St-Petersburg State University Research Institute of Physics Faculty of Physics High Energy and Elementary Particles Physics
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Mikhail V. Ioffe
Ioffe Mikhail Vul'fovich

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians" (arXiv:0902.1837) In press;

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Two-dimensional Schrodinger Hamiltonians with Effective Mass in SUSY Approach" (arXiv:0712.4262) Ann.Phys., 323 (2008) p.2624-2632;

M.V.Iofe, D.N.Nishnianidze."Exact Solvability of Two-Dimensional Real Singular Morse Potential" (arXiv:0709.2960) Phys.Rev.A, 76 (2007) 052114 (5 p.p.);

M.V.Ioffe, J.Mateos Guilarte, P.A.Valinevich. "A Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials" (arXiv:0706.1344) Nucl.Phys.B, 790 (2008) p.414-431;

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Pseudo-hermiticity of an exactly solvable two-dimensional model" (arXiv:0704.2219) Phys.Lett.A, 369 (2007) p.9-15;

A.Ganguly, M.V.Ioffe, L.M.Nieto. "A New effective mass Hamiltonian and associated Lame equation: Bound states" (arXiv:quant-ph/0610248) J.Phys.A:Math.Gen., 39 (2006) p.14659-14680;

M.V.Ioffe, J.Negro, L.M.Nieto, D.N. Nishnianidze. "New Two-Dimensional Integrable Quantum Models from SUSY Intertwining" (arXiv:hep-th/0606103) J.Phys.A:Math.Gen., 39 (2006) p.9297-9308;

M.V.Ioffe, S.Kuru, J.Negro, L.M.Nieto. "SUSY approach to Pauli Hamiltonians with an axial symmetry" (arXiv:hep-th/0603005) J.Phys.A:Math.Gen., A39 (2006) p.6987-7001;

M.V.Ioffe, J.Mateos Guilarte, P.A.Valinevich. "Two-dimensional supersymmetry: From SUSY quantum mechanics to integrable classical models" (arXiv:hep-th/0603006) Ann.Phys., 321 (2006) p.2552-2565;

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Exactly solvable two-dimensional complex model with real spectrum" (arXiv:hep-th/0512110) Theor.Math.Phys., 148 (2006) p.960-967; Teor.Mat.Fiz.,148 (2006) p.102-111;

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Double shape invariance of two-dimensional singular Morse model" (arXiv:hep-th/0504077) Phys.Lett., A340 (2005) p.31-36;

M.V.Ioffe, P.A.Valinevich. "New two-dimensional quantum models partially solvable by supersymmetrical approach" (arXiv:hep-th/0409153) J.Phys.A:Math.Gen., 38 (2005) p.2497-2510;

F.Cannata, M.V.Ioffe, A.I.Neelov, D.N.Nishnianidze. "Higher order matrix SUSY transformations in two-dimensional quantum mechanics" (arXiv:hep-th/0405108) J.Phys.A:Math.Gen., 37 (2004) p.10339-10348;

M.V.Ioffe. "SUSY-approach for investigation of two-dimensional quantum mechanical systems" (arXiv:hep-th/0405241) J.Phys.A:Math.Gen., 37 (2004) p.10363-10374;

M.V.Ioffe, D.N.Nishnianidze. "SUSY intertwining relations of third order in derivatives" (arXiv:hep-th/0404078) Phys.Lett., A327 (2004) p.425-432;

M.V.Ioffe, A.I.Neelov. "Pauli equation and the method of supersymmetric factorization" (arXiv:hep-th/0302004) J.Phys. A: Math.Gen., 36 (2003) p.2493-2506;

M.V.Ioffe, H.Korsch. "Nonlinear supersymmetric (Darboux) covariance of the Ermakov-Milne-Pinney equation" (arXiv:math-ph/0209013) Phys.Lett. A, 311 (2003) p.200-205;

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Two-dimensional SUSY-psedo-hermiticity without separation of variables" (arXiv:hep-th/0302003) Phys.Lett. A, 310 (2003) p.344-352;

M.V.Ioffe, A.I.Neelov. "Intertwining relations for the matrix Calogero-like models: supersymmetry and shape-invariance" (arXiv:hep-th/0209110) J.Phys. A: Math.Gen., 35 (2002) p.7613-7628;

F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "New methods for two-dimensional Schroedinger equation: SUSY-separation of variables and shape-invariance" (arXiv:hep-th/0201080) J.Phys. A: Math.Gen., 35 (2002) p.1389-1404;

F.Cannata, M.V.Ioffe. "Exactly solvable three-body systems with internal degrees of freedom" (arXiv:quant-ph/0012117) J.Phys. A: Math.Gen., 34 (2001) p.1129-1140;

F.Cannata, M.V.Ioffe, R.Roychoudhury, P.Roy. "A new class of PT-symmetric Hamiltonians with real spectra" (arXiv:quant-ph/0011089) Phys.Lett. A, 281 (2001) p.305-310;

