scholarly journals Compact boundary-condition-determined wave function for positronium hydride (PsH)

2003 ◽  
Vol 119 (14) ◽  
pp. 7037-7042 ◽  
Author(s):  
Dario Bressanini ◽  
Gabriele Morosi
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Positronium Hydride ◽  
Compact Boundary

The quantum mechanics of a bounded linear harmonic oscillator

1945 ◽  
Vol 41 (2) ◽  
pp. 175-179 ◽  
Author(s):  
F. C. Auluck
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Bounded Linear ◽  
Present Discussion ◽  
Linear Harmonic Oscillator

1. The present paper deals with an enclosed (linear) harmonic oscillator. The usual boundary condition that the wave function vanishes at infinity is here replaced by the condition that the wave function vanishes at the walls of the enclosure. The problem has been treated before (1, 2, 4). However, the present discussion goes much further than that given in the papers cited*.

An improved wave function for positronium hydride: Preliminary report

1974 ◽  
Vol 3 (2) ◽  
pp. 159-160 ◽  
Author(s):  
Peter Nevin ◽  
D. M. Schrader ◽  
C. F. Lebeda
Keyword(s):  
Wave Function ◽  
Preliminary Report ◽  
Positronium Hydride

NONMINIMAL COUPLING AND QUANTUM COSMOLOGY

1995 ◽  
Vol 04 (05) ◽  
pp. 673-684 ◽  
Author(s):  
M. NOVELLO ◽  
V.M.C. PEREIRA ◽  
N. PINTO-NETO
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Quantum Cosmology ◽  
Correspondence Principle ◽  
Wave Functions ◽  
Singular Solutions ◽  
Classical Solutions ◽  
Nonminimal Coupling ◽  
Expansion Phase ◽  
Flat Spacetime

We consider a minisuperspace cosmological model generated by coupling nonminimally a vector field with the gravitational field. The classical solutions are divided into three sets: singular solutions, eternal universes with an expansion phase and flat spacetime. We apply quantum cosmological arguments to investigate which of them is the most probable classical solution. The semiclassical cosmological wave functions satisfy the correspondence principle, and examples are shown in which the three sets of classical solutions can be predicted from different classes of WKB wave functions. As a particular example we have considered the no-boundary wave function, which predicts flat spacetime. No solutions can be obtained from the tunneling boundary condition.

scholarly journals Boundary Conditions that Remove Certain Ultraviolet Divergences

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 577
Author(s):  
Roderich Tumulka
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Boundary Conditions ◽  
Particle Creation ◽  
Quantum Field ◽  
Interior Boundary ◽  
Direct Definition ◽  
Definition Of ◽  
Particle Creation And Annihilation ◽  
Interior Boundary Conditions

In quantum field theory, Hamiltonians contain particle creation and annihilation terms that are usually ultraviolet (UV) divergent. It is well known that these divergences can sometimes be removed by adding counter-terms and by taking limits in which a UV cutoff tends toward infinity. Here, I review a novel way of removing UV divergences: by imposing a type of boundary condition on the wave function. These conditions, called interior-boundary conditions (IBCs), relate the values of the wave function at two configurations linked by the creation or annihilation of a particle. They allow for a direct definition of the Hamiltonian without renormalization or limiting procedures. In the last section, I review another boundary condition that serves to determine the probability distribution of detection times and places on a time-like 3-surface.

MACROSCOPIC BOUNDARIES AND THE WAVE FUNCTION OF THE UNIVERSE IN THE c=-2 MATRIX MODEL

1991 ◽  
Vol 06 (31) ◽  
pp. 2901-2908 ◽  
Author(s):  
JONATHAN D. EDWARDS ◽  
IGOR R. KLEBANOV
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Matrix Model ◽  
Ground State ◽  
Bessel Functions ◽  
Scalar Fields ◽  
Two Dimensional ◽  
Dimensional Gravity ◽  
Genus Expansion ◽  
The Universe

Using a matrix model, we calculate sums over surfaces with macroscopic boundaries of fixed lengths in two-dimensional gravity coupled to a pair of anti-commuting scalar fields with c=-2. For n boundaries, the answer depends only on the sum of their lengths and is given explicitly in terms of Bessel functions to all orders of the genus expansion. For n=1, this defines the Hartle-Hawking ground state wave function of the universe, which is shown to satisfy the minisuperspace Wheeler–De Witt equation with a boundary condition imposed at small geometries.

ON THE COSMOLOGICAL CONSTANT IN QUANTUM COSMOLOGY OF THE BRANS–DICKE THEORY

1998 ◽  
Vol 13 (17) ◽  
pp. 1333-1337 ◽  
Author(s):  
ZONG-HONG ZHU ◽  
YUAN-ZHONG ZHANG ◽  
XIANG-PING WU
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Cosmological Constant ◽  
Quantum Cosmology ◽  
Gravitational Theory ◽  
Wkb Approximation ◽  
Expanding Universe ◽  
The Universe

We study the issue of the cosmological constant in quantum cosmology combined with the Brans–Dicke gravitational theory. Using the minisuperspace approximation, we build up the Wheeler–De Witt equation and then obtain the wave function of the universe by further assuming the WKB approximation under the boundary condition proposed by Vilenkin. It is shown that the amplitude of the resulting wave function, which represents an expanding universe, reaches its peaks if the cosmological constant vanishes.

scholarly journals EXTENDED INFLATION— A QUANTUM-COSMOLOGICAL SURVEY

1992 ◽  
Vol 07 (17) ◽  
pp. 4039-4052 ◽  
Author(s):  
ABHIK KUMAR SANYAL ◽  
BIJAN MODAK
Keyword(s):  
Boundary Condition ◽  
Wave Function ◽  
Higgs Sector ◽  
Conserved Charges ◽  
The Universe ◽  
Arbitrary Factor

This paper considers the Einstein-Brans-Dicke action coupled with a Higgs sector. It is shown that a graceful exit from inflation is not possible, rejecting the claim of La and Steinhardt. Further, wormhole solutions with and without conserved charges are explored. Finally, the wave function of the universe in this model is constructed with the boundary condition, as proposed by Vilenkin. The interesting feature of the wave function is that it has been constructed for an arbitrary factor-ordering index.

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