Contributions of a harmonic oscillator to the thermodynamic functions for one degree of freedom

1959 ◽  
Vol 24 (3) ◽  
pp. 991-1005
Author(s):  
Z. Šeha ◽  
R. Holub
Keyword(s):  
Harmonic Oscillator ◽  
Thermodynamic Functions ◽  
Degree Of Freedom

DERIVATIVES OF MONOGERMANE: PART I. THE VIBRATION–ROTATION SPECTRA OF GERMYL FLUORIDE AND BROMIDE

1962 ◽  
Vol 40 (4) ◽  
pp. 579-589 ◽  
Author(s):  
J. E. Griffiths ◽  
T. N. Srivastava ◽  
M. Onyszchuk
Keyword(s):  
Harmonic Oscillator ◽  
Infrared Absorption ◽  
Thermodynamic Functions ◽  
Low Frequency ◽  
Rotational Constant ◽  
Rigid Rotator ◽  
Harmonic Oscillator Model ◽  
Infrared Absorption Spectra ◽  
Vibration Rotation ◽  
Derivatives Of

The vibration–rotation infrared absorption spectra of germyl fluoride and bromide have been observed. All of the fundamentals in GeH3F were located, and the rotational structure of the E-type bands were resolved and analyzed. The low-frequency band, ν3(a1), in GeH3Br was not observed but an estimate of its position was made from the frequencies of the combination band ν3 + ν6 and of ν6. The rotational constant A″ and the Coriolis constants ζ4, ζ5, and ζ6 were calculated for both molecules, and agreement with microwave A″ values was satisfactory. Thermodynamic functions based upon a rigid-rotator, harmonic-oscillator model have been evaluated for germyl fluoride and bromide.

scholarly journals Clock Time in Quantum Cosmology

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 66
Author(s):  
Marcello Rotondo ◽  
Yasusada Nambu
Keyword(s):  
Harmonic Oscillator ◽  
Quantum Cosmology ◽  
Schrodinger Equation ◽  
Semiclassical Limit ◽  
Cosmic Time ◽  
Wave Functions ◽  
Degree Of Freedom ◽  
Clock Time ◽  
Quantum Harmonic Oscillator ◽  
Flrw Universe

We consider the conditioning of the timeless solution to the Wheeler–DeWitt equation by a predefined matter clock state in the simple scenario of an FLRW universe. The resulting evolution of the geometrodynamical degree of freedom with respect to clock time is characterized by the “Berry connection” of the reduced geometrodynamical space, which relies on the coupling of the clock with the geometry. When the connection vanishes, the standard Schrödinger equation is obtained for the geometry with respect to clock time. When one considers environment-induced decoherence in the semiclassical limit, this condition is satisfied, and clock time coincides with cosmic time. Explicit results for the conditioned wave functions for minimal clocks made up of two quantum harmonic oscillator eigenstates are shown.

Schwingungsspektren und Thermodynamische Funktionen von PF3, PCl3, PBr3, P J3, PF2Cl, PF2Br, PF2J, PFCl2, PFBr2, PCl2Br, PCl2J, PClBr2, PClJ2, PBrJ2, PBr2J, PFClBr, AsCl2Br und AsClBr2

1968 ◽  
Vol 23 (5) ◽  
pp. 588-594 ◽  
Author(s):  
A. Müller ◽  
E. Niecke ◽  
B. Krebs ◽  
O. Glemser
Keyword(s):  
Harmonic Oscillator ◽  
Infrared Spectra ◽  
Thermodynamic Functions ◽  
Frequency Data ◽  
Rigid Rotator ◽  
Temperature Range

The complete Raman and infrared spectra of PF2Cl, PF2Br, PFCl2 and PFBr2 are reported. The frequency data for several mixed phosphorus and arsenic halides (see title) given in the literature are revised and completed. Assignments are made for all spectra. Thermodynamic functions in the temperature range 200—2000 °K are calculated for all molecules, assuming the harmonic oscillator — rigid rotator approximation.

The bubble cloud as an N-degree of freedom harmonic oscillator

2005 ◽  
Vol 17 (2) ◽  
pp. 189-198 ◽  
Author(s):  
V. Leroy ◽  
M. Devaud ◽  
T. Hocquet ◽  
J. -C. Bacri
Keyword(s):  
Harmonic Oscillator ◽  
Degree Of Freedom ◽  
Bubble Cloud

The adiabatic invariant of the n -degree-of-freedom harmonic oscillator

2008 ◽  
Vol 29 (4) ◽  
pp. 831-843 ◽  
Author(s):  
M Devaud ◽  
V Leroy ◽  
J-C Bacri ◽  
T Hocquet
Keyword(s):  
Harmonic Oscillator ◽  
Adiabatic Invariant ◽  
Degree Of Freedom

scholarly journals DECOHERENCE IN COMPOSITE QUANTUM OPEN SYSTEMS: THE EFFECTIVENESS OF UNSTABLE DEGREES OF FREEDOM

2006 ◽  
Vol 20 (20) ◽  
pp. 2951-2976 ◽  
Author(s):  
FERNANDO C. LOMBARDO ◽  
PAULA I. VILLAR
Keyword(s):  
Harmonic Oscillator ◽  
Quantum System ◽  
Degrees Of Freedom ◽  
Composite System ◽  
Open Systems ◽  
External Environment ◽  
Degree Of Freedom ◽  
Quantum Open Systems ◽  
Composite Quantum System

The effect induced by an environment on a composite quantum system is studied. The model considers the composite system as comprised by a subsystem A coupled to a subsystem B which is also coupled to an external environment. We studied all possible four combinations of subsystems A and B made up with a harmonic oscillator and an upside down oscillator. We analyzed the decoherence suffered by subsystem A due to an effective environment composed by subsystem B and the external reservoir. In all the cases we found that subsystem A decoheres even though it interacts with the environment only through its sole coupling to B. However, the effectiveness of the diffusion depends on the unstable nature of subsystem A and B. Therefore, the role of this degree of freedom in the effective environment is analyzed in detail.

THERMO FIELD DYNAMICS AND PARA STATISTICAL MECHANICS

1988 ◽  
Vol 03 (06) ◽  
pp. 549-559 ◽  
Author(s):  
S.N. BISWAS ◽  
ASHOK DAS
Keyword(s):  
Statistical Mechanics ◽  
Harmonic Oscillator ◽  
Thermodynamic Functions ◽  
Partition Functions ◽  
Thermo Field Dynamics

Within the framework of thermo field dynamics, we derive the partition functions for a harmonic oscillator obeying parafermi and parabose statistics. The thermodynamic functions are studied for different limits of the order of the statistics and are shown to have the expected behaviour.

Approximating power for significance tests with one degree of freedom.

1997 ◽  
Vol 2 (2) ◽  
pp. 186-191 ◽  
Author(s):  
William P. Dunlap ◽  
Leann Myers
Keyword(s):  
Degree Of Freedom ◽  
Significance Tests
Sign in / Sign up

Export Citation Format

Share Document