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  • 1
    Online Resource
    Online Resource
    San Diego :Elsevier Science & Technology,
    Keywords: Electrophoresis. ; Electrochemistry. ; Electronic books.
    Type of Medium: Online Resource
    Pages: 1 online resource (433 pages)
    Edition: 1st ed.
    ISBN: 9780080858067
    Series Statement: Issn Series ; v.Volume 6
    DDC: 543/.0871
    Language: English
    Note: Front Cover -- Isotachophoresis: Theory, Instrumentation and Applications -- Copyright Page -- Contents -- Preface -- Chapter 1. Historical review -- Summary -- 1. Historical review -- References -- PART 1: THEORY -- Chapter 2. Principles of electrophoretic techniques -- Summary -- 2.1. Introduction -- 2.2. Principle of zone electrophoresis -- 2.3. Principle of moving-boundary electrophoresis -- 2.4. Principle of isotachophoresis -- 2.5. Principle of isoelectric focusing -- 2.6. Discussicin -- Chapter 3. Concept of mobility -- Summary -- 3.1. Introduction -- 3.2. Interpretation of electrophoretic migration -- 3.3. Ionic mobility and ionic equivalent conductivity -- 3.4. Effective ionic mobility -- 3.5. Determination of ionic mobilities -- References -- Chapter 4. Mathematical model for isotachophoresis -- Summary -- 4.1. Introduction -- 4.2. General equations -- 4.3. Mathematical model for the steady state in isotachophoresis -- 4.4. Validity of the isotachophoretic model -- 4.5. Check of the isotachophoretic model -- References -- Chapter 5. Choice of electrolyte systems -- Summary -- 5.1. Introduction -- 5.2. Choice of the solvent -- 5.3. Choice of the buffering counter ionic species -- 5.4. Choice of the pH of the leading electrolyte -- 5.5. Choice of the terminating and leading ionic species -- 5.6. Additions to the electrolyte solutions -- 5.7. Discussion -- 5.8. Examples -- References -- PART 2: INSTRUMENTATION -- Chapter 6. Detection systems -- Summary -- 6.1. Introduction -- 6.2. Thermometric recording -- 6.3. High-frequency conductivity detection -- 6.4. Conductivity detection -- 6.5. UV absorption meter -- 6.6. Additives to the electrolytes -- 6.7. Coating of the micro-sensing electrodes -- 6.8. Detection limits -- 6.9. Conclusion -- References -- Chapter 7. Instrumentation -- Summary -- 7.1. Introduction -- 7.2. Injection systems. , 7.3. Counter electrode compartments -- 7.4. Equipment -- 7.5. Counter flow of electrolyte -- PART 3: APPLICATIONS -- Chapter 8. Introduction -- Summary -- 8. Introduction -- Chapter 9. Practical aspects -- Summary -- 9.1. Introduction -- 9.2. Disturbances caused by hydrogen and hydroxyl ions -- 9.3. Disturbances due to the presence of carbon dioxide -- 9.4. Enforced isotachophoresis -- 9.5. Water as terminator -- 9.6. Purification of the terminator -- 9.7. Conversion of data measured with different detectors -- References -- Chapter 10. Quantitative aspects -- Summary -- 10.1. Introduction -- 10.2. Theoretical -- 10.3. Thermometric measurements -- 10.4. Conductimetric measurements -- 10.5. Conclusion -- References -- Chapter 11. Separation of cationic species in aqueous solutions -- Summary -- 11.1. Separation of cationic species in aqueous solutions using a thermocouple as detector -- 11.2. Separation of cationic species in water and deuterium oxide using a conductivity detector (a.c. method) and a UV absorption detector (256 nm) -- Chapter 12 . Separation of anionic species in aqueous solutions -- Summary -- 12.1. Separation of anionic species in aqueous solutions using a thermometric detector -- 12.2. Separation of anionic species in aqueous solutions using a conductivity detector (a.c. method) and a UV absorption detector (256 nm) -- Chapter 13. Amino acids, peptides and proteins -- Summary -- 13.1. Amino acids -- 13.2. Separation of proteins in ampholyte gradients -- 13.3. Separation of small peptides -- References -- Chapter 14. Separation of nucleotides in aqueous systems -- Summary -- 14.1. Introduction -- 14.2. Separation using a thermometric detector -- 14.3. Separation using a conductivity detector (a.c. method) and a UV absorption detector (256 nm) -- Chapter 15. Enzymatic reactions -- Summary -- 15.1. Introduction. , 15.2. Enzymatic conversion of glucose (fructose) into glucose-6-phosphate (fructose-6-phosphate) with hexokinase from yeast -- 15.3. Enzymatic conversion of pyruvate into lactate with lactate dehydrogenase from pig heart -- References -- Chapter 16. Separations in non-aqueous systems -- Summary -- 16.1. Introduction -- 16.2. Separation of anionic species in methanol using a thermometric detector -- 16.3. Separation of cationic species in methanol using a thermometric detector -- 16.4. Experiments in aqueous methanolic systems using a conductimetric detector (a.c. method) and UV absorption detector (256 nm) -- Chapter 17. Counter flow of electrolyte -- Summary -- 17.1. lntroduction -- 17.2. Experimental -- 17.3. Conclusion -- References -- PART 4: APPENDICES -- Appendix A. Simplified model of moving-boundary electrophoresis for the measurement of effective mobilities -- A.1. Introduction -- A.2. Model of moving-boundary electrophoresis -- A.3. Procedure of computation -- A.4. Experimental -- A.5. Discussion -- References -- Appendix B. Diameter of the narrow-bore tube, applied for separation -- Appendix C. Literature -- Symbols and abbreviations -- Symbols -- Subscripts -- Superscripts -- Examples -- Abbreviations -- Subject index.
