Nonrelativistic quantum particle in a curved space as a constrained system
• Quantisation of \(\text{O}(N)\) invariant nonlinear sigma model in the Batalin-Tyutin formalism
• Proper Dirac quantization of a free particle on a \(D\)-dimensional sphere.
• The Feynman integral for singular Lagrangians
• A reformulation of the Born-Infeld electrodynamics
• A non-linear field theory
• EXISTENCE THEOREM FOR THE EFFECTIVE GAUGE ALGEBRA IN THE GENERALIZED CANONICAL FORMALISM WITH ABELIAN CONVERSION OF SECOND-CLASS CONSTRAINTS
• The Batalin–Tyutin Formalism on the Collective Coordinates Quantization of the SU(2) Skyrme Model

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