# keywords[]
Quantum Theory Of A Field With A Boundary

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4009 Electronics, Sensors And Digital Hardware

# keywords[]
4009 Electronics, Sensors And Digital Hardware

# educationAndTraining[].organization.label
Princeton University - (Princeton, New Jersey, United States)

# educationAndTraining[].organization.label
Princeton University - (Princeton, New Jersey, United States)

# educationAndTraining[].organization.label
Harvard University - (Cambridge, Massachusetts, United States)

# publications[].label
Investigating the Spectral Geometry of a Soft Wall

# publications[].label
ADIABATIC EXPANSIONS OF SOLUTIONS OF COUPLED SECOND-ORDER LINEAR-DIFFERENTIAL EQUATIONS .1.

# publications[].label
Vacuum Energy and Repulsive Casimir Forces in Quantum Star Graphs

# publications[].label
When is stability in the eye of the beholder? Comments on a singular initial-value problem for a nonlinear differential equation arising in semiclassical cosmology.

# publications[].label
VACUUM ENERGY DENSITY AND PRESSURE NEAR BOUNDARIES

# publications[].label
SINGULARITY STRUCTURE OF 2-POINT FUNCTION IN QUANTUM FIELD-THEORY IN CURVED SPACETIME

# publications[].label
The relation between quantum and classical field theory with a classical source.

# publications[].label
The equivalence principle at work in radiation from unaccelerated atoms and mirrors

# publications[].label
Surface Vacuum Energy in Cutoff Models: Pressure Anomaly and  Distributional Gravitational Limit

# publications[].label
Cataloguing general graphs by point and line spectra

# publications[].label
Wedges, cones, cosmic strings and their vacuum energy

# publications[].label
Two-point functions and renormalized observables

# publications[].label
Why optical diffraction is semiclassical

# publications[].publisher
American Association of Physics Teachers (AAPT)

# publications[].label
Functions and distributions in spaces with thick points

# publications[].label
Convergence of the Neumann Series for the Schrdinger Equation and General Volterra Equations in Banach Spaces

# publications[].label
Statics and dynamics of spin and electric dipoles in three, four, and other dimensions.

# publications[].label
Interacting Bosons at Finite Temperature: How Bogolubov Visited a Black  Hole and Came Home Again

# publications[].label
ENERGY-MOMENTUM TENSOR OF A MASSLESS SCALAR QUANTUM FIELD IN A ROBERTSON-WALKER UNIVERSE

# publications[].label
Comment on "Boundary conditions in the Unruh problem"

# publications[].label
Review of some recent work on acceleration radiation

# publications[].label
The Boundary-Integral Formulation and Multiple-Reflection Expansion for  the Vacuum Energy of Quantum Graphs

# publications[].label
Systematics of the Relationship between Vacuum Energy Calculations and  Heat Kernel Coefficients

# publications[].label
Vacuum energy and closed orbits in quantum graphs

# publications[].label
NORMAL FORMS FOR TENSOR POLYNOMIALS .1. THE RIEMANN TENSOR

# publications[].label
The Local Geometric Asymptotics of Continuum Eigenfunction Expansions. II. One-Dimensional Systems

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
WKB propagators in position and momentum space for a linear potential with a 'ceiling' boundary

# publications[].label
Classical and quantum aspects of the radiation emitted by a uniformly  accelerated charge: Larmor--Unruh reconciliation and zero-frequency Rindler  modes

# publications[].label
Stress tensor for a scalar field in a spatially varying background  potential: Divergences, "renormalization," anomalies, and Casimir forces

# publications[].label
Investigating the Spectral Geometry of a Soft Wall

# publications[].label
REMARKS ON POSITIVE FREQUENCY AND HAMILTONIANS IN EXPANDING UNIVERSES

# publications[].label
Scalar quantum field theory in a closed universe of constant curvature

# publications[].label
WKB propagators in position and momentum space for a linear potential  with a "ceiling" boundary

# publications[].label
CURVED SPACE QUANTUM FIELD THEORY OF THE 1970S ELUCIDATES BOUNDARY CASIMIR ENERGY TODAY

# publications[].label
Quantum optics approach to radiation from atoms falling into a black hole.

# publications[].publisher
Proceedings of the National Academy of Sciences

# publications[].label
The gravitational field of an infinite flat slab

# publications[].label
A Possible New Quantum Algorithm: Arithmetic with Large Integers via the   Chinese Remainder Theorem

