Spin States and Probability Distribution Functions

V. A. Andreev; O. V. Man’ko; V. I. Man’ko; S. S. Safonov

doi:10.1007/bf03380148

journal article Jul 01, 1998

Spin States and Probability Distribution Functions

V. A. Andreev O. V. Man’ko V. I. Man’ko S. S. Safonov

Journal of Russian Laser Research Vol. 19 No. 4 pp. 340-368 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf03380148

Topics

No keywords indexed for this article. Browse by subject →

References

36

[1]

E. Schrödinger, Ann. Phys. (Leipzig), 79, 489 (1926). 10.1002/andp.19263840602

[2]

L. D. Landau, Z. Phys., 45, 430 (1927) 10.1007/bf01343064

[3]

J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin (1932).

[4]

On the Quantum Correction For Thermodynamic Equilibrium

E. Wigner

Physical Review 1932 10.1103/physrev.40.749

[5]

R. J. Glauber, Phys. Rev. Lett, 10, 84 (1963). 10.1103/physrevlett.10.84

[6]

Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams

E. C. G. Sudarshan

Physical Review Letters 1963 10.1103/physrevlett.10.277

[7]

K. Husimi, Proc. Phys. Math. Soc. Jpn., 23, 264 (1940).

[8]

Y. Kano, J. Math. Phys., 6, 1913 (1986). 10.1063/1.1704739

[9]

�ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik

W. Heisenberg

Zeitschrift f�r Physik 1927 10.1007/bf01397280

[10]

E. Schrödinger, Sitzungsber. Preuss. Acad. Wiss., 24, 296 (1930).

[11]

H. P. Robertson, Phys. Rev., 35, 667 (1930); 46, 794 (1934).

[12]

E. Madelung, Z. Phys., 40, 332 (1926).

[13]

L. De Broglie, Compt. Rend., 183, 447 (1926); 184, 273 (1927); 185, 380 (1927).

[14]

A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

David Bohm

Physical Review 1952 10.1103/physrev.85.166

[15]

J. Bertrand and P. Bertrand, Found. Phys., 17, 397 (1989). 10.1007/bf00733376

[16]

Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase

K. Vogel, H. Risken

Physical Review A 1989 10.1103/physreva.40.2847

[17]

S. Mancini, V. I. Man’ko, and P. Tombesi, Quantum Semiclass. Opt., 7, 615 (1995). 10.1088/1355-5111/7/4/016

[18]

G. M. D’Ariano, S. Mancini, V. I. Man’ko, and P. Tombesi, Quantum Semiclass. Opt., 6, 1017 (1996). 10.1088/1355-5111/8/5/007

[19]

S. Mancini, V. I. Man’ko and P. Tombesi, Phys. Lett. A, 213, 1 (1996). 10.1016/0375-9601(96)00107-7

[20]

S. Mancini, V. I. Man’ko, and P. Tombesi, Found. Phys., 27, 801 (). 10.1007/bf02550342

[21]

V. I. Man’ko, “Quantum mechanics and classical probability theory,” in: B. Gruber and M. Ramek (Eds.), Symmetries in Science IX (Bregenz, Austria, August 1996), Plenum, New York (1997), p. 215.

[22]

J. E. Moyal, Proc. Cambrige Philos. Soc., 99 (1949). 10.1017/s0305004100000487

[23]

V. V. Dodonov and V. I. Man’ko, Phys. Lett. A, 229, 335 (1997). 10.1016/s0375-9601(97)00199-0

[24]

V. I. Man’ko and O. V. Man’ko, JETP, 112, 796 (1997).

[25]

Olga Man’ko, “Tomography of spin states and classical formulation of quantum mechanics,” in: B. Gruber and M. Ramek (Eds.), Symmetries in Science X (Bregenz, Austria, July-August 1997), Plenum, New York (to appear, 1998).

[26]

U. Leonhardt, Phys. Rev. A, 53, 2998 (1996). 10.1103/physreva.53.2998

[27]

O. V. Man’ko, J. Russ. Laser Res., 17, 439 (1996); Phys. Lett. A, 228, 29 (1997). 10.1007/bf02090622

[28]

L. C. Biedenhard and J. D. Louck, Angular Momentum in Quantum Physics. Theory and Application, in: Encyclopedia of Mathematics and Its Applications, Addison-Wesley, Reading, MA (1981), Vol. 8.

[29]

D. P. Zhelobenko, Compact Lie Groups and Their Representation [in Russian], Nauka, Moscow (1970).

[30]

A. N. Leznov, Group Methods of Nonlinear Dynamic System Integration [in Russian], Nauka, Moscow (1985).

[31]

V. I. Man’ko, “Energy levels of quantum system in classical formulation of quantum mechanics,” in: I. M. Dremin and A. M. Semikhatov (Eds.), Proceedings of the Second International A. D. Sakharov Conference on Physics (Moscow, May 1996), World Scientific, Singapore (1997), p. 486; “Optical symplectic tomography and classical probability instead of wave function in quantum mechanics,” in: H.-D. Doebner, W. Scherer, and C. Schultz (Eds.), GROUP21. Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras (Goslar, Germany, June-July 1996), World Scientific, Singapore (1997), Vol. 2, p. 764; “Transition probability between energy levels in the framework of the classical approach,” invited lecture at the Inaguration Conference of APCTP (Seoul, June 1996), (to appear in the Proceedings of the Conference, World Scientific, 1998); “Classical description of quantum states and tomography,” in: D. Han, J. Janszky, Y. S. Kim, and V. I. Man’ko (Eds.), Fifth International Conference on Squeezed State and Uncertainly Relations (Balatonfured, Hungary, May 1997), NASA Conference Publication (1998), Vol. 206855, p. 523.

[32]

V. I. Man’ko and S. S. Safonov, Theor. Math. Phys., 112, 467 (1997).

[33]

V. A. Andreev and V. I. Man’ko, JETP (to appear, 1998).

[34]

O. V. Man’ko, V. I. Man’ko, and S. S. Safonov, Teor. Mat. Fiz., 115, 185 (1998). 10.4213/tmf866

[35]

V. I. Man’ko and S. S. Safonov, Phys. Atomic Nuclei, 61, 585 (1998).

[36]

L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon, New York (1958).

Cited By

33

Wigner Functions and Spin Tomograms for Qubit States

Peter Adam, Vladimir A. Andreev · 2014

Journal of Russian Laser Research

Metrics

33

Citations

36

References

Details

Published: Jul 01, 1998
Vol/Issue: 19(4)
Pages: 340-368

Authors

Cite This Article

V. A. Andreev, O. V. Man’ko, V. I. Man’ko, et al. (1998). Spin States and Probability Distribution Functions. Journal of Russian Laser Research, 19(4), 340-368. https://doi.org/10.1007/bf03380148

Spin States and Probability Distribution Functions

You May Also Like