共查询到20条相似文献,搜索用时 0 毫秒
1.
文章用Schwinger方法与Makri等人发展的幂级数展开法研究了周期阻尼简谐振子的传播子.研究表明,这两种方法所获得的短时传播子非常接近,但是后者比前者要简单得多,这给研究复杂系统的传播子提供了一个简单可靠的方法. 相似文献
2.
3.
The propagator for a certain class of two time-dependent coupled and driven harmonic oscillators with time-varying angular frequencies and masses is evaluated by path integration. This is simply done through suitably chosen generalized canonical transformations and without presupposing the knownledge of any auxiliary equation. The time-dependent oscillators system with exponentially growing masses and coupling coefficient in time may be considered as a particular case. 相似文献
4.
This article uses the phse space path integral method to
find the propagator for a particle with a force quadratic in velocity.
Two specific canonical transformations has been used for this purpose. 相似文献
5.
Generalized path-integral solution and coherent states of the harmonic oscillator in D-dimensions 下载免费PDF全文
We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time- dependent forced harmonic oscillator in D(D ≥ 1) dimensions. The coherent states, defined as the eigenstates of annihilation operator, of the D-dimensional harmonic oscillator are derived. These coherent states correspond to the minimum uncertainty states and the relation between them is investigated. 相似文献
6.
The propagator for a time-dependent damped harmonic oscillator with a force quadratic in velocity isobtained by making a specific coordinate transformation and by using the method of time-dependent invariant. 相似文献
7.
In this note we use the method of invariant to calculate the phase space
path integral appearing in our previous article. 相似文献
8.
9.
S.M. Nagiyev E.I. Jafarov M.Y. Efendiyev 《理论物理通讯》2008,49(2):315-318
The SU(1,1) coherent states for a relativistic model of the linear singular oscillator are considered. The corresponding partition function is evaluated. The path integral for the transition amplitude between SU(1,1) coherent states is given. Classical equations of the motion in the generalized curved phase space are obtained. It is shown that the use of quasiclassical Bohr Sommerfeld quantization rule yields the exact expression for the energy spectrum. 相似文献
10.
By using the path integral approach, we investigate the problem of Hooke's atom (two electrons interacting with Coulomb potential in an external harmonic-oscillator potential) in an arbitrary time-dependent electric field. For a certain infinite set of discrete oscillator frequencies, we obtain the analyticalsolutions. The ground state polarization of the atom is then calculated. The same result is also obtained through linear response theory. 相似文献
11.
The invariant, propagator, and wavefunction for a variable frequency harmonic oscillator in an electromagnetic field are obtained by making a specific coordinate transformation and by using the method of phase space path integral method. The probability amplitudes for a dissipative harmonic oscillator in the time varying electric field E(t) = E0 sin(Ωt) are obtained. 相似文献
12.
ZHOU Li-Juan MENG Cheng-Ju PAN Ji-Huan LIU Bao-Rong MA Wei-Xing 《理论物理通讯》2008,49(3):717-722
Based on the parameterized fully dressed quark propagator proposed by us, the tensor susceptibilities of QCD vacuum and quark vacuum condensates are investigated. Our predicted values of the tensor susceptibilities are in agreement with those predicted by many other theoretical models with QCD feature. The results also show that the tensor susceptibility of QCD vacuum strongly depends on flavor of quark but not sensitive to variation of quark vacuum condensates. However, the quark vacuum condensate is very sensitive to the change of cut-off-parameter μ^2 of the integration, that is, it depends on the separation point of perturbative and non-perturbative QCD region. The successful predictions clearly indicate the extensive validity of our parameterized fully dressed quark propagator used here. 相似文献
13.
We have given a straightforward method to solve the problem of noncentral anharmonic oscillator in three dimensions. The relative propagator is presented by means of path integrals in spherical coordinates. By making an adequate change of time we are able to separate the angular motion from the radial one. The relative propagator is then exactly calculated. The energy spectrum and the corresponding wave functions are obtained. 相似文献
14.
