Ultra-weak time operators of Schrödinger operators
From MaRDI portal
Publication:2408142
DOI10.1007/s00023-017-0586-xzbMath1404.81088arXiv1607.04702OpenAlexW3100948677MaRDI QIDQ2408142
Publication date: 10 October 2017
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.04702
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Related Items (3)
Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ Absence of embedded eigenvalues for non-local Schrödinger operators ⋮ Time operators and time crystals: self-adjointness by topology change
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on time operators
- A time operator in quantum mechanics
- Zero energy asymptotics of the resolvent for a class of slowly decaying potentials
- On the Heisenberg commutation relation. II
- Classification of certain pairs of operators (P,Q) satisfying \([P,Q=- iId\)]
- Spectral theory of non-commutative harmonic oscillators: an introduction
- On the spectral zeta function for the noncommutative harmonic oscillator
- Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation
- Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators
- Strong time operators associated with generalized Hamiltonians
- On the uniqueness of weak Weyl representations of the canonical commutation relation
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Polynomial growth or decay of eigenfunctions of second-order elliptic operators
- Self adjoint extensions satisfying the Weyl operator commutation relations
- Full spectrum of the Rabi model
- Time in quantum mechanics. Vol. 1.
- Spectrum of time operators
- Explicit Construction of Time-Energy Uncertainty Relationship in Quantum Mechanics
- Rational Construction and Physical Signification of the Quantal Time Operator
- On the Time Operator in Quantum Mechanics. II: -- General Prescription in One Dimensional Case --
- On the Time Operator in Quantum Mechanics: Three Typical Examples
- A generalized Weyl relation approach to the time operator and its connection to the survival probability
- A New Formula Relating Localisation Operators to Time Operators
- Time in the Quantum Theory and the Uncertainty Relation for Time and Energy
- SOME ASPECTS OF TIME OPERATORS
- TIME OPERATORS OF A HAMILTONIAN WITH PURELY DISCRETE SPECTRUM
- Representation-theoretic aspects of two-dimensional quantum systems in singular vector potentials: Canonical commutation relations, quantum algebras, and reduction to lattice quantum systems
- Time in Quantum Mechanics
- Geometry of quantum evolution
- Self–adjoint time operator is the rule for discrete semi–bounded Hamiltonians
- On the Relation $PQ -QP = -iI$.
- GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS
- On the Process of Space Quantization
- Space Quantization in a Gyrating Magnetic Field
This page was built for publication: Ultra-weak time operators of Schrödinger operators