Access over 20 million homework & study documents

Quantum mechanics

Content type
User Generated
Rating
Showing Page:
1/15

Sign up to view the full document!

lock_open Sign Up
Showing Page:
2/15

Sign up to view the full document!

lock_open Sign Up
Showing Page:
3/15

Sign up to view the full document!

lock_open Sign Up
End of Preview - Want to read all 15 pages?
Access Now
Unformatted Attachment Preview
Derivation of Bose-Einstein and Fermi-Dirac statistics from quantum mechanics: Gauge-theoretical structure Yuho Yokoi1 and Sumiyoshi Abe2,3,4 *) 1 Graduate School of Engineering, Mie University, Mie 514-8507, Japan Physics Division, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China 3 Department of Physical Engineering, Mie University, Mie 514-8507, Japan 4 Institute of Physics, Kazan Federal University, Kazan 420008, Russia 2 Abstract. A possible quantum-mechanical origin of statistical mechanics is discussed, and microcanonical and canonical ensembles of bosons and fermions are derived from the stationary Schrödinger equation in a unified manner. The interaction Hamiltonians are constructed by the use of the discrete phase operators and the gauge-theoretical structure associated with them. It is shown how the interaction Hamiltonians stipulated by the gauge symmetry generate the specific patterns of entanglement that are desired for establishing microcanonical ensembles. A discussion is also made about the interrelation between random phases and perfect decoherence in vanishing-interaction limit. Keywords: quantum origin of statistical mechanics, entanglement, gauge symmetry ______________ *) Corresponding author 1 the At the fundamental level of its principles, statistical mechanics may be inseparable from quantum mechanics. An evidence for this may be seen in the fact that the Planck constant is indispensable even f ...
Purchase document to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Anonymous
Nice! Really impressed with the quality.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4