The momentum of scalar field and the wave function of the universe

1991 ◽  
Vol 15 (3) ◽  
pp. 241-250
Author(s):  
Zu-hui Fan ◽  
Yun-qiang Yu
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
The Universe

scholarly journals Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
V. Vázquez-Báez ◽  
C. Ramírez
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Quantum Cosmology ◽  
Free Parameter ◽  
Equations Of Motion ◽  
Frw Metric ◽  
The Universe

We study the quantum cosmology of a quadratic fR theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is a free parameter in the action from which two cases follow: inflation + exit and inflation alone. The numerical solution of the Wheeler-DeWitt equation depends strongly on the boundary conditions, which can be chosen so that the resulting wave function of the universe is normalizable and consistent with Hermitian operators.

NÖTHER’S SYMMETRIES IN QUANTUM COSMOLOGY

1994 ◽  
Vol 03 (03) ◽  
pp. 609-621 ◽  
Author(s):  
SALVATORE CAPOZZIELLO ◽  
RUGGIERO DE RITIS ◽  
PAOLO SCUDELLARO
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
Quantum Cosmology ◽  
Selection Rule ◽  
Theories Of Gravity ◽  
The Universe ◽  
Semiclassical Regime

We construct minisuperspace models for a class of theories of gravity nonminimally coupled with a scalar field. We show that when a Nöther symmetry exists, it is always possible to integrate the Wheeler-DeWitt equation and recover the semiclassical regime for the wave function of the universe. In this sense, we can interpret the Nöther symmetries as a selection rule in the philosophy of the so called Hartle criterion: when they exist, it is possible to select classical universes.

QUANTUM COSMOLOGY WITH A NONLINEAR BORN–INFELD TYPE SCALAR FIELD

1999 ◽  
Vol 08 (05) ◽  
pp. 625-634 ◽  
Author(s):  
H. Q. LU ◽  
T. HARKO ◽  
K. S. CHENG
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
Quantum Cosmology ◽  
Vacuum Energy ◽  
Quantum Model ◽  
Inflationary Universe ◽  
Cosmological Scale ◽  
Scale Factors ◽  
Nonlinear Scalar Field ◽  
The Universe

A quantum model of gravitation interacting with a Born–Infeld type nonlinear scalar field φ is considered. The corresponding Wheeler–DeWitt equation can be solved analytically for both large and small [Formula: see text]. In the extreme limits of small and large cosmological scale factors the wave function of the Universe can also be obtained by applying the methods developed by Vilenkin and Hartle and Hawking. An inflationary Universe is predicted with the largest possible vacuum energy and the largest interaction between the particles of the nonlinear scalar field.

scholarly journals QUANTIZATION OF THE BIANCHI TYPE IX MODEL IN N=1 SUPERGRAVITY IN THE PRESENCE OF SUPERMATTER

1996 ◽  
Vol 11 (10) ◽  
pp. 1763-1795 ◽  
Author(s):  
P.V. MONIZ
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
General Theory ◽  
Bianchi Type ◽  
Two Dimensional ◽  
Kahler Geometry ◽  
Complex Scalar ◽  
Analytical Potential ◽  
Complex Scalar Field ◽  
The Universe

The general theory of N=1 supergravity with supermatter is applied to a Bianchi type IX diagonal model. The supermatter is constituted by a complex scalar field and its [Formula: see text] fermionic partners. The Kähler geometry is chosen to be a two-dimensional flat one. The Lorentz-invariant ansatz for the wave function of the universe is taken to be as simple as possible in order to obtain new solutions. The set of differential equations derived from the quantum constraints are analyzed in two different cases: if the supermatter terms include an analytical potential or not. In the latter the wave function is found to have a simple form.

MAXIMAL ACCELERATION TUNNELING FROM “NOTHING”

1994 ◽  
Vol 03 (02) ◽  
pp. 485-492 ◽  
Author(s):  
E.R. CAIANIELLO ◽  
A. FEOLI ◽  
G. SCARPETTA ◽  
S. CAPOZZIELLO ◽  
R. DE RITIS
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
Degrees Of Freedom ◽  
Nonminimal Coupling ◽  
Maximal Acceleration ◽  
Walker Metric ◽  
The Universe

We find the Wheeler-DeWitt equation for a Friedman-Robertson-Walker metric modified according to a model with maximal acceleration and discuss the new conditions in which the wave function of the universe tunnels from the Euclidean regime to the Lorentzian one. We argue that the acceleration induces a nonminimal coupling of the scalar field with the gravitational degrees of freedom and provides a new dynamical possibility of tunneling through the quantum boundary when [Formula: see text].

scholarly journals Wave Packet in Quantum Cosmology and Definition of Semiclassical Time

1997 ◽  
Vol 12 (05) ◽  
pp. 859-871
Author(s):  
Y. Ohkuwa ◽  
T. Kitazoe
Keyword(s):  
Wave Function ◽  
Scalar Field ◽  
Wave Packet ◽  
Quantum Cosmology ◽  
Matter Field ◽  
Time Variable ◽  
Wave Functions ◽  
Quantum Matter ◽  
Definition Of ◽  
The Universe

We consider a quantum cosmology with a massless background scalar field ϕB and adopt a wave packet as the wave function. This wave packet is a superposition of the WKB form wave functions, each of which has a definite momentum of the scalar field ϕB. In this model it is shown that to trace the formalism of the WKB time is seriously difficult without introducing a complex value for a time. We define a semiclassical real time variable TP from the phase of the wave packet and calculate it explicitly. We find that, when a quantum matter field ϕQ is coupled to the system, an approximate Schrödinger equation for ϕQ holds with respect to TP in a region where the size a of the universe is large and |ϕB| is small.

Gravity as the curvature of the wave function of the universe.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
The Universe

Gravity as the curvature of the wave function of the universe.

Gravity as the curvature of the wave function of the universe.

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Wave Function ◽  
Wave Functions ◽  
Main Task ◽  
Reference Systems ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
Principle Of Equivalence ◽  
Relative Wave Function ◽  
New Equation ◽  
The Universe

Modern general theory of relativity considers gravity as the curvature of space-time. The theory is based on the principle of equivalence. All bodies fall with the same acceleration in the gravitational field, which is equivalent to locally accelerated reference systems. In this article, we will affirm the concept of gravity as the curvature of the relative wave function of the Universe. That is, a change in the phase of the universal wave function of the Universe near a massive body leads to a change in all other wave functions of bodies. The main task is to find the form of the relative wave function of the Universe, as well as a new equation of gravity for connecting the curvature of the wave function and the density of matter.

Interpretation of the wave function of the Universe

1989 ◽  
Vol 39 (4) ◽  
pp. 1116-1122 ◽  
Author(s):  
Alexander Vilenkin
Keyword(s):  
Wave Function ◽  
The Universe

Wave function of the Universe

1993 ◽  
pp. 310-325 ◽  
Author(s):  
J. B. Hartle ◽  
S. W. Hawking
Keyword(s):  
Wave Function ◽  
The Universe
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