Alternative exact-path-integral treatment of the hydrogen atom

1984 ◽  
Vol 101 (5-6) ◽  
pp. 253-257 ◽  
Author(s):  
Akira Inomata
Keyword(s):  
Hydrogen Atom ◽  
Path Integral ◽  
Integral Treatment

Exact-Path-Integral Treatment of the Hydrogen Atom

1982 ◽  
Vol 48 (4) ◽  
pp. 231-234 ◽  
Author(s):  
Roger Ho ◽  
Akira Inomata
Keyword(s):  
Hydrogen Atom ◽  
Path Integral ◽  
Integral Treatment

Dirac oscillator in a uniform electric field: Path integral treatment

2019 ◽  
Vol 34 (30) ◽  
pp. 1950246
Author(s):  
Hassene Bada ◽  
Mekki Aouachria
Keyword(s):  
Energy Spectrum ◽  
Electric Field ◽  
Path Integral ◽  
Uniform Electric Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Fermionic Model ◽  
Internal Motions ◽  
Integral Treatment ◽  
The One

In this paper, the propagator of a two-dimensional Dirac oscillator in the presence of a uniform electric field is derived by using the path integral technique. The fact that the globally named approach is used in this work redirects, beforehand, our search for the propagator of the Dirac equation to that of the propagator of its quadratic form. The internal motions relative to the spin are represented by two fermionic oscillators, which are described by Grassmannian variables, according to Schwinger’s fermionic model. Once the integration over the anticommuting variables (Grassmannian variables) is accomplished, the problem becomes the one of finding a non-relativistic propagator with only bosonic variables. The energy spectrum of the electron and the corresponding eigenspinors are also obtained in this work.

Path‐integral treatment of multi‐mode vibronic coupling

1994 ◽  
Vol 100 (2) ◽  
pp. 926-937 ◽  
Author(s):  
Stefan Krempl ◽  
Manfred Winterstetter ◽  
Heiko Plöhn ◽  
Wolfgang Domcke
Keyword(s):  
Path Integral ◽  
Vibronic Coupling ◽  
Integral Treatment ◽  
Multi Mode

ENERGY-DEPENDENT POTENTIAL AND NORMALIZATION OF WAVE FUNCTION

2013 ◽  
Vol 28 (18) ◽  
pp. 1350079 ◽  
Author(s):  
A. BENCHIKHA ◽  
L. CHETOUANI
Keyword(s):  
Wave Function ◽  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Spectral Decomposition ◽  
Wave Functions ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Dependent Potential ◽  
Energy Dependent

The problem of normalization related to energy-dependent potentials is examined in the context of the path integral approach, and a justification is given. As examples, the harmonic oscillator and the hydrogen atom (radial) where, respectively the frequency and the Coulomb's constant depend on energy, are considered and their propagators determined. From their spectral decomposition, we have found that the wave functions extracted are correctly normalized.

Sign in / Sign up

Export Citation Format

Share Document