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1.
The supersymetric path integrals in solving the problem of relativistic spinning particle interacting with pseudoscalar potentials
is examined. The relative propagator is presented by means of path integral, where the spin degrees of freedom are described
by odd Grassmannian variables and the gauge invariant part of the effective action has a form similar to the standard pseudoclassical
action given by Berezin and Marinov. After integrating over fermionic variables (Grassmannian variables), the problem is reduced
to a nonrelativistic one with an effective supersymetric potential. Some explicit examples are considered, where we have extracted
the energy spectrum of the electron and the wave functions.
PACS numbers: 03.65. Ca-Formalism, 03.65. Db-Functional analytical methods, 03.65. Pm-Relativistic wave equations. 相似文献
2.
3.
We have studied the behavior of the Feshbach-Villars equation (FV0) in comparison with the Klein-Gordon one (KG) in the problem of particle pair creation from the vacuum in an external electromagnetic field, considering two approaches: the Schwinger effective action method and the Bogoliubov transformation technique. In the first approach the vacuum to vacuum transition amplitude is calculated treating the FV0 field like a bosonic field. For the second approach, that uses canonical quantization, it is shown that the relative fields and their conjugate moments obey a commutation relation and not anticommutation one. The pair creation probability and the probability that the vacuum remains a vacuum calculated from the FV0 equation are, consequently, the same as those obtained from the KG one.Received: 12 January 2005, Revised: 24 March 2005, Published online: 4 May 2005PACS:
03.65.Ca, 03.65.Db, 03.65.Pm, 23.20.Ra 相似文献
4.
R. Rekioua T. Boudjedaa 《The European Physical Journal C - Particles and Fields》2007,49(4):1091-1098
In this paper we derive the propagator for the one-dimensional Dirac oscillator using the supersymmetric path integral formalism.
The spin calculations are carried out with the help of the technique of Grassmann functional integration. The Green function
is exactly evaluated. The Polyakov spin factor is explicitly derived and the energy spectrum and the corresponding wave functions
are deduced.
PACS 03.65.Ca; 03.65.Db; 03.65.Ge; 03.65.Pm 相似文献
5.
We show that the relation between nonlocality and entanglement is subtler than one naively expects. In order to do this we
consider the neutral kaon system – which is oscillating in time (particle–anti-particle mixing) and decaying – and describe
it as an open quantum system. We consider a Bell–CHSH inequality and show a novel violation for non-maximally entangled states.
Considering the change of purity and entanglement in time we find that, despite the fact that only two degrees of freedom
at a certain time can be measured, the neutral kaon system does not behave like a bipartite qubit system.
PACS 03.65.Ud; 03.65.Yz 相似文献
6.
Wang Rui-min Ge Jian-ya Dai Chao-Qing Zhang Jie-Fang 《International Journal of Theoretical Physics》2007,46(1):102-115
Utilizing the extended projective Ricatti equation expansion method, abundant variable separation solutions of the (2+1)-dimensional
dispersive long wave systems are obtained. From the special variable separation solution (38) and by selecting appropriate
functions, new types of interaction between the multi-valued and the single-valued solitons, such as semi-foldon and dromion,
semi-foldon and peakon, semi-foldon and compacton are found. Meanwhile, we conclude that the solution v is essentially equivalent to the ’universal” formula (1).
PACS numbers 05.45.Yv, 02.30.Jr, 03.65.Ge 相似文献
7.
The brachistochrone curve corresponds to the minimization of the time functional. In this paper we discuss the dynamics of a massive particle, which moves classically on the brachistochrone curve under the potential V=-mgy. We derive the Lagrangian and the Hamiltonian of the particle and show that this problem corresponds to the particle in an infinite wall with a harmonic oscillator potential and the solutions of Schrödingers equation are confluent hypergeometric functions. We also discuss the periodic potential problem for the brachistochrones and obtain the band structure of Kronig-Penney model for the particle with positive energy in a certain limit.Received: 29 January 2003, Published online: 30 July 2003PACS:
03.65.-w Quantum mechanics - 03.65.Ge Solutions of wave equations: bound states - 71.15.Ap Basis sets (LCAO, plane-wave, APW, etc.) and related methodology (scattering methods, ASA, linearized methods, etc.) 相似文献
8.
M. Abdel-Aty M. R. B. Wahiddin A.-S. F. Obada 《International Journal of Theoretical Physics》2007,46(4):972-983
We derive an explicit formula for the quantum mutual entropy as a measure of the total correlations in a multi-level atom
interacting with a cavity field. We describe its theoretical basis and discuss its practical relevance. The effect of the
number of levels involved on the quantum mutual entropy is demonstrated via examples of three-, four- and five-level atom.
Numerical calculations under current experimental conditions are performed and it is found that the number of levels present
changes the general features of the correlations dramatically.
