Two-component formulation of the Wheeler–DeWitt equation

DOI10.1063/1.532522zbMath0927.53033arXivgr-qc/9610012OpenAlexW2088562309MaRDI QIDQ4701660

Ali Mostafazadeh

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9610012

zbMATH Keywords

Klein-Gordon equationSchrödinger equationWheeler-DeWitt equationFRW superspacemode expansionsuperposition of definite-parity solutions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (10)

Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian ⋮ Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries ⋮ Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians ⋮ COMMENT ON THE CHOICE OF TIME IN A TWO-COMPONENT FORMULATION OF THE WHEELER–DEWITT EQUATION ⋮ Quantum mechanics of Klein--Gordon-type fields and quantum cosmology. ⋮ Equivalent Hamiltonian approach to quantum cosmology of integrable models ⋮ Third quantization and quantum universes ⋮ Chaplygin gas quantum universe in the presence of the cosmological constant ⋮ PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS ⋮ Pseudo-Hermiticity, $$\mathcal{P}\mathcal{T}$$ symmetry, and the metric operator

Cites Work

• Exact semiclassical evolutions in relativistic and non-relativistic scalar quantum mechanics and quantum cosmology
• Quantum cosmology in the energy representation
• Adiabatic product expansion
• Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
• Some useful properties of a theory of variable mass particles
• Wave function of the Universe
• Quantum Theory of Gravity. I. The Canonical Theory

This page was built for publication: Two-component formulation of the Wheeler–DeWitt equation