# publications[].label
Vacuum energy density and pressure of a massive scalar field

# publications[].label
Functions and Distributions in Spaces with Thick Points

# publications[].label
MULTISCALE SEMICLASSICAL APPROXIMATIONS FOR SCHRODINGER PROPAGATORS ON MANIFOLDS

# publications[].publisher
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

# publications[].label
QUANTUM VACUUM ENERGY IN 2 DIMENSIONAL SPACE-TIMES

# publications[].label
Linearity and the Mathematics of Several Variables

# publications[].label
Coincidence of length spectra does not imply isospectrality

# publications[].label
Some subtleties in the relationships among heat kernel invariants, eigenvalue distributions, and quantum vacuum energy

# publications[].label
Cold atoms: Statistics of dressed modes in a thermal state

# publications[].label
Book Review: Asymptotic formulae in spectral geometry

# publications[].label
The Equivalence Principle at Work in Radiation from Unaccelerated Atoms  and Mirrors

# publications[].label
Some properties of Riesz means and spectral expansions

# publications[].label
GAUGE INVARIANT ASYMPTOTIC-EXPANSION OF SCHRODINGER PROPAGATORS ON MANIFOLDS

# publications[].label
Classical and quantum aspects of the radiation emitted by a uniformly accelerated charge: Larmor-Unruh reconciliation and zero-frequency Rindler modes

# publications[].label
VARIETIES OF INSTABILITY OF A BOSON FIELD IN AN EXTERNAL POTENTIAL

# publications[].label
Static solutions of Einstein's equations with cylindrical symmetry

# publications[].label
The Local Geometric Asymptotics of Continuum Eigenfunction Expansions I. Overview

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Distributional asymptotic expansions of spectral functions and of the associated Green kernels

# publications[].label
Theoretical analysis of 30 MeV proton inelastic scattering

# publications[].label
The analytic approach to recursion relations

# publications[].label
Interacting bosons at finite temperature: How Bogolubov visited a black hole and came home again

# publications[].label
Vacuum energy density and pressure near a soft wall

# publications[].label
Some Subtleties in the Relationships among Heat Kernel Invariants,  Eigenvalue Distributions, and Quantum Vacuum Energy

# publications[].label
Vacuum Stress and Closed Paths in Rectangles, Pistons, and Pistols

# publications[].label
THE LOCAL GEOMETRIC ASYMPTOTICS OF CONTINUUM EIGENFUNCTION-EXPANSIONS .3. BOUNDARY EFFECTS AND COEFFICIENT SINGULARITIES

# publications[].label
Large Numbers, the Chinese Remainder Theorem, and the Circle of Fifths

# publications[].label
Exploring the propagator of a particle in a box

# publications[].publisher
American Association of Physics Teachers (AAPT)

# publications[].label
Renormalization for a Scalar Field in an External Scalar Potential

# publications[].label
Pseudodifferential operators, covariant quantization, the inescapable Van Vleck-Morette determinant, and the R/6 controversy