A.A.Andrianov, F.Cannata, M.V.Ioffe, D.N.Nishnianidze. "Systems with higher-order shape-invariance: spectral and algebraic properties" (arXiv:quant-ph/9902057) Phys.Lett. A, 266 (2000) p.341-349;

M.V.Ioffe, A.I.Neelov. "Multiparticle SUSY Quantum Mechanics and representations of permutation group" (arXiv:quant-ph/0001063) J.Phys. A: Math.Gen., 332 (2000) p.1581-1595;

F.Cannata, M.V.Ioffe, G.Junker, D.N.Nishnianidze. "Intertwining relations of non-stationary Schroedinger operators" (arXiv:quant-ph/9810033) J.Phys. A: Math.Gen., 32 (1999) p.3583-3598;

A.A.Andrianov, M.V. Ioffe, D. N. Nishnianidze. "Classical Integrable 2-dim Models inspired by SUSY Quantum Mechanics" (arXiv:solv-int/9810006) J.Phys. A: Math.Gen., 32 (1999) p.4641-4654;

A.A.Andrianov, F.Cannata, J.P.Dedonder, M.V.Ioffe, ``SUSY Quantum Mechanics with complex superpotentials and real energy spectra" (arXiv:quant-ph/9806019) Int. J. Mod. Phys., 17A (1999) p.2675-2688;

A.A.Andrianov, M.V. Ioffe, D.N.Nishnianidze. "Construction of classical integrable 2-dim models by the methods of SUSY Quantum Mechanics", Issues in QFT and Statistical Physics, {\bf 15} (Eds. A.G.Izergin and P.P.Kulish), Zap. Nauch. Sem. POMI (Proceedings of Steklov Math.Inst.-POMI)(1998) 13p.

A.A.Andrianov, F.Cannata, M.V.Ioffe, D.N.Nishnianidze. ``Matrix hamiltonians: SUSY approach to hidden symmetries" (arXiv:quant-ph/9707004) J.Phys. A: Math. Gen., 30 (1997) p.5037-5050.

A.A.Andrianov, F.Cannata, J.P.Dedonder and M.V.Ioffe. "Deformed Supersymmetry, q-Oscillator Algebra and Related Scattering Problems in Quantum Mechanics" Issues in QFT and Statistical Physics, 14 (Eds. A.G.Izergin and P.P.Kulish), Zap. Nauch. Sem. POMI (Proceedings of Steklov Math.Inst.-POMI), 245 (1997) p.22-48;

A.A.Andrianov, M.V.Ioffe, D.N.Nishnianidze. "Higher Order SUSY in Quantum Mechanics and Integrability of Two-dimensional Hamiltonians" (arXiv:solv-int/9605007);

A.A.Andrianov, F.Cannata, J.P.Dedonder, M.V.Ioffe. "Local realizations of q-oscillators in Quantum Mechanics" (arXiv:hep-th/9604145) Phys. Lett. A, 217 (1996) p.7-9;

A.A.Andrianov, F.Cannata, M.V.Ioffe. " Contraction of Higher-Order Derivative SUSY Algebras in Quantum Mechanics with Large Energy Gap" (arXiv:hep-th/9405051) Mod. Phys. Lett. A, 11 (1996) p.1417-1428;

A.A.Andrianov, M.V. Ioffe, D. N. Nishnianidze. "Polynomial SUSY and dynamical symmetries in Quantum Mechanics" Theor.Math.Phys. 104 (1995) p.1129-1140 (Russ.p.463-478);

A.A.Andrianov, M.V.Ioffe, F.Cannata, J.-P.Dedonder, "Second order derivative supersymmetry, q deformations and scattering problem" (arXiv:hep-th/9404061) Int. J. Mod. Phys. A, 10 (1995) p.2683-2702;

A.A.Andrianov, M.V.Ioffe, D.N.Nishnianidze. "Polynomial SUSY in quantum mechanics and second derivative Darboux transformations" (arXiv:hep-th/9404120) Phys. Lett. A, 201 (1995) p.103-110;

A.A.Andrianov, M.V.Ioffe and D.N.Nishnianidze. "Higher order SUSY in Quantum Mechanics and integrability of 2-dimensional Hamiltonians", Issues in QFT and Statistical Physics, 13 (Eds. L.D.Faddeev, A.G.Izergin and P.P.Kulish), Zap. Nauch. Sem. POMI (Proceedings of Steklov Math.Inst.-POMI) 224 (1995) p.68-80;

A.A.Andrianov, M.V.Ioffe, V.P.Spiridonov. "Higher-derivative supersymmetry and the Witten index" (arXiv:hep-th/9303005) Phys. Lett. A, 174 (1993) p.273 - 279;

A.A.Andrianov, M.V.Ioffe, V.P.Spiridonov, L.Vinet. "Parasupersymmetry and truncated supersymmetry in quantum mechanics" Phys.Lett., B272 (1991) p.297-304;

A.A.Andrianov, M.V.Ioffe. "From supersymmetric quantum mechanics to the parasupersymmetric one" Phys.Lett., B255 (1991) p.543-548;