PACS numbers: 32.80.−t, 42.50.Ct, 03.65.Ud, 03.65.Yz. 相似文献
9.
A.E. Bernardini 《The European Physical Journal C - Particles and Fields》2007,49(3):891-896
After reexamining the above-barrier diffusion problem where we notice that the wave packet collision implies the existence
of multiple reflected and transmitted wave packets, we analyze the way of obtaining phase times for tunneling/reflecting particles in
a particular colliding configuration where the idea of multiple peak decomposition is recovered. To partially overcome the
analytical incongruities which frequently arise when the stationary phase method is adopted for computing the (tunneling)
phase-time expressions, we present a theoretical exercise involving a symmetrical collision between two identical wave packets
and a unidimensional squared potential barrier where the scattered wave packets can be recomposed by summing the amplitudes
of simultaneously reflected and transmitted wave components so that the conditions for applying the stationary phase principle
are totally recovered. Lessons concerning the use of the stationary phase method are drawn.
PACS 02.30.Mv, 03.65.Xp 相似文献
10.
The predictions of relativistic Schrödinger theory (RST) for the relativistic effects in helium-like ions with high nuclear charge (
-80) are elaborated in the electrostatic approximation (i.e. neglection of the magnetic interactions). The corresponding RST results are found to meet with the experimental data and with the predictions of other theoretical approaches, provided an estimate of the (neglected) magnetic effects is taken into account. This suggests to carry through high-precision calculations (including the magnetic forces) in order to further test the physical significance of RST.Received: 28 August 2003, Published online: 20 April 2004PACS:
03.65.Pm Relativistic wave equations - 03.65.Ge Solutions of wave equations: bound states - 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bells inequalities, GHZ states, etc.) 相似文献
11.
S. Meljanac A. Samsarov B. Basu-Mallick K.S. Gupta 《The European Physical Journal C - Particles and Fields》2007,49(3):875-889
We analyze a generalization of the quantum Calogero model with the underlying conformal symmetry, paying special attention
to the two-body model deformation. Owing to the underlying SU(1,1) symmetry, we find that the analytic solutions of this model
can be described within the scope of the Bargmann representation analysis, and we investigate its dynamical structure by constructing
the corresponding Fock space realization. The analysis from the standpoint of supersymmetric quantum mechanics (SUSYQM), when
applied to this problem, reveals that the model is also shape invariant. For a certain range of the system parameters, the
two-body generalization of the Calogero model is shown to admit a one-parameter family of self-adjoint extensions, leading
to inequivalent quantizations of the system.
PACS 02.30.Ik; 03.65.Fd; 03.65.-w 相似文献
12.
V. I. Ritus 《Journal of Experimental and Theoretical Physics》2006,102(4):582-602
The symmetry manifests itself in exact relations between the Bogoliubov coefficients for processes induced by an accelerated
point mirror in 1 + 1 dimensional space and the current (charge) densities for the processes caused by an accelerated point
charge in 3 + 1 dimensional space. The spectra of pairs of Bose (Fermi) massless quanta emitted by the mirror coincide with
the spectra of photons (scalar quanta) emitted by the electric (scalar) charge up to the factor e
2/ħc. The integral relation between the propagator of a pair of oppositely directed massless particles in 1 + 1 dimensional space
and the propagator of a single particle in 3 + 1 dimensional space leads to the equality of the vacuum-vacuum amplitudes for
the charge and the mirror if the mean number of created particles is small and the charge e = √ħc. Due to the symmetry, the mass shifts of electric and scalar charges (the sources of Bose fields with spin 1 and 0 in 3 +
1 dimensional space) for the trajectories with a subluminal relative velocity β12 of the ends and the maximum proper acceleration w
0 are expressed in terms of the heat capacity (or energy) spectral densities of Bose and Fermi gases of massless particles
with the temperature w
0/2π in 1 + 1 dimensional space. Thus, the acceleration excites 1-dimensional oscillation in the proper field of a charge,
and the energy of oscillation is partly deexcited in the form of real quanta and partly remains in the field. As a result,
the mass shift of an accelerated electric charge is nonzero and negative, while that of a scalar charge is zero. The symmetry
is extended to the mirror and charge interactions with the fields carrying spacelike momenta and defining the Bogoliubov coefficients
αB,F. The traces trαB,F, which describe the vector and scalar interactions of the accelerated mirror with a uniformly moving detector, were found
in analytic form for two mirror trajectories with subluminal velocities of the ends. The symmetry predicts one and the same
value e
0
= √ħc for the electric and scalar charges in 3 + 1 dimensional space. Arguments are adduced in favor of the conclusion that this
value and the corresponding value α0 = 1/4π of the fine structure constant are the bare, nonrenormalized values.
