Quantization, non-locality and lie-admissible formulations

Conference · Sun Aug 01 04:00:00 EDT 1982 · Hadronic J.; (United States)

OSTI ID:6370549

Broadbridge, P

If higher order wave equations are reduced to first order by supplementary conditions, then quadratic Hamiltonians of the most general type will emerge. Even then, for several reasons elaborated below, canonical quantization can still not be applied consistently. The benefit of clinging to a Lagrangian description of non-localized phenomena is then questionable. Non canonical quantization procedures should be considered. Some initial attempts at Lie-admissible quantization are examined critically here, and it is concluded that further recourse to experiment seems to be necessary.

• Research Organization: Western Australian Inst. of Tech., South Bentley
• OSTI ID: 6370549
• Report Number(s): CONF-820136-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 5:5
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
LIE GROUPS
LOCALITY
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SYMMETRY GROUPS
WAVE EQUATIONS