A Magnetic Contribution to the Hardy Inequality
We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by Hardy is improved by a non-negative potential...
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| creator | Ekholm, Tomas Portmann, Fabian |
| description | We study the quadratic form associated to the kinetic energy operator in the presence of an external magnetic field in d = 3. We show that if the radial component of the magnetic field does not vanish identically, then the classical lower bound given by Hardy is improved by a non-negative potential term depending on properties of the magnetic field. |
| doi_str_mv | 10.48550/arxiv.1301.0709 |
| format | Article |
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| subjects | Kinetic energy Lower bounds Magnetic fields Magnetic properties Mathematics - Mathematical Physics Mathematics - Spectral Theory Physics - Mathematical Physics Quadratic forms |
| title | A Magnetic Contribution to the Hardy Inequality |
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