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Quantum mechanics : an introduction to the physical background and mathematical structure / / Gregory L. Naber
| Quantum mechanics : an introduction to the physical background and mathematical structure / / Gregory L. Naber |
| Autore | Naber Gregory L. <1948-> |
| Pubbl/distr/stampa | Berlin : , : Walter de Gruyter GmbH, , [2021] |
| Descrizione fisica | 1 online resource (570 pages) |
| Disciplina | 530.12 |
| Collana | De Gruyter Textbook |
| Soggetto topico |
Quantum theory - Mathematics
Quantum theory - Data processing |
| Soggetto non controllato |
Feynman integral
Harmonic oscillator, Heisenberg algebra Quantum mechanics Supersymmetry |
| ISBN | 3-11-075194-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 The classical harmonic oscillator -- 2 Lagrangian and Hamiltonian mechanics -- 3 The formalism of quantum mechanics: motivation -- 4 Physical background -- 5 Synopsis of self-adjoint operators, spectral theory and Stone’s theorem -- 6 The postulates of quantum mechanics -- 7 Canonical quantization -- 8 Path integral quantization -- 9 Sketches of some rigorous results -- 10 Fermionic and supersymmetric harmonic oscillators -- A Gaussian integrals -- B Morse lemma -- C Stationary phase approximation -- D Tangent and cotangent bundles -- E Poisson and wave equations -- F Carathéodory procedure -- G Schwartz space, Fourier transform, distributions and Sobolev spaces -- H Stieltjes integrals -- I Unitary representations and Schur’s lemma -- J Semigroups of operators -- K Hilbert space tensor products -- Bibliography -- Index |
| Record Nr. | UNINA-9910554230103321 |
Naber Gregory L. <1948->
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| Berlin : , : Walter de Gruyter GmbH, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum mechanics and quantum field theory : a mathematical primer / / Jonathan Dimock [[electronic resource]]
| Quantum mechanics and quantum field theory : a mathematical primer / / Jonathan Dimock [[electronic resource]] |
| Autore | Dimock Jonathan <1945-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (xi, 226 pages) : digital, PDF file(s) |
| Disciplina | 530.12 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN |
1-107-22121-8
1-107-38670-5 1-283-01738-5 9786613017383 0-511-79334-0 1-139-00981-8 1-139-01033-6 1-139-00818-8 1-139-00707-6 1-139-00928-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Non-relativistic: 1. Mathematical prelude; 2. Classical mechanics; 3. Quantum mechanics; 4. Single particle; 5. Many particles; 6. Statistical mechanics -- Part II. Relativistic: 7. Relativity; 8. Scalar particles and fields; 9. Electrons and photons; 10. Field theory on a manifold -- Part III. Probabilistic Methods: 11. Path integrals; 12. Fields as random variables 13. A nonlinear field theory -- Appendix A. Normed spaces -- Appendix B. Tesor product -- Appendix C. Distributions. |
| Altri titoli varianti | Quantum Mechanics & Quantum Field Theory |
| Record Nr. | UNINA-9910458967203321 |
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Dimock Jonathan <1945->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum mechanics and quantum field theory : a mathematical primer / / Jonathan Dimock [[electronic resource]]
| Quantum mechanics and quantum field theory : a mathematical primer / / Jonathan Dimock [[electronic resource]] |
| Autore | Dimock Jonathan <1945-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (xi, 226 pages) : digital, PDF file(s) |
| Disciplina | 530.12 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN |
1-107-22121-8
1-107-38670-5 1-283-01738-5 9786613017383 0-511-79334-0 1-139-00981-8 1-139-01033-6 1-139-00818-8 1-139-00707-6 1-139-00928-1 |
| Classificazione | SCI040000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Non-relativistic: 1. Mathematical prelude; 2. Classical mechanics; 3. Quantum mechanics; 4. Single particle; 5. Many particles; 6. Statistical mechanics -- Part II. Relativistic: 7. Relativity; 8. Scalar particles and fields; 9. Electrons and photons; 10. Field theory on a manifold -- Part III. Probabilistic Methods: 11. Path integrals; 12. Fields as random variables 13. A nonlinear field theory -- Appendix A. Normed spaces -- Appendix B. Tesor product -- Appendix C. Distributions. |
| Altri titoli varianti | Quantum Mechanics & Quantum Field Theory |
| Record Nr. | UNINA-9910791784503321 |
|
Dimock Jonathan <1945->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum mechanics and quantum field theory : a mathematical primer / / Jonathan Dimock [[electronic resource]]
| Quantum mechanics and quantum field theory : a mathematical primer / / Jonathan Dimock [[electronic resource]] |
| Autore | Dimock Jonathan <1945-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2011 |
| Descrizione fisica | 1 online resource (xi, 226 pages) : digital, PDF file(s) |
| Disciplina | 530.12 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN |
1-107-22121-8
1-107-38670-5 1-283-01738-5 9786613017383 0-511-79334-0 1-139-00981-8 1-139-01033-6 1-139-00818-8 1-139-00707-6 1-139-00928-1 |
| Classificazione | SCI040000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I. Non-relativistic: 1. Mathematical prelude; 2. Classical mechanics; 3. Quantum mechanics; 4. Single particle; 5. Many particles; 6. Statistical mechanics -- Part II. Relativistic: 7. Relativity; 8. Scalar particles and fields; 9. Electrons and photons; 10. Field theory on a manifold -- Part III. Probabilistic Methods: 11. Path integrals; 12. Fields as random variables 13. A nonlinear field theory -- Appendix A. Normed spaces -- Appendix B. Tesor product -- Appendix C. Distributions. |
| Altri titoli varianti | Quantum Mechanics & Quantum Field Theory |
| Record Nr. | UNINA-9910826855703321 |
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Dimock Jonathan <1945->
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| Cambridge : , : Cambridge University Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum methods with MATHEMATICA / James M. Feagin
| Quantum methods with MATHEMATICA / James M. Feagin |
| Autore | Feagin, James M. |
| Pubbl/distr/stampa | New York : Springer-Verlag ; Santa Clara, CA : Telos, c1994 |
| Descrizione fisica | xix, 482 p. : ill. ; 24 cm |
| Disciplina | 530.12 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN | 0387953655 |
| Classificazione |
53.1.4
LC QC174.17.M35F4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000706349707536 |
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Feagin, James M.
