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Junker G. — Supersymmetric Methods in Quantum and Statistical Physics

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Название: Supersymmetric Methods in Quantum and Statistical Physics

Автор: Junker G.

Аннотация:

This book gives an introduction to supersymmetric quantum mechanics and a comprehensive review of its applications in quantum and statistical physics. The classical version and the quantum version of Witten's model are studied in detail. Exact spectral properties of the model for the so-called shape invariant potentials are discussed. The quasi-classical quantization rules are derived. The topics covered also include the supersymmetric structure of a classical stochastic dynamical system obeying the Langevin or the Fokker-Planck equation, Pauli's Hamiltonian and its application to the paragmagnetism of a non-interacting electron gas in two and three dimensions, supersymmetry of Dirac's Hamiltonian, and others. The book addresses graduate students as well as scientists.

Язык:

Рубрика: Математика/Математическая Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1

Год издания: 1996

Количество страниц: 172

Добавлена в каталог: 24.04.2005

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Предметный указатель

Kleinert, H.      50
Kochetov, e.a.      123
Koleci, c.k.      76 81
Korepin, V.E.      109 124
Kosinski, p.      58
Kostelecky, v.a.      4 123 124
Kovacs, e.      58 102 104 123
Kramers, H.A.      104
Kramers, m.a.      69
Krieger, J.B.      75 80
Krive, i.v.      5 110 123
Kulshreshtha, d.s.      123
Kumar, c.n.      123
Kuratsuji, h.      50
Lagrangian gauge-equivalent      39 41
Lagrangian pseudoclassical      37
Lagrangian quasi-classical      41 98
Lagrangian standard      67
Lagrangian supersymmetric      38
Lahiri, A.      5
Landau level      114
Langer modification      75 80
Langevin equation      93
Langevin, P.      93
Langouche, f.      50
Laplace transformation      67
Lasenby, a.      37 123
Lawson, h.b., jr.      49
Lee, M.H.      115
Leiber, th.      97 124
Leschke, H.      34 50 94
Lesniewski, A.      15 18 28
Levai, g.      64
Levitan, B.M.      58
Lewenstein, m.      15 18 28
Liang, j.-q.      123
Lie algebra      2
Likhtam, e.p.      3
Links, j.r.      109 124
Loop correction      22 29 52 71
Lopuszanski, j.t.      3
Luban, M.      58
Lusanna, l.      37
Lutsenko, i.v.      34
MacDonald, A.H.      109 124
Macfarlane, a.j.      123
Magnetic field      9 110 114 117
Magnetic flux      111
magnetization      112—114 116
Magnus, W.      56
Maheshwari, A.      50
Mandula, J.      2
Manes, J.      18
Marchesoni, f.      97 104 124
Marinov, m.s.      37
Martin, A.      86 123
Maslanka, p.      58
Maslov index      69 74 76
Mass      9
Matthiesen, s.      39 41 42 46 47 48 76 81
Maxwell, c.j.      75
Melezhik, v.v.      123
Mermin, N.D.      116
Metastable potential      106
Method of stationary phase      68
Michelsohn m.-l.      49
Miller, w., jr.      64
Misra, s.p.      39
Miyazawa, H.      3
Mizrachi, l.      58
Monthus c.      124
Morette, c.      68
Morse index      69
Morse oscillator      75
Morse, P.M.      106
Moses, H.E.      58
Muller, P.      34
Muller-kirsten, h.j.w.      123
Murah, n.r.      76
Murayama, Y.      79
Musto, r.      120
Nakahara, M.      18
Nelson, b.      50
Nelson, E.      50
Nicolai definition      98
Nicolai map      42 81
Nicolai, h.      4 7 11 12 39 41 42 47 109 124
Niemi, a.j.      18
Nieto, M.M.      106 123 124
Nimtz, G.      119
Noether theorem      1
Noether, E.      1
Noise      94
Noise colored      94 97
Noise white      94 97
Oberhettinger, F.      56
Olshanetsky, m.a.      64
Pagnamenta, a.      64
Pakhomov, s.v.      109 120 124
Panigrahi, p.k.      32 58
Pankratov, o.a.      109 120 124
Paramagnetic conjecture      116—117
Paramagnetic susceptibility      114 116
Paramagnetic susceptibility zero-field      115
Parameter mapping      60
Parameter set      60
Parisi, G.      93
Partner hamiltonian      see “susy partner hamiltonian”
Partner potential      see “susy partner potential”
path integral      49 67—73
Path integral fermionic      50 99
Path integral gaussian      50 68 71 98
Path integral wiener-type      98 99
Patodi, V.K.      18
Patrascioiu, a.      47 50 58
Pauli hamiltonian      9—10 109—112
Pauli matrices      3
Pauli paramagnetism      112—117
Pauli principle      113
Perelomov, A.M.      64
Period of classical motion      70
Pertubation method      58
Perturbation expansion      104
Perturbative approach      104
Pietronero,      124
Pittner, l.      15
Planck constant      9
Planck, M.      94
Pogosyan, g.s.      34
Poisson bracket      48
Poschl — teller oscillator      65
Poschl — teller oscillator modified      33
Poschl — teller oscillator non-symmetric      35
Poschl — teller oscillator symmetric      34
Projector      14
Pseudoclassical mechanics      37
Pseudoclassical solution      40
Pursey, d.l.      58
Qc-susy approximation      see “quasi-classical susy approximation”
Quantization canonical      47
Quantization path integral      49
Quasi-classical approximation      71
Quasi-classical eigenfunctions      78—79
Quasi-classical path      see “quasi-classical solution
Quasi-classical path classification      72
Quasi-classical quantization condition      73—77
Quasi-classical solution      40 42 71
Quasi-classical susy approximation      76 84 105 107
Quasi-classical susy formula      77 80 82
Raab, r.e.      5 63

