Quantum corrections to a semiclassical approximation for describing vibration-rotation spectra of nonrigid molecules: the example of an asymmetric top

1997 ◽  
Author(s):  
A. S. Skalozub ◽  
Artyom Y. Tsaune
Keyword(s):  
Semiclassical Approximation ◽  
Quantum Corrections ◽  
Nonrigid Molecules ◽  
Asymmetric Top ◽  
Vibration Rotation

Vibration–rotation spectra of deuterated nitrous acid, DONO

1984 ◽  
Vol 62 (12) ◽  
pp. 1300-1305 ◽  
Author(s):  
L. O. Halonen ◽  
C. M. Deeley ◽  
I. M. Mills ◽  
V.-M. Horneman
Keyword(s):  
Fourier Transform ◽  
Standard Deviation ◽  
High Resolution ◽  
Infrared Spectra ◽  
Spectral Resolution ◽  
Nitrous Acid ◽  
Fourier Transform Infrared ◽  
Asymmetric Top ◽  
Vibration Rotation ◽  
Better Than

High-resolution Fourier transform infrared spectra have been recorded and analyzed for the ν3, ν4, ν5, and ν6 fundamental bands of trans-DONO, and for the ν4 fundamental of cis-DONO. The spectral resolution was better than 0.01 cm−1, and the bands have been fitted using an asymmetric top Hamiltonian with a standard deviation of around 0.0006 cm−1.

scholarly journals Quantum Tunnelling for Hawking Radiation from Both Static and Dynamic Black Holes

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Subenoy Chakraborty ◽  
Subhajit Saha
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Semiclassical Approximation ◽  
Black Hole Entropy ◽  
Jacobi Method ◽  
Quantum Corrections ◽  
Quantum Tunnelling ◽  
Static Black Hole ◽  
Symmetric Black Hole ◽  
Correction Terms

The paper deals with Hawking radiation from both a general static black hole and a nonstatic spherically symmetric black hole. In case of static black hole, tunnelling of nonzero mass particles is considered and due to complicated calculations, quantum corrections are calculated only up to the first order. The results are compared with those for massless particles near the horizon. On the other hand, for dynamical black hole, quantum corrections are incorporated using the Hamilton-Jacobi method beyond semiclassical approximation. It is found that different order correction terms satisfy identical differential equation and are solved by a typical technique. Finally, using the law of black hole mechanics, a general modified form of the black hole entropy is obtained considering modified Hawking temperature.

scholarly journals QUANTUM CORRECTIONS TO THE SEMICLASSICAL QUANTIZATION OF THE SU(3) SHELL MODEL

1995 ◽  
Vol 09 (24) ◽  
pp. 3219-3227 ◽  
Author(s):  
V. R. MANFREDI ◽  
L. SALASNICH
Keyword(s):  
Perturbation Theory ◽  
Shell Model ◽  
Semiclassical Approximation ◽  
Energy Levels ◽  
Quantum Corrections ◽  
Numerical Accuracy ◽  
Quantization Rule ◽  
Semiclassical Quantization ◽  
Canonical Perturbation

We apply the canonical perturbation theory to the semi-quantal Hamiltonian of the SU(3) shell model. Then, we use the Einstein–Brillowin–Keller quantization rule to obtain an analytical semi-quantal formula for the energy levels, which is the usual semiclassical one plus quantum corrections. Finally, a test on the numerical accuracy of the semiclassical approximation and of its quantum corrections is performed.

Asymmetric‐Top Vibration—Rotation Hamiltonians

1963 ◽  
Vol 38 (1) ◽  
pp. 8-17 ◽  
Author(s):  
K. T. Chung ◽  
Paul M. Parker
Keyword(s):  
Asymmetric Top ◽  
Vibration Rotation

scholarly journals QUANTUM GRAVITY WITH BOUNDARIES NEAR TWO DIMENSIONS

1995 ◽  
Vol 10 (19) ◽  
pp. 1351-1363 ◽  
Author(s):  
TOSHIAKI AIDA ◽  
YOSHIHISA KITAZAWA
Keyword(s):  
Central Charge ◽  
Semiclassical Approximation ◽  
Two Dimensions ◽  
Quantum Corrections ◽  
Gravitational Coupling ◽  
Coupling Constant ◽  
Loop Order ◽  
Gravitational Coupling Constant ◽  
The One ◽  
Hilbert Action

We evaluate the quantum corrections of the Einstein-Hilbert action with boundaries in (2+ε)-dimensional expansion approach. We find the Einstein-Hilbert action with boundaries to be renormalizable to the one-loop order. We compute the geometric entropy beyond the semiclassical approximation. It is found that the exact geometric entropy is related to the string susceptibility by the analytic continuation in the central charge. Our results also show that we can renormalize the divergent quantum corrections for the Bekenstein-Hawking entropy of black holes by the gravitational coupling constant renormalization beyond two dimensions.

scholarly journals Non-Critical Open Strings Beyond the Semiclassical Approximation

1997 ◽  
Vol 12 (17) ◽  
pp. 1241-1266 ◽  
Author(s):  
J. Ambjørn ◽  
K. Hayasaka ◽  
R. Nakayama
Keyword(s):  
Semiclassical Approximation ◽  
Wave Functions ◽  
Liouville Theory ◽  
Quantum Corrections ◽  
Open Strings ◽  
New Type ◽  
The One ◽  
Semiclassical Expansion ◽  
Perimeter Constraint ◽  
Reparametrization Invariance

We studied the lowest order quantum corrections to the macroscopic wave functions Γ(A,ℓ) of non-critical string theory using the semiclassical expansion of Liouville theory. By carefully taking the perimeter constraint into account we obtained a new type of boundary condition for the Liouville field which is compatible with the reparametrization invariance of the boundary and which is not only a mixture of Dirichlet and Neumann types but also involves an integral of an exponential of the Liouville field along the boundary. This condition contains an unknown function of A/ℓ2. We determined this function by computing part of the one-loop corrections to Γ(A,ℓ).

scholarly journals Erratum: Asymmetric‐Top Vibration—Rotation Hamiltonians

1963 ◽  
Vol 39 (1) ◽  
pp. 240-240 ◽  
Author(s):  
K. T. Chung ◽  
Paul M. Parker
Keyword(s):  
Asymmetric Top ◽  
Vibration Rotation
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