Path Integral Treatment for Spinless Relativistic Equation in the Two Component Theory

M. MERAD; T. Boudjedaa And L. CHETOUANI

Makale detayları

Path Integral Treatment for Spinless Relativistic Equation in the Two Component Theory

Yazarlar:

M. MERAD | T. Boudjedaa And L. CHETOUANI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2001 Vol.25 Issue 3, pp.159-174

Belge Tipi:

Makale

Yayın Tarihi:

2/2001

Belge Dili:

Türkçe

Document ID (Org No.):

2000762435

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

In this paper we have set up a path integral formalism for Feshbach-Villars equation by using the fermionic Schwinger model for Pauli matrices which  describe an isocharge symmetry. This choice is made in analogy with spin  model and the coherent state representation is then used. We have also given  a general method of treating the problem of vanishing scalar potential by  reducing it the to non-relativistic case and then, via Foldy-Wouthuysen  canonical transformation, an explicit solution is constructed. The free case  and constant magnetic field interaction are explicitly exposed. In each  cases the propagators are evaluated and the energy spectrum and the  corresponding wave functions are deduced.    P.A.C.S.03.65 Ca.Formalism  P.A.C.S.03.65 Db.Functional analytical methods  P.A.C.S.03.65 Pm.Relativistic wave equations  P.A.C.S.03.65 Ge.Solutions of wave equations: bound states.

 

In this paper we have set up a path integral formalism for Feshbach-Villars equation by using the fermionic Schwinger model for Pauli matrices which  describe an isocharge symmetry. This choice is made in analogy with spin  model and the coherent state representation is then used. We have also given  a general method of treating the problem of vanishing scalar potential by  reducing it the to non-relativistic case and then, via Foldy-Wouthuysen  canonical transformation, an explicit solution is constructed. The free case  and constant magnetic field interaction are explicitly exposed. In each  cases the propagators are evaluated and the energy spectrum and the  corresponding wave functions are deduced.    P.A.C.S.03.65 Ca.Formalism  P.A.C.S.03.65 Db.Functional analytical methods  P.A.C.S.03.65 Pm.Relativistic wave equations  P.A.C.S.03.65 Ge.Solutions of wave equations: bound states.

Makale detayları

Path Integral Treatment for Spinless Relativistic Equation in the Two Component Theory

Yazarlar:

M. MERAD | T. Boudjedaa And L. CHETOUANI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2001 Vol.25 Issue 3, pp.159-174

Belge Tipi:

Makale

Yayın Tarihi:

2/2001

Belge Dili:

Türkçe

Document ID (Org No.):

2000762435

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Turk. J. Phys.

25

(2001)

159-174. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.25

iss.3.

Sayı

Makale detayları

Path Integral Treatment for Spinless Relativistic Equation in the Two Component Theory

Yazarlar: M. MERAD | T. Boudjedaa And L. CHETOUANI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2001 Vol.25 Issue 3, pp.159-174

Belge Tipi: Makale

Yayın Tarihi: 2/2001

Belge Dili: Türkçe

Document ID (Org No.): 2000762435

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Turk. J. Phys.

25

(2001)

159-174. Full text: pdf Other articles published in the same issue: Turk. J. Phys.

vol.25

iss.3.

Sayı

Yazarlar:

M. MERAD | T. Boudjedaa And L. CHETOUANI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2001 Vol.25 Issue 3, pp.159-174

Belge Tipi:

Makale

Yayın Tarihi:

2/2001

Belge Dili:

Türkçe

Document ID (Org No.):

2000762435

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101