Dimensional enhancement of kinetic energies

Abstract

Simple thermodynamics considers kinetic energy to be an extensive variable which is proportional to the number, N, of particles. We present a quantum state of N non-interacting particles for which the kinetic energy increases quadratically with N. This enhancement effect is tied to the quantum centrifugal potential whose strength is quadratic in the number of dimensions of configuration space.

9 pages, accepted by Phys. Rev. A

References in corpus (4)

• Quantum anti-centrifugal force
• Huygens' principle, the free Schrodinger particle and the quantum anti-centrifugal force
• On the concepts of radial and angular kinetic energies
• Unusual bound or localized states

Cited by in corpus (4)

• The Shannon-entropy-based uncertainty relation for $D$-dimensional central potentials
• Quantum anticentrifugal force for wormhole geometry
• The Localization of $s$-Wave and Quantum Effective Potential of a Quasi-Free Particle with Position-Dependent Mass
• Quantum anticentrifugal potential in a bent waveguide