The text was submitted by the author in English. 相似文献
13.
M Merad 《International Journal of Theoretical Physics》2007,46(8):2105-2118
The Duffin-Kemmer-Petiau (DKP) equation for spin 0 and 1 with smooth potential and position dependent- mass is solved. The
solution is given in terms of the Heun function. The step case for potential and mass are deduced as a limiting case. The
boundary conditions are also discussed.
PACS Numbers:03.30.+p, 03.65.Pm, 03.65.Ge, 03.65.Db 相似文献
14.
We present a new ab initio theoretical formulation to calculate
and hence the positron annihilation rates directly from the onshell and offshell (half) scattering amplitudes. The method does not require any explicit use of the scattering wave function and is formally exact within the framework of the well established Lippmann-Schwinger equation. It could serve as an effective tool as all the T-, K-, and S-matrix formulations, yield directly the scattering amplitudes; not the wave function. Numerical test of the method is presented considering sample static calculations in positron-hydrogen and positron-helium systems.Received: 15 January 2004, Published online: 15 April 2004PACS:
03.65.Nk Scattering theory - 34.85. + x Positron scattering - 71.60. + z Positron states - 78.70.Bj Positron annihilation 相似文献
15.
The one-dimensional Klein-Gordon equation is solved for the PT-symmetric generalized Hulthén potential in the scalar coupling scheme. The relativistic bound-state energy spectrum and the
corresponding wave functions are obtained by using the Nikiforov-Uvarov method which is based on solving the second-order
linear differential equations by reduction to a generalized equation of hypergeometric type.
PACS numbers: 03.65.Fd, 03.65.Ge 相似文献
16.
The (3+1)‐dimensional [(3+1)D] nonlinear Schrödinger (NLS) equation is investigated, describing the propagation of nonlinear spatiotemporal wave packets in a self‐defocusing medium, and a new type of Airy spatiotemporal solutions is presented. By using the reductive perturbation method, the (3+1)D NLS equation is reduced to the spherical Kortewegde Vries (SKdV) equation. Based on the Hirota's bilinear method, the bilinear form of the SKdV equation is constructed and Airy light bullet (LB) solutions of different orders are obtained, which depend on the sets of two free constants associated with the amplitude and initial phase. The results show that these Airy LBs can exist in the self‐defocusing medium and their intensities can be controlled by selecting the suitable free parameters along the propagation distance. As examples, three types of low‐order approximate LB solutions are presented and their intensity profiles numerically discussed. The obtained results are helpful in exploring nonlinear phenomena in a self‐defocusing medium and providing a new approach for possible experimental verification of LBs. 相似文献
17.
An exact and analytic Green function for a spinless particle in interaction with an electromagnetic plane wave field, expressed in the coordinate gauge is given by Parisi-Wu stochastic quantization method. We separate the classical calculations from those related to the quantum fluctuation term. We have used a perturbative treatment relying on phase and configuration spaces formulation.Received: 27 January 2005, Revised: 3 April 2005, Published online: 8 June 2005PACS:
03.65.Ca, 03.65.Pm, 05.10.Gg 相似文献
18.
Sen Yue Lou Man Jia Fei Huang Xiao Yan Tang 《International Journal of Theoretical Physics》2007,46(8):2082-2095
Some simple special Bäcklund transformation theorems are proposed and utilized to obtain exact solutions for the (2+1)-dimensional Euler equation. It is found that the (2+1)-dimensional Euler equation possesses abundant soliton or solitary wave structures, conoid periodic wave structures and the quasi-periodic Bessel wave structures on account of the arbitrary functions in its solutions. Moreover, all solutions of the arbitrary two dimensional nonlinear Poisson equation can be used to construct exact solutions of the (2+1)-dimensional Euler equation. 相似文献
19.
Hawking radiation from the with a global monopole via Schwarzschild black hole gravitational anomaly
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This paper derives the Hawking flux from the Schwarzschild black hole with a global monopole by using Robinson and Wilczek's method. Adopting a dimensional reduction technique, it can describe the effective quantum field in the (3 + 1)-dimensional global monopole background by an infinite collection of the (1 + 1)-dimensional massless fields if neglecting the ingoing modes near the horizon, where the gravitational anomaly can be cancelled by the (1 + 1)- dimensional black body radiation at the Hawking temperature. 相似文献
20.
New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation
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With the help of the homogeneous balance method, the Jacobi elliptic expansion method and the auxiliary equation method, the first elliptic function equation is used to obtain the Jacobi doubly periodic wave solutions of the (2+1)-dimensional B-type Kadomtsev-Petviashvili (BKP) equation and the generalized Klein-Gordon equation. The method is also valid for other (1+1)-dimensional and higher dimensional systems. 相似文献