Second quantization of field systems on a Grassmann Algebra dual string with internal spin
Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 25-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the classical mechanics and canonical quantization of systems with commuting and anticommuting variables (mixed systems). Boson and fermion dual strings with internal spin are second quantized. A representation of the propagator of the spin string in terms of a path integral with respect to commuting and anticommuting variables is considered and a rule for matching such integrals is obtained.
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N. V. Borisov; M. V. Ioffe; M. I. Eides. Second quantization of field systems on a Grassmann Algebra dual string with internal spin. Teoretičeskaâ i matematičeskaâ fizika, Tome 29 (1976) no. 1, pp. 25-41. http://geodesic.mathdoc.fr/item/TMF_1976_29_1_a2/

[1] S. Mandelstam, Nucl. Phys., B64 (1973), 205 | DOI

[2] S. Mandelstam, Nucl. Phys., B69 (1974), 77 | DOI

[3] M. Kaku, K. Kikkawa, Phys. Rev., D10 (1974), 1110 | MR

[4] N. V. Borisov, M. V. Ioffe, M. I. Eides, YaF, 21 (1975), 655 | MR

[5] E. Gemmer, J. L. Gervais, Nucl. Phys., B90 (1975), 501

[6] Y. Iwasaki, K. Kikkawa, Phys. Rev., D8 (1973), 440

[7] J. L. Martin, Proc. Roy. Soc., A251 (1959), 536 | DOI | MR | Zbl

[8] A. Salam, J. Strathdee, Phys. Rev., D11 (1975), 1521 | MR

[9] N. V. Borisov, M. V. Ioffe, M. I. Eides, Vestn. LGU, 3 (1976)

[10] N. P. Konopleva, V. N. Popov, Kalibrovochnye polya, «Atomizdat», 1972, str. 173–174 | MR

[11] F. A. Berezin, Metod vtorichnogo kvantovaniya, «Nauka», 1965 | MR

[12] F. A. Berezin, Matem. zametki, 1 (1967), 269 | MR | Zbl

[13] P. A. M. Dirak, Printsipy kvantovoi mekhaniki, «Fizmatgiz», 1960, str. 128 | MR

[14] F. A. Berezin, M. S. Marinov, Pisma v ZhETF, 21 (1975), 678

[15] Yu. V. Novozhilov, Vvedenie v teoriyu elementarnykh chastits, «Nauka», 1972, str. 120–139 | MR | Zbl

[16] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, t. 3, «Nauka», 1967, str. 274 | MR

[17] R. Feinman, A. Khibs, Kvantovaya mekhanika i integraly po traektoriyam, «Mir», 1968, str. 77

[18] I. M. Khalatnikov, ZhETF, 28 (1954), 633

[19] A. Salam, P. T. Matthews, Nuovo Cim., 12 (1954), 563 | DOI | Zbl

[20] D. Candlin, Nuovo Cim., 4 (1956), 231 | DOI | MR | Zbl

[21] F. A. Berezin, DAN SSSR, 137 (1961), 311 | Zbl