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 152-160 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schrödinger equation. Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 3094-3100 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: New properties on parabosonic and parafermionic Cusson's realizations of the Green's Anzätze are first obtained. Then paraproperties are shown to have a specific interest for our real world, where bosons and fermions have to be superposed if Nature is supersymmetric, these results being obtained on supersymmetric harmonic oscillators. In particular, from the Green–Cusson Ansätze, we construct a class of supersymmetric Hamiltonians that are more general than the ones issued from standard or spin–orbit coupling considerations. We explicitly consider the simplest (previously unknown) super-Hamiltonian constructed from paraproperties in quantum mechanics and establish its invariance Lie superalgebra.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 1513-1523 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Coherent states are constructed in p=2-parasupersymmetric quantum mechanics in connection with the two relative para-Bose and para-Fermi sets of trilinear structure relations. They are called parasupercoherent states. Parasupersymmetric operators [such as the Hamiltonian and (two) annihilation operators] are introduced and discussed. In particular, the parasuperspectrum is determined and compared with the recent results obtained by Rubakov and Spiridonov [Mod. Phys. Lett. A 3, 1337 (1988)]. The superalgebra contents subtended by osp(2/2) and osp(3/2) are analyzed and exploited in order to get constants of motion in both contexts through parallel properties on the supersymmetric harmonic oscillator.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1815-1821 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The spin-orbit coupling supersymmetrization procedure is considered in parasupersymmetric quantum mechanics describing oscillatorlike systems. The superposition of bosonic and parafermionic degrees of freedom is mainly studied in the cases of two and three spatial dimensions but the n-dimensional case is also determined. New Lie superalgebras and Lie parasuperalgebras are pointed out: They differ from those already obtained in connection with the standard procedure of supersymmetrization studied in Part I of this series [J. Beckers and N. Debergh, J. Math. Phys. (square, solid)(square, solid), (square, solid)(square, solid)(square, solid) (1991)].
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 2528-2534 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Nonlinear superequations, for which the general solution can be expressed algebraically in terms of a finite number of particular solutions, are obtained. They are based on the orthosymplectic supergroup OSP(m,2n) and its action on a homogeneous superspace. Superposition formulas are discussed for the cases m=1, n arbitrary, and m=2, n=1. For OSP(2,2) the number of particular solutions needed to reconstruct the general solution depends on the dimension of the underlying Grassmann algebra, whereas for OSP(1,2n) it does not.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 1732-1738 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Generalized coherent states for the one-dimensional harmonic oscillator with maximal symmetry, i.e., admitting the semidirect sum so(2,1) (D'Alembertian) h(2) as the largest invariance Lie algebra pointed out by Niederer are constructed. The normalization of such states as well as their completeness property are determined and discussed. They are also analyzed in the subcontexts of the so(2,1) algebra and of the Heisenberg h(2) algebra. General considerations on Heisenberg relations, on minimal dispersions, and on quantum mechanical entropies are presented in connection with the uncertainty principle.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 520-529 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Nonlinear equations with superposition formulas are obtained, corresponding to the action of the complex and real forms of the exceptional Lie group G2 on the homogeneous spaces G2/H. The isotropy group of the origin H is taken as one of the maximal parabolic subgroups of G2, or as one of the maximal reductive subgroups, leaving some vector space V∈C7 (or V∈R7) invariant. The parabolic subgroups, as well as the simple subgroups SL(3,C), SU(3), SL(3,R) or SU(2,1) lead to equations with quadratic or quartic nonlinearities. The semisimple subgroups SL(2,C)⊗SL(2,C), SU(2)⊗SU(2), and SU(1,1)⊗SU(1,1) lead to equations with quadratic nonlinearities and additional nonlinear constraints on the independent variables.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 1808-1814 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Parasupersymmetric quantum mechanics leads to the construction of new Lie structures that are called Lie parasuperalgebras. They are characterized by double commutation relations between even and odd generators and include as particular substructures the usual Lie superalgebras. Oscillatorlike systems in one spatial dimension are especially exploited in order to put such structures in evidence but n-dimensional extensions are easily determined. These developments in the standard supersymmetrization procedure will be considered first and the spin orbit coupling one will be considered in a subsequent article [J. Beckers and N. Debergh, J. Math. Phys. (square, solid)(square, solid), (square, solid)(square, solid)(square, solid) (1991)].
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 3387-3392 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Different choices of matrices characterizing p=2 parafermions are analyzed in connection with the description of relativistic spin-one particles through the Kemmer formulation. The free and interacting cases are considered and the relations between parasupersymmetry and Kemmer theory are enhanced as it is also the case between supersymmetry and Dirac theory. In that way the oscillatorlike context leads to the characterization of pararelativistic oscillators.
    Type of Medium: Electronic Resource
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