# publications[].label
Casimir energy with a Robin boundary: the multiple-reflection cylinder-kernel expansion

# publications[].label
Uniformly accelerated classical sources as limits of Unruh-DeWitt  detectors

# publications[].label
Statistics of dressed modes in a thermal state

# publications[].label
Spectral Oscillations, Periodic Orbits, and Scaling

# publications[].label
Radiation from moving mirrors and from black holes

# publications[].label
Distributional Asymptotic Expansions of Spectral Functions and of the  Associated Green Kernels

# publications[].label
A closed form for the intrinsic symbol of the resolvent parametrix of an elliptic operator

# publications[].label
ALTERNATIVE VACUUM STATES IN STATIC SPACE-TIMES WITH HORIZONS

# publications[].label
Gravitational and Inertial Mass of Casimir Energy

# publications[].label
Tidal and nonequilibrium Casimir effects in free fall

# publications[].label
Vacuum energy and repulsive Casimir forces in quantum star graphs

# publications[].label
Global and local vacuum energy and closed orbit theory

# publications[].label
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors

# publications[].label
VACUUM ENERGY DENSITY AND PRESSURE NEAR BOUNDARIES

# publications[].label
Vacuum energy density and pressure near a soft wall

# publications[].label
ADIABATIC EXPANSIONS OF SOLUTIONS OF COUPLED 2ND-ORDER LINEAR-DIFFERENTIAL EQUATIONS .2.

# publications[].label
Vacuum energy density and pressure inside a soft wall

# publications[].label
Spectral oscilliations, periodic orbits, and scaling

# publications[].label
CONTINUUM EIGENFUNCTION-EXPANSIONS AND RESONANCES - A SIMPLE-MODEL

# publications[].publisher
American Association of Physics Teachers (AAPT)

# publications[].label
Quantum Electromagnetic Stress Tensor in an Inhomogeneous Medium

# publications[].label
The Local Asymptotics of Continuum Eigenfunciton Expansions

# publications[].label
AN ASYMPTOTIC AVERAGE DECAY-RATE FOR THE WAVE-EQUATION WITH VARIABLE-COEFFICIENT VISCOUS DAMPING

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
WHAT IS THE TIME DERIVATIVE OF A QUANTUM OBSERVABLE

# publications[].label
Comment on `Wedges, cones, cosmic strings and their vacuum energy'

# publications[].label
ENERGY-MOMENTUM TENSOR NEAR AN EVAPORATING BLACK-HOLE

# publications[].label
Statistics of dressed modes in a thermal state

# publications[].label
Erratum: Statics and dynamics of spin and electric dipoles in three, four, and other dimensions.

# publications[].label
How singular functions define distributions

# publications[].label
Periodic orbits, spectral oscillations, scaling, and vacuum energy: Beyond HaMiDeW

# publications[].label
Radiation from a moving mirror in two dimensional space-time: conformal anomaly

# publications[].label
Asymptotic equipartition of energy by nodal points of an eigenfunction

# publications[].label
The Boundary-Integral Formulation and Multiple-Reflection Expansion for   the Vacuum Energy of Quantum Graphs

# publications[].label
Introduction to Axiomatic Quantum Field Theory

# publications[].label
Wedges, cones, cosmic strings and their vacuum energy (vol 45, 374018, 2012)

# publications[].label
EXPONENTIAL DECAY OF ENERGY OF EVOLUTION-EQUATIONS WITH LOCALLY DISTRIBUTED DAMPING

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Kernel asymptotics of exotic second-order operators

# publications[].label
A Possible New Quantum Algorithm: Arithmetic with Large Integers via the  Chinese Remainder Theorem

# publications[].label
Casimir forces in inhomogeneous media: renormalization and the principle  of virtual work

# publications[].label
Vacuum stress and closed paths in rectangles, pistons and pistols

# publications[].label
Investigations of the torque anomaly in an annular sector. I. Global  calculations, scalar case

# publications[].label
Some Properties of Riesz Means and Spectral Expansions

# publications[].label
A BASIS FOR THE LOCAL SOLUTIONS OF AN ELLIPTIC EQUATION

# publications[].label
Vacuum Energy Density and Pressure Inside a Soft Wall

# publications[].label
Linearity, Symmetry, and Prediction in the Hydrogen Atom by Stephanie Frank Singer.

# publications[].label
Coincidence of length spectra does not imply isospectrality

# publications[].label
Vacuum energy and spectral analysis for Robin boundaries and quantum graphs

# publications[].label
2-POINT FUNCTIONS AND RENORMALIZED OBSERVABLES

# publications[].label
Grover's Algorithm for Multiobject Search in Quantum Computing

# publications[].label
Local spectral density and vacuum energy near a quantum graph vertex

# publications[].label
Comment on: "The Casimir force on a piston in the spacetime with extra  compactified dimensions" [Phys. Lett. B 668 (2008) 72]

