%PDF-1.5 % 1 0 obj << /S /GoTo /D (chapter.1) >> endobj 4 0 obj (Introduction) endobj 5 0 obj << /S /GoTo /D (section.1.1) >> endobj 8 0 obj (So, what's wrong with time in Quantum Mechanics?) endobj 9 0 obj << /S /GoTo /D (subsection.1.1.1) >> endobj 12 0 obj (And what's special about the time of arrival?) endobj 13 0 obj << /S /GoTo /D (subsection.1.1.2) >> endobj 16 0 obj (And why do we insist studying it despite the difficulty?) endobj 17 0 obj << /S /GoTo /D (section.1.2) >> endobj 20 0 obj (An overview of the project) endobj 21 0 obj << /S /GoTo /D (subsection.1.2.1) >> endobj 24 0 obj (Goals) endobj 25 0 obj << /S /GoTo /D (subsection.1.2.2) >> endobj 28 0 obj (Structure) endobj 29 0 obj << /S /GoTo /D (subsection.1.2.3) >> endobj 32 0 obj (Prerequisites) endobj 33 0 obj << /S /GoTo /D (subsection.1.2.4) >> endobj 36 0 obj (Acknowledgements) endobj 37 0 obj << /S /GoTo /D (subsection.1.2.5) >> endobj 40 0 obj (Declaration) endobj 41 0 obj << /S /GoTo /D (chapter.2) >> endobj 44 0 obj (The Classical Reference to the Quantum Problem) endobj 45 0 obj << /S /GoTo /D (section.2.1) >> endobj 48 0 obj (Formulating the general case) endobj 49 0 obj << /S /GoTo /D (subsection.2.1.1) >> endobj 52 0 obj (Standard Quantization, a brief aside) endobj 53 0 obj << /S /GoTo /D (section.2.2) >> endobj 56 0 obj (The Free Particle Case) endobj 57 0 obj << /S /GoTo /D (subsection.2.2.1) >> endobj 60 0 obj (The classical time-of-arrival probability distribution) endobj 61 0 obj << /S /GoTo /D (subsection.2.2.2) >> endobj 64 0 obj (The classical expression for the average time of arrival) endobj 65 0 obj << /S /GoTo /D (subsection.2.2.3) >> endobj 68 0 obj (The difficulty of obtaining a probability distribution in Quantum Mechanics) endobj 69 0 obj << /S /GoTo /D (section.2.3) >> endobj 72 0 obj (The Variety of Approaches) endobj 73 0 obj << /S /GoTo /D (chapter.3) >> endobj 76 0 obj (Rejecting self-adjointness) endobj 77 0 obj << /S /GoTo /D (section.3.1) >> endobj 80 0 obj (Pauli's ``Theorem") endobj 81 0 obj << /S /GoTo /D (subsection.3.1.1) >> endobj 84 0 obj (Time-energy commutation relation) endobj 85 0 obj << /S /GoTo /D (subsection.3.1.2) >> endobj 88 0 obj (Proof of nonexistence according to Pauli) endobj 89 0 obj << /S /GoTo /D (section.3.2) >> endobj 92 0 obj (Two renowned ``ideal" suggestions) endobj 93 0 obj << /S /GoTo /D (subsection.3.2.1) >> endobj 96 0 obj (Kijowski's axiomatic time-of-arrival probability distribution) endobj 97 0 obj << /S /GoTo /D (subsection.3.2.2) >> endobj 100 0 obj (Aharonov-Bohm symmetric time-of-arrival operator) endobj 101 0 obj << /S /GoTo /D (subsection.3.2.3) >> endobj 104 0 obj (Giannitrapani and the POVMs) endobj 105 0 obj << /S /GoTo /D (chapter.4) >> endobj 108 0 obj (Retrieving self-adjointness) endobj 109 0 obj << /S /GoTo /D (section.4.1) >> endobj 112 0 obj (Modifying the time-of-arrival operator) endobj 113 0 obj << /S /GoTo /D (subsection.4.1.1) >> endobj 116 0 obj (Basic definitions and relations) endobj 117 0 obj << /S /GoTo /D (subsection.4.1.2) >> endobj 120 0 obj (Redefining the domain of the \040operator) endobj 121 0 obj << /S /GoTo /D (subsection.4.1.3) >> endobj 124 0 obj (The \040operator for the free particle case) endobj 125 0 obj << /S /GoTo /D (subsection.4.1.4) >> endobj 128 0 obj (The time-of-arrival probability distribution) endobj 129 0 obj << /S /GoTo /D (section.4.2) >> endobj 132 0 obj (Modyfing both operators) endobj 133 0 obj << /S /GoTo /D (subsection.4.2.1) >> endobj 136 0 obj (Introducing a new commutation relation) endobj 137 0 obj << /S /GoTo /D (subsection.4.2.2) >> endobj 140 0 obj (Non-bounded energy states and a new energy operator) endobj 141 0 obj << /S /GoTo /D (subsection.4.2.3) >> endobj 144 0 obj (A self-adjoint ``time" operator) endobj 145 0 obj << /S /GoTo /D (subsection.4.2.4) >> endobj 148 0 obj (Association with physical time) endobj 149 0 obj << /S /GoTo /D (subsection.4.2.5) >> endobj 152 0 obj (The time-of-arrival probability distribution) endobj 153 0 obj << /S /GoTo /D (chapter.5) >> endobj 156 0 obj (Final Remarks and Conclusions) endobj 157 0 obj << /S /GoTo /D (section.5.1) >> endobj 160 0 obj (Derivation of the Kijowksi\220s distribution using general arguments) endobj 161 0 obj << /S /GoTo /D (subsection.5.1.1) >> endobj 164 0 obj (Clarifying remarks on the time-of-arrival quantum quantity) endobj 165 0 obj << /S /GoTo /D (subsection.5.1.2) >> endobj 168 0 obj (The derivation) endobj 169 0 obj << /S /GoTo /D (subsection.5.1.3) >> endobj 172 0 obj (Commentary on the two methods) endobj 173 0 obj << /S /GoTo /D (section.5.2) >> endobj 176 0 obj (On Pauli\220s ``Theorem" and on our ``optimism") endobj 177 0 obj << /S /GoTo /D [178 0 R /Fit] >> endobj 181 0 obj << /Length 660 /Filter /FlateDecode >> stream xڕSMs0+tV$YVo4C&1v2]YMw$QGMGOC\$#)G#”xSBe?1=/f%CW3sxqMG߄BLΤ@RMHhPEx\OfE\-MAHGֻp4K8 Z7Saް)Fm  Rn414]{/AȄ'1`ʠ 6( $iݑyV.*kYgE_c[%eP(c >&Su4Lڧ m5}c32;^UK664p s5v/뢰}QW[p&++ endstream endobj 178 0 obj << 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