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Volumn 67, Issue 6 2, 2003, Pages

Tunneling as a stochastic process: A path-integral model for microwave experiments

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELECTROMAGNETIC WAVE PROPAGATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MICROWAVES; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; WAVE EQUATIONS; WAVEGUIDES;

EID: 42749106394     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (8)

References (27)
  • 1
    • 84858771454 scopus 로고
    • note
    • M. Kac, Rocky Mt. J. Math. 4, 497 (1974), which is a partial reproduction of the work presented at the Magnolia Petroleum Company and Socony Mobil Oil Company Lectures in the Pure and Applied Sciences, No. 2, 1956; S. Goldstein, however, was probably the first to realize a connection between the Poisson walk and the telegrapher's equation.
    • (1974) Rocky Mt. J. Math. , vol.4 , pp. 497
    • Kac, M.1
  • 10
    • 33645065716 scopus 로고
    • note; edited by Cerdeira et al. (World Scientific, Singapore)
    • 2. S.K. Foong, in Lectures on Path Integration: Trieste 1991, edited by Cerdeira et al. (World Scientific, Singapore, 1993), p. 427.
    • (1993) Lectures on Path Integration: Trieste 1991 , pp. 427
    • Foong, S.K.1
  • 14
    • 33645055779 scopus 로고    scopus 로고
    • note
    • Once the proper substitutions have been made, Eq. (5) is nothing but the first momentum of the distribution g(r,t), as given by Eq. (34) in Ref. [1].
  • 15
    • 33645057805 scopus 로고    scopus 로고
    • note
    • 0, can be compensated by the last term in Eq. (7).
  • 19
    • 0032399080 scopus 로고    scopus 로고
    • note
    • The finite qualities Δx and Δt should not be confused with δx and δt, mentioned at the beginning, which are infinitesimal and characterize the grain of the process. A. Ranfagni, R. Ruggeri, and A. Agresti, Found. Phys. 28, 515 (1998).
    • (1998) Found. Phys. , vol.28 , pp. 515
    • Ranfagni, A.1    Ruggeri, R.2    Agresti, A.3
  • 23
    • 33645055220 scopus 로고    scopus 로고
    • note
    • 2, we obtain Eq. (10). Therefore, Eq. (10) can be obtained from Eq. (11) when the argument 2aL/v is small (as it can be in tunneling) and limited to 1/2a, as required by the previous analysis.
  • 24
    • 0003964085 scopus 로고    scopus 로고
    • edited by J.C. Muga et al., Lecture Notes in Physics (Springer, Berlin)
    • in Time in Quantum Mechanics, edited by J.C. Muga et al., Lecture Notes in Physics (Springer, Berlin, 2002).
    • (2002) Time in Quantum Mechanics


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