Quantization of Second-Class Constrained Systems

In General > s.a. BRST quantization; constrained systems.
* Dirac prescription: To quantize, impose the constraints strongly.
@ References: Grundling & Hurst CMP(88); Egoryan & Manvelyan TMP(93); Nakamura & Minowa JMP(93); Klauder & Shabanov NPB(98)ht/97; Bratchikov LMP(02) [quantization of Dirac brackets]; Nuramatov & Prokhorov IJGMP(06)qp/05 [reduction to first-class].

Specific Types of Systems > s.a. Rotor.
@ Particle on a sphere: Kleinert & Shabanov PLA(97); Hong et al MPLA(00).
@ Motion on general submanifolds: Golovnev IJGMP(06)qp/05 [Dirac prescription]; Golovnev a0812-in [canonical quantization].
@ Time-dependent: Gadjiev & Jafarov JPA(07)ht/06.

Approaches
@ Covariant: Lyakhovich & Marnelius IJMPA(01)ht.
@ BRST approach: Batalin & Fradkin NPB(87); Niemi PLB(88); Batalin et al TMP(01)ht, PLB(02)ht/01 [generalized, first + second-class].
@ BFFT approach: Amorim & Thibes JMP(99)ht.
@ Path-integral approach: Senjanovic AP(76); Batalin & Marnelius MPLA(01)ht [Lagrangian, as gauge theory]; Chesterman ht/02.
@ Hamilton-Jacobi approach: Hong et al qp/01.
@ Faddeev-Jackiw approach: Barcelos-Neto & Wotzasek IJMPA(92).
@ Deformation quantization: Batalin et al JMP(05)ht [general method].

main page – abbreviations – journals – comments – other sites – acknowledgements
send feedback and suggestions to bombelli at olemiss.edu – modified 8 aug 2009