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  • 1
    Electronic Resource
    Electronic Resource
    A harmonic oscillator system with the generalized commutation relations (1989)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 376-379 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The system of a one-dimensional harmonic oscillator is discussed with the generalized commutation relations obtained by Wigner. The Hamiltonian is shown to have self-adjoint extensions. The domain of self-adjointness is explicitly specified in some cases. The proof is carried out by the use of the Lax–Milgram lemma. A suitable rigged Hilbert space is found for this system to reformulate the earlier arguments. The main difficulty is that the momentum and Hamiltonian operators contain the reflection Rψ(x)=ψ(−x) as well as singular terms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528455
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  • 2
    Electronic Resource
    Electronic Resource
    Self-adjointness of the operators in Wigner's commutation relations (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 3653-3665 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Both self-adjointness and spectra of the momentum operator p and the Hamiltonian H are studied: p=−i{d/dx−(c/x)R}; H=2−1{−(d/dx)2+(c/x2)(c−R)+x2}, for a one-dimensional harmonic oscillator governed by Wigner's commutation relations. Here, c is a real parameter and Rψ(x)=ψ(−x). First the essential self-adjointness of p and H are shown to obtain that the spectrum of H consists of eigenvalues only. Moreover, we clarify the meaning in L2(R) of the classical form H=2−1(p2+x2). Next it is shown that every real number is in the continuous spectrum of p, by introducing a kind of generalized Fourier transform B satisfying p=B−1xB for the multiplication x. In the case of c=0, B turns out to be the ordinary Fourier transform and p becomes the well-known operator. By the methods stated above, all the results of the recent papers, where some restrictions on the parameter c were imposed, are improved.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529860
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  • 3
    Electronic Resource
    Electronic Resource
    A prospective randomized study of prophylaxis of tumor recurrence following transurethral resection of superficial bladder cancer-intravesical thio-TEPA versus oral UFT (1992)
    Springer
    Cancer chemotherapy and pharmacology 30 (1992), S. S26 
    Details
    ISSN: 1432-0843
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The long-term prophylactic effect of chemotherapy following transurethral electroresection of bladder tumors (TUR-Bt) was investigated using three different modalities: no prophylactic treatment (group C); oral UFT given at 1296 mg/day for 2 years (group U); and intravesical thio-TEPA at 30 mg/30 ml physiological saline, instilled 32 times over 2 years (group T). Patients newly diagnosed as having superficial bladder cancer (stage, ≦pTlb; grade, ≦G2) who had undergone TUR-Bt at Nara Medical University and its affiliated hospitals between November 1986 and March 1990 were allocated to one of the three groups by the envelope method. The initial treatment was maintained until the third recurrence or disease progression, except for TUR-Bt which was performed at the time of recurrence. The registered cases included 51 patients in group C, 50 in group U, and 52 in group T, and the number of evaluable cases in each group were 48, 47, and 45, respectively. The non-recurrence rates at 3 years were 54% in group C, 67% in group U, and 85% in group T, and the difference between groups T and C was significant. In terms of the tumor grade and stage, No significant difference was observed among the groups in the category of G1 or Ta tumors, but the non-recurrence rates determined in group T for G2 or T1 tumors were significantly higher than those obtained in group C. Moreover, no significant difference was found among the groups in relation to solitary tumors, but the non-recurrence rate obtained in group T for multiple tumors was significantly higher than that determined in group C. The overall cumulative recurrence rate in each group was 3.07 in group C, 1.95 in group U, and 0.70 in group T, and that determined according to tumor grade, stage, and multiplicity was also highest in group C, followed by group U and group T. The main adverse effects encountered were upper gastrointestinal (GI) symptoms (8.5%) in group U and irritable bladder (11.1%) in group T. Intravesical instillation of thio-TEPA tended to produce greater preventive efficacy than did oral UFT during the early postoperative period, but the prophylactic efficacy of thio-TEPA and UFT should be elucidated over a longer observation period.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00686937
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  • 4
    Electronic Resource
    Electronic Resource
    Prophylactic treatment for superficial bladder cancer following transurethral resection (1987)
    Springer
    Cancer chemotherapy and pharmacology 20 (1987), S. S85 
    Details
    ISSN: 1432-0843
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A total of 130 primary cases with superficial bladder cancer were entered in the prospective randomized group study. The prophylactic treatments compared consisted in intravesical instillation of adriamycin (20 mg/40 ml or 30 mg/30 ml), mitomycin C (20 mg/40 ml) or thio-TEPA (30 mg/30 ml), and noninstillation treatments with etretinate or tegafur; control patients were also studied. All agents were administered for 2 years. Recurrences were significantly suppressed in the instillation groups compared with control and non-instillation groups. Significant suppression of recurrence was observed in stage 1 or grade 2 disease treated with prophylactic instillation administered over the first 24 months of a 48-month observation period. These results may indicate the clinical usefulness of prophylactic instillation, but the long-term effect of intravesical instillation is still uncertain. A long-term follow-up study is therefore necessary.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00262494
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  • 5
    Electronic Resource
    Electronic Resource
    Long-term prophylactic effects of intravesical instillation of thiotepa and oral administration of UFT on the recurrence of superficial bladder cancer after transurethral resection (1999)
    Springer
    International journal of clinical oncology 4 (1999), S. 224-229 
    Details
    ISSN: 1437-7772
    Keywords: Key words Superficial bladder cancer ; Prophylactic treatment ; Thiotepa ; UFT ; Long-term analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Background. We examined the long-term effects of two chemotherapeutic agents, thiotepa and UFT, a 4 : 1 mixture of uracil and tegafur (a 5-fluorouracil pro-drug), in preventing postoperative recurrence of superficial bladder cancer. Methods. The subjects of the study were 153 patients with newly diagnosed superficial bladder cancer (≦ grade 2, ≦ pT1b) who underwent transurethral resection of bladder tumors (TURbt) between November 1986 and March 1990. The patients were randomized into three groups, group 1 (intravesical instillation of thiotepa), group 2 (oral administration of UFT), and group 3 (no treatment). The initial treatment was maintained until the third recurrence or disease progression. The patients were observed until February 1997 and the findings analyzed statistically. Results. The non-recurrence rate during the 5-year period after TURbt was 85.2% in group 1, 40.3% in group 2, and 53.2% in group 3, with the rate in group 1 significantly higher than that in groups 2 and 3. Analysis of the non-recurrence rate in relation to cancer grade or stage showed that patients with grade 2, stage pT1 tumors in group 1 had a significantly higher non-recurrence rate than patients with grade 2, pT1 in tumors groups 2 and 3. Multivariate analysis by Cox's proportional hazards regression model confirmed that prophylactic treatment was the most important factor affecting the non-recurrence rate. Conclusion. Intravesical thiotepa instillation after TURbt was useful to prevent the recurrence of bladder cancer in patients with grade 2 or pT1 tumor in a 5-year period.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s101470050058
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