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| New York : Springer-Verlag ; Santa Clara, CA : Telos, c1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The quantum nature of things : how counting leads to the quantum world / / Terry Robinson
| The quantum nature of things : how counting leads to the quantum world / / Terry Robinson |
| Autore | --------d--------kmuy0itay5050----ba |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Boca Raton : , : CRC Press, , 2023 |
| Descrizione fisica | pages cm |
| Disciplina | 530.12 |
| Soggetto topico |
Quantum theory
Quantum theory - Mathematics |
| ISBN |
9781032446233
9781032455464 9781003377504 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910757101203321 |
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--------d--------kmuy0itay5050----ba
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| Boca Raton : , : CRC Press, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum Studies : mathematics and foundations
| Quantum Studies : mathematics and foundations |
| Pubbl/distr/stampa | Basel, Switzerland : , : Springer International Publishing, , [2014]- |
| Descrizione fisica | 1 online resource |
| Soggetto topico |
Quantum theory
Quantum theory - Mathematics Mathematical physics |
| Soggetto genere / forma |
Periodicals.
Zeitschrift |
| ISSN | 2196-5617 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
Quantum Studies, mathematics and foundations
Mathematics and foundations |
| Record Nr. | UNINA-9910307958403321 |
| Basel, Switzerland : , : Springer International Publishing, , [2014]- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Quantum Studies : mathematics and foundations
| Quantum Studies : mathematics and foundations |
| Pubbl/distr/stampa | Basel, Switzerland : , : Springer International Publishing, , [2014]- |
| Descrizione fisica | 1 online resource |
| Soggetto topico |
Quantum theory
Quantum theory - Mathematics Mathematical physics |
| Soggetto genere / forma |
Periodicals.
Zeitschrift |
| ISSN | 2196-5617 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
Quantum Studies, mathematics and foundations
Mathematics and foundations |
| Record Nr. | UNISA-996208250603316 |
| Basel, Switzerland : , : Springer International Publishing, , [2014]- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Quantum theory for mathematicians / Brian C. Hall
| Quantum theory for mathematicians / Brian C. Hall |
| Autore | Hall, Brian C., author |
| Descrizione fisica | xvi, 554 p. : ill. ; 24 cm |
| Disciplina | 530.15 |
| Collana |
Graduate texts in mathematics ; 267
Graduate texts in mathematics, 0072-5285 ; 267 |
| Soggetto topico | Quantum theory - Mathematics |
| ISBN | 9781489993625 |
| Classificazione |
AMS 81-02
AMS 46N50 LC QC174.12.H346 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The experimental origins of quantum mechanics: Is light a wave or a particle? ; Is an electron a wave or a particle? ; SchroÌ̂dinger and Heisenberg ; A matter of interpretation ; Exercises -- A first approach to classical mechanics: Motion in R¹ ; Motion in R[superscript n] ; Systems of particles ; Angular momentum ; Poisson brackets and Hamiltonian mechanics ; The Kepler problem and the Runge-Lenz vector ; Exercises -- First approach to quantum mechanics: Waves, particles, and probabilities ; A few words about operators and their adjoints ; Position and the position operator ; Momentum and the momentum operator ; The position and momentum operators ; Axioms of quantum mechanics : operators and measurements ; Time-evolution in quantum theory ; The Heisenberg picture ; Example : a particle in a box ; Quantum mechanics for a particle in R [superscript n] ; Systems of multiple particles ; Physics notation ; Exercises -- The free SchroÌ̂dinger equation: Solution by means of the Fourier transform ; Solution as a convolution ; Propagation of the wave packet : first approach ; Propagation of the wave packet : second approach ; Spread of the wave packet ; Exercises -- Particle in a square well: The time-independent SchroÌ̂dinger equation ; Domain questions and the matching conditions ; Finding square-integrable solutions ; Tunneling and the classically forbidden region ; Discrete and continuous spectrum ; Exercises -- Perspectives on the spectral theorem: The difficulties with the infinite-dimensional case ; The goals of spectral theory ; A guide to reading ; The position operator ; Multiplication operators ; The momentum operator -- The spectral theorem for bounded self-adjoint operators : statements: Elementary properties of bounded operators ; Spectral theorem for bounded self-adjoint operators, I ; Spectral theorem for bounded self-adjoint operators, II ; Exercises -- The spectral theorem for bounded self-adjoint operators : proofs: Proof of the spectral theorem, first version ; Proof of the spectral theorem, second version ; Exercises -- Unbounded self-adjoint operators: Introduction ; Adjoint and closure of an unbounded operator ; Elementary properties of adjoints and closed operators ; The spectrum of an unbounded operator ; Conditions for self-adjointness and essential self-adjointness ; A counterexample ; An example ; The basic operators of quantum mechanics ; Sums of self-adjoint operators ; Another counterexample ; Exercises -- The spectral theorem for unbounded self-adjoint operators: Statements of the spectral theorem ; Stone's theorem and one-parameter unitary groups ; The spectral theorem for bounded normal operators ; Proof of the spectral theorem for unbounded self-adjoint operators ; Exercises -- The harmonic oscillator: The role of the harmonic oscillator ; The algebraic approach ; The analytic approach ; Domain conditions and completeness ; Exercises -- The uncertainty principle: Uncertainty principle, first version ; A counterexample ; Uncertainty principle, second version ; Minimum uncertainty states ; Exercises -- Quantization schemes for Euclidean space: Ordering ambiguities ; Some common quantization schemes ; The Weyl quantization for R²[superscript n] ; The "No go" theorem of Groenewold ; Exercises -- The Stone-Von Neumann theorem: A heuristic argument ; The exponentiated commutation relations ; The theorem ; The Segal-Bargmann space ; Exercises -- The WKB approximation: Introduction ; The old quantum theory and the Bohr-Sommerfeld condition ; Classical and semiclassical approximations ; The WKB approximation away from the turning points ; The Airy function and the connection formulas ; A rigorous error estimate ; Other approaches ; Exercises -- Lie groups, Lie algebras, and representations: Summary ; Matrix Lie groups ; Lie algebras ; The matrix exponential ; The Lie algebra of a matrix Lie group ; Relationships between Lie groups and Lie algebras ; Finite-dimensional representations of Lie groups and Lie algebras ; New representations from old ; Infinite-dimensional unitary representations ; Exercises -- Angular momentum and spin: The role of angular momentum in quantum mechanics ; The angular momentum operators in R³ ; Angular momentum from the Lie algebra point of view ; The irreducible representations of so(3) ; The irreducible representations of SO(3) ; Realizing the representations inside L²(S²) -- Realizing the representations inside L²(M³) ; Spin ; Tensor products of representations : "addition of angular momentum" ; Vectors and vector operators ; Exercises -- Radial potentials and the hydrogen atom: Radial potentials ; The hydrogen atom : preliminaries ; The bound states of the hydrogen atom ; The Runge-Lenz vector in the quantum Kepler problem ; The role of spin ; Runge-Lenz calculations ; Exercises -- Systems and subsystems, multiple particles: Introduction ; Trace-class and Hilbert-Schmidt operators ; Density matrices : the general notion of the state of a quantum system ; Modified axioms for quantum mechanics ; Composite systems and the tensor product ; Multiple particles : bosons and fermions ; "Statistics" and the Pauli exclusion principle ; Exercises -- The path integral formulation of quantum mechanics: Trotter product formula ; Formal derivation of the Feynman path integral ; The imaginary-time calculation ; The Wiener measure ; The Feynman-Kac formula ; Path integrals in quantum field theory ; Exercises -- Hamiltonian mechanics on manifolds: Calculus on manifolds ; Mechanics on symplectic manifolds ; Exercises -- Geometric quantization on Euclidean space: Introduction ; Prequantization ; Problems with prequantization ; Quantization ; Quantization of observables ; Exercises -- Geometric quantization on manifolds: Introduction ; Line bundles and connections ; Prequantization ; Polarizations ; Quantization without half-forms ; Quantization with half-forms : the real case ; Quantization with half-forms : the complex case ; Pairing maps ; Exercises -- A review of basic material: Tensor products of vector spaces ; Measure theory ; Elementary functional analysis ; Hilbert spaces and operators on them |
| Record Nr. | UNISALENTO-991003377429707536 |
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Hall, Brian C., author
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Semiclassical analysis / Maciej Zworski
| Semiclassical analysis / Maciej Zworski |
| Autore | Zworski, Maciej |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2012 |
| Descrizione fisica | xii, 431 p. ; 27 cm |
| Disciplina | 515 |
| Collana | Graduate studies in mathematics, 1065-7339 ; 138 |
| Soggetto topico |
Quantum theory - Mathematics
Differential equations, Partial |
| ISBN | 9780821883204 |
| Classificazione |
AMS 35Q40
AMS 81Q20 AMS 35P20 LC QC174.17.D54Z96 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001898139707536 |
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Zworski, Maciej
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| Providence, R. I. : American Mathematical Society, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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