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].
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aug 2009