Statistical mechanics of one-dimensional quantum droplets

Statistical mechanics of relativistic one-dimensional self-gravitating systems.

We consider the statistical mechanics of a general relativistic one-dimensional self-gravitating system. The system consists of N particles coupled to lineal gravity and can be considered as a model of N relativistically interacting sheets of uniform mass. The partition function and one-particle distribution functions are computed to leading order in 1/c where c is the speed of light; as c --> ...

Probability Densities for Some One-Dimensional Problems in Statistical Mechanics

Quantum Mechanics_ Quantum statistical mechanics

Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. In quantum mechanics a statistical ensemble (probability distribution over possiblequantum states) is described by a density operatorS, which is a nonnegative, self-adjoint, trace-classoperator of trace 1 on the Hilbert space Hdescribing the quantum system. This can be shown under various mathematical ...

Quantum Mechanics of One-Dimensional Trapped Tonks Gases

Several experimental groups are currently working towards realizing quasione-dimensional (1D) atom de Broglie waveguides and loading them with ultracold atoms. The dynamics becomes truly 1D in a regime (Tonks gas) of low temperatures and densities, and large positive scattering lengths for which the transverse mode becomes frozen, in which case the many-body Schrödinger dynamics becomes exactly...

Statistical Quantum Mechanics

3 Thermodynamic State Variables and State Equations 8 3.1 State Variables and Equilibrium . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.1.1 Exhaustive set of state variables? . . . . . . . . . . . . . . . . . . . . 8 3.1.2 Are state variables de ned only in equilibrium? . . . . . . . . . . . . 11 3.1.3 Concept of local equilibrium . . . . . . . . . . . . . . . . . . . . . . . 12 3.1.4 C...