ZHOU Li-Juan GU Yun-Ting MA Wei-Xing MENG Cheng-Ju PAN Ji-Huan 《理论物理通讯》2008,49(1):181-188
Based on the Global Color Symmetry Model, the non-perturbative Q, CD vacuum is investigated in the parameterized fully dressed quark propagator. Our theoretical predictions for various quantities characterized the QCD vacuum are in agreement with those predicted by many other phenomenologieal QCD inspired models. The successful predictions clearly indicate the extensive validity of our parameterized quark propagator used here. A detailed discussion on the arbitrariness in determining the integration cut-off parameter ofμ in calculating QCD vacuum condensates and a good method, which avoided the dependence of calculating results on the cut-off parameter is also strongly recommended to readers. 相似文献
15.
We have given a straightforward method to solve the problem of noncentral anharmonic oscillator in three dimensions. The relative propagator is presented by means of path integrals in spherical coordinates. By making an adequate change of time we are able to separate the angular motion from the radial one. The relative propagator is then exactly calculated. The energy spectrum and the corresponding wave functions are obtained. 相似文献
16.
Based on the solution to the Bargmann-Wigner equations,
a direct derivation of the projection operator and Feynman propagator
for a free massive particle of arbitrary spin is worked out.
The projection operator constructed by Behrends and Fronsdal
is re-deduced and confirmed, and simplified in the case of half-integral
spin, the general commutation rules and Feynman propagator with
additional non-covariant terms for a free massive particle with
any spin are derived, and explicit expressions for the propagators
for spins 3/2, 2, 5/2, 3, 7/2, and 4 are provided. 相似文献
17.
Claudio Simeone 《General Relativity and Gravitation》2000,32(9):1835-1844
The action functional of the anisotropic Kantowski-Sachs cosmological model is turned into that of an ordinary gauge system. Then a global phase time is identified for the model by imposing canonical gauge conditions, and the quantum transition amplitude is obtained by means of the usual path integral procedure of Fadeev and Popov. 相似文献
18.
Starting from the holomorphic discrete series of SU(1, 1), we construct a hyperbolic analogue of a quantum mechanical harmonic oscillator with a Poincaré disc as nonlinear phase space. A Bargmann-type transform is established which interwines the real wave and complex wave representation. The probability distribution of the position observable in vacuum is calculated explicitly, it admits the Gaussian law of the ordinary harmonic oscillator as zero-curvature limit. 相似文献
19.
Deng Lü-bi 《Frontiers of Physics in China》2006,1(1):47-53
The present theory of atom optics is established mainly on the Schr?dinger equations or the matrix mechanics equation. The
authors present a new theoretical formulation of atom optics: Feynman’s path integral theory. Its advantage is that one can
describe the diffraction and interference of atoms passing through slits (or grating), apertures, and standing wave laser
field in Earth’s gravitational field by using a type of wave function and calculation is simple. For this reason, we derive
the wave functions of particles in the following configurations: single slit (and slit with the van der Waals interaction),
double slit, N slit, rectangular aperture, circular aperture, the Mach-Zehnder-type interferometer, the interferometer with the Raman beams,
the Sagnac effect, the Aharonov-Casher effect, the Kapitza-Dirac diffraction effect, and the Aharonov-Bohm effect. The authors
give a wave function of the state of particles on the screen in abovementioned configurations. Our formulas show good agreement
with present experimental measurements. 相似文献
20.
Igor K. Kulikov 《International Journal of Theoretical Physics》2002,41(7):1281-1289
Properties of harmonic oscillator in external fields are studied. The formalism developed is applied to a harmonic oscillator in a nonhomogeneous gravitational field. Partition functions and thermodynamic potentials for trapped Bose and Fermi gases are found. Thermodynamics of trapped Bosons and Fermions in external fields is discussed. 相似文献