Quantum Theory of Interaction of a Resonant Field with a Nonlinear Medium Modelled as an Anharmonic Oscillator

1990 ◽  
pp. 13-14
Author(s):  
G. S. Agarwal ◽  
R. R. Puri
Keyword(s):  
Quantum Theory ◽  
Nonlinear Medium ◽  
Anharmonic Oscillator ◽  
Resonant Field

On the Quantum Theory of the Anharmonic Oscillator in Functional Space

1969 ◽  
Vol 24 (2) ◽  
pp. 188-197 ◽  
Author(s):  
H. Stumpf
Keyword(s):  
Field Theory ◽  
Quantum Theory ◽  
Functional Equations ◽  
Scalar Product ◽  
Anharmonic Oscillator ◽  
Functional Space ◽  
Solution Procedure ◽  
Field Theories ◽  
Quantum Field ◽  
Product Definition

Dynamics of quantum field theory can be formulated by functional equations. For strong inter­action nonperturbative solutions of these functional equations are required. For the investigation of solution procedures the model of an anharmonic oscillator is used, because of its structural equi­valence with dressed one- and two-particel states of field theory. To perform a variational solution procedure a scalar product for the state functionals is introduced and its existence is proven. The scalar product definition admits a mapping of the physical Hilbert space on the functional space. Therefore a “functional” quantum theory seems to be possible. The whole procedure can be transferred to relativistic invariant field theories, provided these theories are regularized to give finite results at all.

Exact quantum theory of a parametrically driven dissipative anharmonic oscillator

1996 ◽  
Vol 127 (4-6) ◽  
pp. 230-236 ◽  
Author(s):  
G.Yu. Kryuchkyan ◽  
K.V. Kheruntsyan
Keyword(s):  
Quantum Theory ◽  
Anharmonic Oscillator ◽  
Exact Quantum

Matrix mechanics as a practical tool in quantum theory: The anharmonic oscillator

1975 ◽  
Vol 12 (8) ◽  
pp. 2311-2324 ◽  
Author(s):  
Ching-Teh Li ◽  
Abraham Klein ◽  
Franz Krejs
Keyword(s):  
Quantum Theory ◽  
Anharmonic Oscillator ◽  
Matrix Mechanics ◽  
Practical Tool

Consistent Quantum Theory

2001 ◽  
Author(s):  
Robert B. Griffiths
Keyword(s):  
Quantum Theory

Vibrational optical activity of anharmonic oscillator

1996 ◽  
Vol 89 (5) ◽  
pp. 1503-1510 ◽  
Author(s):  
P.L. POLAVARAPU
Keyword(s):  
Optical Activity ◽  
Anharmonic Oscillator

Quantum theory of light in nonlinear media with dispersion and absorption

1998 ◽  
Vol 45 (2) ◽  
pp. 377-402 ◽  
Author(s):  
EDUARD SCHMIDT , JOHN JEFFERS , STEPHEN M.
Keyword(s):  
Quantum Theory ◽  
Nonlinear Media

Fock states generation in a kicked cavity with a nonlinear medium

1997 ◽  
Vol 44 (11-12) ◽  
pp. 2105-2123 ◽  
Author(s):  
W. Leoński ◽  
S. Dyrting ◽  
R. Tanaś
Keyword(s):  
Nonlinear Medium ◽  
Fock States
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