Raghunathan, k.      75
Reed, M.      21 33
Reflectionless potential      31
Reinicke, p.      124
Relative error      84
Rembielinski, j.      58
Reparameterization invariance additional      65
Residual term      60
Resolvent kernel      67
Reuter, m.      58 123
Rey, s.-j.      109 124
Reyes, m.      124
Riccati equation      54 56
Richtmyer, R.D.      21 32
Risken, H.      93 97 104 124
Rittenberg, V.      9 12 53
Rivero, a.      123
Rodrigues, j.p.      32 56
Roekaerts, D.      50 98
Roepstorff, G.      50
Rogers, A.      124
Rosen — morse potential non-symmetric      106
Rosen — morse potential symmetric      31
Rosen, N.      106
Rosenzweig, c.      75 80
Rosu, h.c.      124
Roy, B.      61 123
Roy, P.      61 64 123
Roy, p.k.      5
Roychoudhury, r.      61 123
Salam, A.      39
Salomonson, p.      13 58 98 123
Scaling property      84
Scheunert, M.      3
Schlicht, b.      119
Schmincke, u.      16
Schmitt, h.a.      123
Schmutz, M.      50 86 123
Schoutens, k.      109 124
Schrader, R.      116
Schrodinger equation imaginary-time      95
Schrodinger, E.      63
Schrodinger-like equation      54
Schulman, L.S.      44 50 68 69
Schwabl, f.      5
Schwarz, A.      123
Schweiger, w.      18
Second-class constraint      47
Seetharaman, m.      75
Seiberg, N.      5
Seiler, R.      116
Self-adjoint ladder operator      63
Semi-classical approximation      see “wkb approximation” 71
Sen, d.      123
Sethna, j.r      109 124
Shape-invariance      58—61 63
Shape-invariance definition      60
Shape-invariant potentials      66 75 105 120
Shape-invariant potentials classification scheme      64
Shapir, y.      124
Shastry, B.S.      123
Shifman, M.A.      32 56
Sign function      28
Simon, B.      5 14 15 18 21 33 111 116 123
Singer, I.M.      18
Singh, l.r      98
Sissakian, a.n.      34
Skagerstam, B.S.      98
Smilga, a.v.      32 56
Smoluchowski, m., von      93
Sodano, p.      104
Sohnius, m.      3
Soni, R.P.      56
Sourlas, N.      93
Space-parity operator      28 110
Sparenberg, j.-m.      58
speed of light      9
Spin      9 109
State negative      15
State positive      15
State susy transformed      10
Stationary distribution      102
Stedman, g.e.      120 124
Steiner, F.      98
Strathdee, J.      39
Stratonovich interpretation      98 99
Subspace bosonic      13
Subspace fermionic      13
Subspace negative definition      14
Subspace positive definition      14
Sukhatme, u.p.      32 53 54 55 58 63 64 79 81 102 104 120 123
Sukumar, c.v.      53 54 55 58 63 120 123
Suparmi, a.      65 76 77 81
Superalgebra      3 7 12 19 24 63 111
Superalgebra classical      49
Superalgebra formal      56 107
Supercharge      3
Supercharge classical      41
Supercharge complex      7 12 22 111 112
Supercharge self-adjoint      7 9 11 109 118
Supercharge witten model      10 21 24
Superpotential      10 23—25 97
Superspace      39
Supersymmetric classical mechanics      37—46
Supersymmetric quantum mechanics      7—19
Supersymmetric quantum mechanics definition      7
Supersymmetrization      39 53—58
Supersymmetry      4
Supersymmetry broken      4 16 27—29 46 75 79 105—107
Supersymmetry broken classical level      45
Supersymmetry broken definition      8
Supersymmetry extended      7
Supersymmetry good      4 16 27—29 45 74 78 101—105
Supersymmetry good classical level      45
Supersymmetry good definition      8
SUSY      see “supersymmetry”
Susy hamiltonian      7 11 14 22
Susy hamiltonian witten model      10
Susy partner hamiltonian      14 22 24 25 28 54 55 58 71
Susy partner hamiltonian witten model      52
Susy partner potential      60
Susy potential      10 21 23—27 97
Susy potential asymptotic behavior      25—27
Susy potential even parity      29
Susy potential exponential-type      85
Susy potential natural units      71 74
Susy potential odd parity      29
Susy potential power      81
Susy potential shape-invariant family of      61
Susy potential singular      32 56 81
Susy potential zeros of      28 56
Susy transformation      3 15—16 22—23 60 100 102
Susy transformation between $\mathcal{h}^{+} and \mathcal{h}^{-}$       16
Susy transformation classical      39 41
Susy transformation for energy eigenstates      15
Susy transformation witten model      23
Sutherland, B.      123
Symmetry      1
Symmetry dynamical      64
Symmetry external      2
Symmetry internal      2
Talkner, P.      107
Tarach, r.      123
Teitelboim, C.      47
Ter-antonyan, v.m.      34
Thacker, w.d.      58 123
Thaller, b.      5 15 16 18 31 117 118 123
Thompson, G.      123
Time-evolution operator      49 67
Tirapegui, E.      50

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