27 citations · 55 across the 18 of their papers we have counts for
18 papers
Singular zero-temperature system
Q. H. Liu, S. F. Xiao, D. Guo +1
It has long been taken for granted that there is only one type of thermodynamic system near absolute zero temperature: the ordinary one compatible with all statements of the third…
The vanishing of heat capacity as thermodynamic third law implies existence of singular systems
S. F. Xiao, Q. H. Liu
A corollary of the third law of thermodynamics is that the heat capacities of a system approach zero as the temperature approaches absolute zero Kevin. Many have attempted to take…
On relation between renormalized frequency and heat capacity for particles in an anharmonic potential
Y. T. Liu, Y. H. Zhao, Y. Zhong +3
For free particles in a simple harmonic potential plus a weak anharmonicity, characterized by a set of anharmonic parameters, Newtonian mechanics asserts that there is a renormaliz…
A correspondence from renormalized frequency to heat capacity for particles in an anharmonic potential
Y. T. Liu, Y. H. Zhao, Y. Zhong +2
For particles in an anharmonic potential, classical mechanics asserts that there is a renormalization of the bare frequency of the oscillatory motion, and statistical mechanics cla…
Asynchronous finite differences in most probable distribution with finite numbers of particles
Q. H. Liu
For a discrete function on a discrete set, the finite difference can be either forward and backward. If is a sum of two such functions $f\le…
Geometrical aspect of susceptibility critical exponent
Q. H. Liu
Critical exponent characterizes behavior of the mechanical susceptibility of a real fluid when temperature approaches the critical one. It results in zero Gaussian c…
The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere
Z. Li, L. Q. Lai, Y. Zhong +1
A particle that is constrained to freely move on a hyperspherical surface in an dimensional flat space experiences a curvature-induced gauge potential, who…
Local shape of the vapor-liquid critical point on the thermodynamic surface and the van der Waals equation of state
J. S. Yu, X. Zhou, J. F. Chen +3
Differential geometry is powerful tool to analyze the vapor-liquid critical point on the surface of the thermodynamic equation of state. The existence of usual condition of the cri…
Breakdown of equipartition of energy for vibrational heat capacity of diatomic molecular gas due to nonvanishing bond length
X. Y. Wu, S. Y. Wang, J. R. Yang +2
When the theorem of equipartition of energy applies to the vibrational degree of freedom within diatomic molecular gas, the bond length is usually taken as zero so that the theorem…
Geometric momentum and angular momentum for charge-monopole system
S. F. Xiao, Q. H. Liu
For a charge-monopole pair, though the definition of the orbital angular momentum is different from the usual one, and the transverse part of the momentum that includes the vector…
Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface
Q. H. Liu, X. Yang, Z. Li
As a nonrelativistic particle constrained to remain on an () dimensional hypersurface embedded in an dimensional Euclidean space, two different components $p_{i}…
The centripetal force law and the equation of motion for a particle on a curved hypersurface
L. D. Hu, D. K. Lian, Q. H. Liu
It is pointed out that the current form of extrinsic equation of motion for a particle constrained to remain on a hypersurface is in fact a half-finished version for it is establis…
Generalized Centripetal Force Law and Quantization of Motion Constrained on 2D Surfaces
Q. H. Liu
For a particle moves on a 2D surface f(x)=0 embedded in 3D Euclidean space, the geometric momentum and potential are simultaneously admissible within the Dirac canonical quantizati…
A self-adjoint decomposition of radial momentum implies that Dirac's introduction of the operator is insightful
Q. H. Liu, S. F. Xiao
With acceptance of the Dirac's observation that the \textit{canonical quantization entails using Cartesian coordinates, }we examine the\textit{\ }% operator r…
Posmon spectrosopy of quantum state on a circle
Q. H. Liu
Developing the analysis of the distribution of the particle's position-momentum dot product, the so-called \textit{posmom} \textbf{,} to quantum state…
Can the canonical quantization be accomplished within the intrinsic geometry?
D. M. Xun, Q. H. Liu
For particles constrained on a curved surface, how to perform quantization within Dirac's canonical quantization scheme is a long-standing problem. On one hand, Dirac stressed that…
On relation between geometric momentum and annihilation operators on a two-dimensional sphere
Q. H. Liu, Y. Shen, D. M. Xun +1
With a recently introduced geometric momentum that depends on the extrinsic curvature and offers a proper description of momentum on two-dimensional sphere, we show that the annihi…
Geometric Momentum for a Particle on a Curved Surface
Q. H. Liu
When a two-dimensional curved surface is conceived as a limiting case of a curved shell of equal thickness d, where the limit d\rightarrow0 is then taken, the well-known geometric…