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Transmission of low-energy scalar waves through a traversable wormhole
Bahareh Azad, Farhang Loran, Ali Mostafazadeh
We study the scattering of low-energy massless and massive minimally coupled scalar fields by an asymptotically flat traversable wormhole. We provide a comprehensive treatment of t…
Wave Function of the Universe and Its Meaning
Ali Mostafazadeh
For a FRW-spacetime coupled to an arbitrary real scalar field, we endow the solution space of the associated Wheeler-DeWitt equation with a Hilbert-space structure, construct the o…
Quantum Mechanics of Klein-Gordon-Type Fields and Quantum Cosmology
Ali Mostafazadeh
We formulate the quantum mechanics of the solutions of a Klein-Gordon-type field equation: (\partial_t^2+D)ψ(t)=0, where D is a positive-definite operator acting in a Hilbert space…
Probability Interpretation for Klein-Gordon Fields and the Hilbert Space Problem in Quantum Cosmology
Ali Mostafazadeh
We give an explicit construction of a positive-definite invariant inner-product for the Klein-Gordon fields, thus solving the old problem of the probability interpretation of Klein…
Cosmological Adiabatic Geometric Phase of a Scalar Field in a Bianchi Spacetime
A. Mostafazadeh
A two-component formulation of the Klein-Gordon equation is used to investigate the cyclic and noncyclic adiabatic geometric phases due to spatially homogeneous (Bianchi) cosmologi…
Exact Semiclassical Evolutions in Relativistic and Nonrelativistic Scalar Quantum Mechanics and Quantum Cosmology
Ali Mostafazadeh
The necessary and sufficient conditions for the exactness of the semiclassical approximation for the solution of the Schrödinger and Klein-Gordon equations are obtained. It is show…