A quantum mechanics glimpse to standard cosmology

Mathematics – Mathematical Physics

Scientific paper

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Cosmology, Quantum Mechanics, Supersymmetry, Schroedinger Equation, Harmonic Oscillators, Phenomenology Of Quantum Gravity, Supersymmetry, Relativistic Wave Equations, Solutions Of Wave Equations: Bound States

Scientific paper

In this work we present a connection between a standard cosmology model for inflation and quantum mechanics. We consider a time independent Schrödinger type equation derived from the equations of motion for a single scalar field in a flat space time with a FRW metric and a cosmological constant; the fact that the equation of motion is precisely a Schrödinger equation allows us to investigate on the algebraic relations between the two models and probe the consequences derived from this point of view.

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