A.A.Andrianov, M.V.Ioffe, Tsu-Zhung-Pin. "The factorization method in curvilinear coordinates and level pairing for matrix potentials" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(25) (1988) p.3-9;

A.A.Andrianov, N.V.Borisov, M.V.Ioffe. "Scattering theory for supersymmetric hamiltonians and supersymmetry of nuclear interactions" Theor.Math.Phys., 72 (1987) p.748-758;

A.A.Andrianov, N.V.Borisov, M.V.Ioffe. "Non-stationary approach to scattering theory for supersymmetric hamiltonians in quantum mechanics and supersymmetry of nuclear interactions" Phys.Lett., B181 (1986) p.141-144;

A.A.Andrianov, N.V.Borisov, M.I.Eides, M.V.Ioffe. "Supersymmetric origin of equivalent quantum systems" Phys.Lett., A109 (1985) p.143-148;

A.A.Andrianov, N.V.Borisov, M.V.Ioffe. "Factorization method and the Darboux transformation for multidimensional hamiltonians" Theor.Math.Phys., 61 (1984) p.1078-1088;

A.A.Andrianov, N.V.Borisov, M.I.Eides, M.V.Ioffe. "Supersymmetric mechanics: a new look at the equivalence of quantum systems" Theor.Math.Phys., 61 (1984) p.965-972;

A.A.Andrianov, N.V.Borisov, M.V.Ioffe. "The factorization method and quantum systems with equivalent energy spectra" Phys.Lett., A105 (1984) p.19-22;

A.A.Andrianov, N.V.Borisov, M.V.Ioffe. "Quantum systems with equivalent energy spectra" Sov.JETP Lett.(Pis'ma ZhETF) 39 (1984) p.93-97;

N.V.Borisov, M.I.Eides, M.V.Ioffe. "String model of hadrons and QCD" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(22) (1981) p.87-92;

N.V.Borisov, M.V.Ioffe, N.A.Liskova, M.I.Eides. "Off-mass-shell amplitudes in dual string model" Sov.J.Nucl.Phys., 33 (1981) p.1626-1638;

N.V.Borisov, M.V.Ioffe, N.A.Liskova, M.I.Eides. "Local currents in the model of spinning strings" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(3) (1980) p.105-108;

N.V.Borisov, M.V.Ioffe, S.A.Prigojin, M.I.Eides. "Investigation of perturbation theory in the string field theory" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(10) (1980) p.6-12;

N.V.Borisov, M.I.Eides, M.V.Ioffe, "String interaction in Quantum Chromodynaics" Phys.Lett. B, 87 (1979) p.101-105;

N.V.Borisov, M.V.Ioffe, M.I.Eides. "String interaction in Quantum Chromodynamics" Sov.JETP Lett.(Pis'ma ZhETF) 29 (1979) p.506-510;

N.V.Borisov, M.V.Ioffe, M.I.Eides. "Dual strings from QCD" Sov.J.Nucl.Phys. 29 (1979) p.1421-1423;

N.V.Borisov, M.V.Ioffe. "Existence of the gauge equivalent field in the instanton vicinity" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(16) (1979) p.103-105;

N.V.Borisov, M.V.Ioffe. "On ambiguity of gauge conditions in instanton vicinity" Sov.J.Nucl.Phys. 29 (1979) p.805-813;

N.V.Borisov, M.V.Ioffe, M.I.Eides. "Second quantization of field systems on Grassmann algebra (Dual string with intrinsic spin)" Theor.Math.Phys., 29 (1976) p.25-42;

N.V.Borisov, M.V.Ioffe, M.I.Eides. "Field model of interaction of dual strings with internal spin" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(16) (1976) p.11-24;

N.V.Borisov, M.V.Ioffe, M.I.Eides. "Field theory of interacting dual strings" Sov.J.Nucl.Phys. 21 (1975) p.655-661;

M.V.Ioffe, Yu.V.Novozhilov, E.V.Prokhvatilov. "Description of resonances in dual models" Probl. of Theor.Phys. (Ed.M.G.Veselov)(1975) LGU, p.88-97;

M.V.Ioffe, S.N.Manida. "Spin states in dual models with fermions" Theor.Math.Phys., 16 (1973) p.224-231;

M.V.Ioffe, Yu.V.Novozhilov, E.V.Prokhvatilov. "Investigation of the norm of spinning states in dual models" Theor.Math.Phys., 15 (1973) p.237-244;

M.V.Ioffe. "Introducing of compensating fields in dual theory" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(22) (1972) p.152-154;

M.V.Ioffe, Yu.V.Novozhilov, E.V.Prokhvatilov. "Construction of spinning states in dual models" (in Russian) Vestn.Leningrad Univ., Fiz.4, v.4(22) (1972) p.24-31;

M.V.Ioffe. "Formfactors for lepton decays of barions" (in Russian) Sov.J.Nucl.Phys., 10 (1969) p.144-147.

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March 2009