Accession Number:

AD0652840

Title:

A THEOREM ON SPIN-EIGENFUNCTIONS.

Descriptive Note:

Technical note

Corporate Author:

MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB

Personal Author(s):

• Kaplan, Thomas A.
• Kleiner, Walter H.

Report Date:

1967-05-24

Pagination or Media Count:

24.0

Abstract:

A theorem is proved to the effect that a wave function for a set of N spins, which is a product of single-spin wave functions and which is an eigenstate of the square of the total spin, must be a state with the maximum possible value of Sz, z being an arbitrary direction. This theorem has been applied in a separate work to show strikingly that the imposition of symmetry restrictions of a common type on an approximate wave function can lead to a very poor physical description.

Descriptors:

• *SPINNING(MOTION)
• *WAVE FUNCTIONS
• ANTIFERROMAGNETISM
• ELECTRONS
• FERROMAGNETISM
• FUNCTIONS(MATHEMATICS)
• HARTREE FOCK APPROXIMATION
• THEOREMS
• VECTOR ANALYSIS

Subject Categories:

• Numerical Mathematics
• Nuclear Physics and Elementary Particle Physics
• Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE