Exact spin coherent state path integral for a neutral spinning particle interacting with a rotating magnetic field and a scalar potential

2012 ◽  
Author(s):  
Mekki Aouachria ◽  
Rima Rekik
Keyword(s):  
Magnetic Field ◽  
Coherent State ◽  
Path Integral ◽  
Scalar Potential ◽  
Rotating Magnetic Field ◽  
Spinning Particle ◽  
Spin Coherent State ◽  
State Path

scholarly journals A NOTE ON (SPIN-) COHERENT-STATE PATH INTEGRAL

1999 ◽  
Vol 13 (02) ◽  
pp. 107-140 ◽  
Author(s):  
JUNYA SHIBATA ◽  
SHIN TAKAGI
Keyword(s):  
Coherent State ◽  
Path Integral ◽  
Continuous Time ◽  
Classical Level ◽  
Classical Action ◽  
Single Spin ◽  
Spin Coherent State ◽  
Classical Path ◽  
Time Formalism ◽  
State Path

It is pointed out that there are some fundamental difficulties with the frequently used continuous-time formalism of the spin-coherent-state path integral. They arise already in a single-spin system and at the level of the "classical action" not to speak of fluctuations around the "classical path". Similar difficulties turn out to be present in the case of the (boson-)coherent-state path integral as well; although partially circumventable by an ingenious trick (Klauder's ∊-prescription) at the "classical level", they manifest themselves at the level of fluctuations. Detailed analysis of the origin of these difficulties makes it clear that the only way of avoiding them is to work with the proper discrete-time formalism. The thesis is explicitly illustrated with a harmonic oscillator and a spin under a constant magnetic field.

Fermionic Schwinger model for spinning Feshbach–Villars particle in magnetic field

2019 ◽  
Vol 34 (19) ◽  
pp. 1950101 ◽  
Author(s):  
T. Boudjedaa ◽  
M. Merad
Keyword(s):  
Magnetic Field ◽  
Coherent State ◽  
Spin Symmetry ◽  
Magnetic Interaction ◽  
Wave Functions ◽  
Spinning Particle ◽  
Schwinger Model ◽  
Free Case ◽  
Set Up ◽  
State Path

Propagator for spinning particle described in the Feshbach–Villars formalism is set up using fermionic coherent state path integral. The fermionization of the charge-spin symmetry is presented following the Schwinger recipe. The explicit calculations are done in the free case and magnetic interaction using the Foldy–Wouthuysen tranformation. The spectrum and wave functions are deduced.

Bosonic Schwinger model for spinning Feshbach–Villars particle in step potential

2020 ◽  
Vol 35 (04) ◽  
pp. 2050010
Author(s):  
T. Boudjedaa ◽  
M. Merad
Keyword(s):  
Coherent State ◽  
Path Integral ◽  
Perturbation Technique ◽  
Spin Symmetry ◽  
Step Potential ◽  
Spinning Particle ◽  
Schwinger Model ◽  
Boson Model ◽  
Set Up ◽  
State Path

Propagator for spinning particle described in the Feshbach–Villars formalism is set up using the bosonic coherent state path integral. The boson model for the charge-spin symmetry is presented following the Schwinger recipe. The calculations are explicitly evaluated in the case of the step potential. The perturbation technique is used and the series are exactly summed.

Path integral for spinning particle in magnetic field via bosonic coherent states

1995 ◽  
Vol 36 (4) ◽  
pp. 1602-1615 ◽  
Author(s):  
T. Boudjedaa ◽  
A. Bounames ◽  
L. Chetouani ◽  
T. F. Hammann ◽  
Kh. Nouicer
Keyword(s):  
Magnetic Field ◽  
Path Integral ◽  
Coherent States ◽  
Spinning Particle
Sign in / Sign up

Export Citation Format

Share Document