# publications[].label
How does Casimir energy fall? IV. Gravitational interaction of  regularized quantum vacuum energy

# publications[].label
RADIATION AND VACUUM POLARIZATION NEAR A BLACK-HOLE

# publications[].label
Tidal and nonequilibrium Casimir effects in free fall

# publications[].label
Vacuum energy density and pressure of a massive scalar field

# publications[].label
HEAT-EQUATION ASYMPTOTICS OF NONMINIMAL OPERATORS ON DIFFERENTIAL FORMS

# publications[].label
Vacuum energy density and pressure inside a soft wall

# publications[].label
Generalization of Grover's Algorithm to Multiobject Search in Quantum  Computing, Part I: Continuous Time and Discrete Time

# publications[].label
Asymptotology: Ideas, Methods, and Applications

# publications[].label
How to Avoid the Inverse Secant (and Even the Secant Itself)

# publications[].label
Vacuum energy density and pressure inside a soft wall

# publications[].label
Renormalization in the theory of a quantized scalar field interacting with a robertson-walker spacetime

# publications[].label
The Global Approach to Quantum Field Theory

# publications[].label
A CLOSED FORM FOR THE SYMBOL OF THE RESOLVENT PARAMETRIX OF AN ELLIPTIC OPERATOR

# publications[].label
Wedges, Cones, Cosmic Strings, and the Reality of Vacuum Energy

# publications[].label
THE GRAVITATIONAL ANOMALY - AN ELEMENTARY, COORDINATE-SPACE APPROACH

# publications[].label
Systematics of the relationship between vacuum energy calculations and heat-kernel coefficients

# publications[].label
SINGULARITY STRUCTURE OF THE 2-POINT FUNCTION IN QUANTUM-FIELD THEORY IN CURVED SPACETIME .2.

# publications[].label
Comment on 'Wedges, cones, cosmic strings and their vacuum energy' (vol 47, 059401, 2014)

# publications[].label
Graph Expansions and Graphical Enumeration Applied to Semiclassical Propagator Expansions

# publications[].label
Local Spectral Density and Vacuum Energy near a Quantum Graph Vertex

# publications[].label
Comment on: "The Casimir force on a piston in the spacetime with extra compactified dimensions" [Phys. Lett. B 668 (2008) 72]

# publications[].label
Aspects of Quantum Field Theory in Curved Space-Time

# publications[].label
ENERGY DENSITY AND PRESSURE IN POWER-WALL MODELS

# publications[].label
Renormalization for a Scalar Field in an External Scalar Potential

# publications[].label
ENERGY DENSITY AND PRESSURE IN POWER-WALL MODELS

# publications[].label
THE RESOLVENT PARAMETRIX OF THE GENERAL ELLIPTIC LINEAR-DIFFERENTIAL OPERATOR - A CLOSED FORM FOR THE INTRINSIC SYMBOL

# publications[].label
Grover's algorithm for multiobject search in quantum computing

# publications[].label
Static solutions of Einstein's equations with cylindrical symmetry

# editorOf[].label
Forty More Years of Ramifications Spectral Asymptotics and Its Applications

# editorOf[].label
Quantum Graphs and Their Applications Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Liu, Zhonghai (2006-08). Cylinder kernel expansion of Casimir energy with a Robin boundary. Master's Thesis.

# etdChairOf[].label
Gunturk, Kamil Serkan (2003-05). Covariant Weyl quantization, symbolic calculus, and the product formula. Doctoral Dissertation.

# etdChairOf[].label
Mera, Fernando Daniel (2011-05). The Schrodinger Equation as a Volterra Problem. Master's Thesis.

# etdChairOf[].label
Bouas, Jeffrey David (2011-05). Hertz Potentials and Differential Geometry. Master's Thesis.

# etdChairOf[].label
Zapata, Todd Austin (2007-12). The WKB approximation for a linear potential and ceiling. Master's Thesis.

# etdChairOf[].label
Liu, Zhonghai (2009-12). Closed Path Approach to Casimir Effect in Rectangular Cavities and Pistons. Doctoral Dissertation.